Q: a) fx² sec2
A:
Q: Evaluate lim (x)/
A: We can find the limit as below.
Q: xp-
A:
Q: 6. Determine. 2r - 3x 4x SET A.
A: I have stated the used formula in the solution
Q: Product A and Product B are two different items manufactured by the same firm. Product A is…
A:
Q: Integral calculus, partial fraction decomposition
A:
Q: 2X メ→チ 7-x
A:
Q: x3-4x-10 dx. x2-x-6 (2x + 2 In|x – 3| - 4 In |x + 2|) + C - 2 In|x – 3| + 4 In |x + 2l) + C Option 1…
A:
Q: Solve for x in the following expression using the quadratic formula. 3x2 + 19x – 4.9 = 0 Use at…
A: We can solve this as follows:
Q: Find both first partial derivatives. z = Gy?V az az ay
A:
Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]
A: We have to find range of give function.
Q: Describe the graph of the equation. r= 5 cos t i - 18 sin 1 j +k O An ellipse in the planex = 1,…
A:
Q: 1. The study of integrals in calculus is motivated by the problem of calculating (a) the slope of a…
A:
Q: (c) f(x) = sin? x [Hint: sin? r = l-cos 21] (a) f(r) = r arctan r b) f(x)=x²e- %3D
A:
Q: For a plane curve r(t) = (x(t), y(t)), |æ'(t)y" (t) – x"(t)y' (t)| (x'(t)² + y' (t)²)³/2 - k(t) Use…
A: Here we have to use this equation to compute the curvature at the given point.
Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…
A:
Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y= 0, y = 7+a*…
A:
Q: Find the domain, x-intercept, and vertical asymptote of the logarithmic function and sketch its…
A: We have to find out
Q: 1. Do the integration by substitution for the following integral and find the value of definite…
A: We have to find the given integral value.
Q: 3. [sinh ot e"dt Ans.
A:
Q: Sing do Coso + Cose-2
A: LetI=∫sinθcos2θ+cosθ-2dθPut cosθ=uDifferentiate on both…
Q: 5x2+11x+2 dx x(x+1)²
A: integration using partial fraction
Q: (-4)* 5k +1 k=1
A: We have to find if the series convergent or divergent.
Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…
A:
Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004q - 0.9q + 615. The…
A:
Q: 1. Solve for x, if 0 < 0 < 2n. Write your answers in exact values only. 2 2cos" x + cos x- 1 0
A: Given: 2cos2x+cosx-1=0 and 0≤θ≤2πlet cosx=mthen 2cos2x+cosx-1=0 2m2+m-1=0We know that root…
Q: In the year 2000, the population of a small city was 43,000. The population grows at a rate of r(t)…
A:
Q: Determine the slope of the tangent to √1-x at the point (-8, 3).
A:
Q: 1. Find all relative extrema and soddle points of the functon Use econd Partials Test where appli…
A:
Q: 14th term of the following geomnetric sequence. Find the 1. 2, 4, 8, 0. 昌 唱
A: Use geometric series concept
Q: For the curve given by r(t) = (5 sin(t), –2t, – 5 cos(t)), Find the unit tangent T(t) = (| Find the…
A:
Q: For the function f(x)=2x^{2}+4x-1f(x)=2x2+4x−1, find the slope of the secant line between x=-1x=−1…
A:
Q: - x = (y – 2)²
A: The question is a bit unusual, because, the given equation is not a cylinder. Instead the equation…
Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5- 5 -5+ -5+
A: Given data÷
Q: *+ 2y = te-2t, y(1) = 0 2. Solve the IVP: dt
A:
Q: Find all the critical points of the function f(x, y) = x³ + y³ – 9x2 – 21x – y - 66 and label them…
A: Local Extremum values: Consider the function f(x,y) .For critical points , fx(x,y)=0…
Q: b) Use L'Hôpital's Rule to evaluate the limit L. e2x lim X→ ∞ x²
A:
Q: Solve the system of differential equations. [ 3 x' 0 - 4. x1(0) = – 12, x2(0) = – 10 - æ1(t) = %3D…
A:
Q: 4. a) Find the average value of the function over the given interval. f(x) [4, 25] Vx'
A:
Q: Solve for x. log x = - 4 0.0001 -0.0001 1.386 -4
A:
Q: 4–6 Find the directional derivative of f at the given point in the direction indicated by the angle…
A:
Q: Find the divergence of the vector field F. F(x, Y, z) = In( 9x²+ 8y² )i + 72xyj + In(8y² + 7z? )«…
A:
Q: Find the area inside the circle r = = cos 0, but outside the circle r = 1/2. Sketch the graphs first
A:
Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…
A: Rate of decay of C14 is proportional to its amountdctdt=kct…
Q: Find the general solution of the differential equation. dy = xy + 3x dx
A: To find the general solution of the following differential equation.dydx=xy+3x
Q: Let f (x, y) = e(8x-9y). Find the equation for the tangent plane to the graph of f at the point…
A:
Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…
A: Improper integral: If f(x) is not continuous at x=c where a<c<b and ∫ac f(x) dx and ∫cb f(x)…
Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21
A:
Q: TIIS que IS mat you are usng your calc necuy. Use a calculator to do this calculation. 10-15 3.9 x…
A:
Q: the
A: We will find the derivative.
Step by step
Solved in 2 steps
- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2According to http://www.gasandoil.com/goc/news/ntl50398.htm , accessed on Feb 2, 2005, “17-12-04 Jamaica has found signs of oil in 10 exploratory wells drilled into deep underground structures. Now it's come to Houston looking for oil companies willing to help the island nation, which depends heavily on tourism, bauxite and alumina, to become the world's next oil and natural gas producer. Hopeful Jamaican officials traveled to Houston promoting the nation's first formal license round, offering 22 offshore blocks and four on-shore blocks. "There are plenty of reserves yet to be found -- exploration in new frontiers is now warranted," said Raymond Wright of the Petroleum Corporation of Jamaica, reflecting on the world's supply dilemma. Oil explorers order seismic tests to determine whether oil is likely to be found in a certain drilling area. These seismic tests have a known reliability: When oil exists the tests indicate so 85% of the time and when oil does not exist the…It has been suggested that daily production of a subassembly would be increased if better lighting were installed and background music and free coffee and doughnuts were provided during the day. Management agreed to try the scheme for a limited time. A listing of the number of subassemblies produced per week before and after the new work environment for each employee follows. Employee Past Production Record Production after Installing, Lighting, Music, etc. JD 23 33 SB 26 26 MD 24 30 RCF 17 25 MF 20 19 UHH 24 22 IB 30 29 WWJ 21 25 OP 25 22 CD 21 23 PA 16 17 RRT 20 15 AT 17 9 QQ 23 Show your work, please. Thanks!
- It has been suggested that daily production of a subassembly would be increased if better lighting were installed and background music and free coffee and doughnuts were provided during the day. Management agreed to try the scheme for a limited time. A listing of the number of subassemblies produced per week before and after the new work environment for each employee follows. Employee Past Production Record Production after Installing, Lighting, Music, etc. JD 23 33 SB 26 26 MD 24 30 RCF 17 25 MF 20 19 UHH 24 22 IB 30 29 WWJ 21 25 OP 25 22 CD 21 23 PA 16 17 RRT 20 15 AT 17 9 QQ 23 30 FIND: State the decision rule and show your work: Reject H0 if T ≤ : Compute T and arrive at a decision (Show your work). T = ____________ , do not reject H0.plz provide handwritten answer for question 2 part d asap for getting upvoteAn inventor has developed a system that allows visitors to museums, zoos and other attractions to get information at the touch of a digital code. For example, zoo patrons can listen to an announcement (recorded on a microchip) about each animal they see. It is anticipated that the device would rent for Ksh3.00 each. The installation cost for the complete system is expected to be about Ksh400,000. The ABC zoo is interested in having the system installed, but the management is uncertain about whether to take the risk. A financial analysis of the problem indicates that if more than 10% of the zoo visitors rent the system, the zoo will make a profit. To help make the decision, a random sample of 400 zoo visitors is given details of the systems capabilities and cost. If 48 people say that they would rent the device, can the management of the zoo conclude at the 5% significance level that the investment would result in a profit
- According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 6 comma 0006,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were counted, a gain of 12 comma 10712,107 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house. Find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…Johnson Filtration, Inc. provides maintenance service for water-filtration systems. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. Repair Time(hours) Months SinceLast Service Type ofRepair Repairperson 2.9 2 electrical Dave Newton 3.0 6 mechanical Dave Newton 4.8 8 electrical Bob Jones 1.8 3 mechanical Dave Newton 2.9 2 electrical Dave Newton 4.9 7 electrical Bob Jones 4.2 9 mechanical Bob Jones 4.8 8 mechanical Bob Jones 4.4 4 electrical Bob Jones 4.5 6 electrical Dave Newton Ignore for now the months since the last maintenance service (x1 ) and the repairperson who performed the service. Develop the estimated simple linear regression equation to predict the repair time (y) given the…
- In Example 7.5, we implied that each of the five observations was from one period of time, such as a particular week. Suppose instead that each isan average over several weeks. For example, the 4.7 million exposures corresponding to one ad might really be an average over 15 different weeks where one ad was shown in each of these weeks. Similarly, the 90.3 million exposures corresponding to 50 ads might really be an average over only three different weeks where 50 ads were shown in each of these weeks. If the observations are really averages over different numbers of weeks, then simply summing the squared prediction errors doesn’tseem appropriate. For example, it seems more appropriate that an average over 15 weeks should get five times as much weight as an average over only three weeks. Assume the five observations inthe example are really averages over 15 weeks, 10 weeks, 4 weeks, 3 weeks, and 1 week, respectively. Devise an appropriate fitting function, to replace sum of squared…The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 10% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more interesting and profitable items on the shelves. Before making a final decision she decides to keep track of the total number of customers for a day, and whether they purchase specialty clothes for their pet. a) Assuming the pet store owner is correct in thinking that only 10% of her customers purchase specialty clothes for their pets, how many customers should she expect before someone buys a garment for their pet? b) What is the probability that she does not sell a garment until the 5th customer? c) What is the probability that exactly 4 of the first 10 customers buy specialty clothes for their pet? d) What is the probability that at least 3 of the first 35 customers buy specialty clothes for their pet?…TION 18 Wholemark is an Internet order business that sells one popular New Year's greeting card once a year. The cost of the paper on which the card is printed is $0.05 per card, and the cost of printing is $0.15 per card. The company receives $2.15 per card sold. Since the cards have the current year printed on them, unsold cards have no salvage value. Its customers are from the four areas: Los Angeles, Santa Monica, Hollywood, and Pasadena. Based on past data, the number of customers from each of the four regions is normally distributed with a mean of 2,000 and a standard deviation 500. (Assume these four are independent.)What is the optimal production quantity for the card? (Use Excel's NORM.S.INV() function to find the z value. Round z value to 2 decimal places. Round your answer to the nearest whole number.)
