Find the volume of the solid of revolution obtained by rotating the region bounded by y=1/x, y=2/x, and the lines x=1, and x=3 rotated about the x-axis. 3T π 2π
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Q: Below is the graph of y=x. Transform it to make it the graph of y=-x-4-2.
A: a) y=-x-4-2b) y=-2x-4
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Q: Evaluate the integral. 8t 8 e S dt 1+ e 8t 8e 1+e 8t 8t dt =
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Q: 3 If f *¸9 (2) dx = -5 g(x) dx = -2 and Find the value of 3 15 -5 g(x) dx 15 g(x) dx = 9
A: Solution of given question is written in below steps.
Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0
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Q: Solve each of the following problems completely. Draw the complete figures for each question. 1.…
A: Please see the below picture for detailed solution.
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Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…
A: topic- equation of tangent line parallel to given line
Q: lim.. lim X→+∞0⁰ In5 x x² In 1000 X 5 X X→→→→+∞0
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Q: Sketch the vector field F(x, y) = i + 3j and calculate the line integral of F along the line segment…
A: We have to sketch the vector field.
Q: 3/ Find Value of integral ) dx 0 X+1
A: I am attaching image so that you understand each and every step.
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Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…
A: Let's find area of surface obtained by given curve.
Q: The are of the parabola y=x² from (1, 1) to (2, 4) is rotated about the y-axis. Find the area of the…
A: Let's find area of the resulting surface.
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Q: Find the derivative of 4Inloge*
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Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.
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Q: Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area of…
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Q: 6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x=-1, x = 2.
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Q: Evaluate the equation f Select one: a. 0.5 b. -1 Oc. 2 Qd. 1 dzdy
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Q: Find y' 1. (x-y)2 = sin x + sin y
A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…
Q: Evaluate the following limits. a. limx→+ 2x 3x²
A: This question is based on limits.
Q: 10. f(x) = x³ + 1
A: Here, the given function is: f(x)=x3+1 Here, the y-intercept is (0,1) and no x-intercept is (-1,0)…
Q: Find the differential dy of the given function. (Use "dx" for dx.) y = In (√9-x²) dy =
A: Solution: y=ln9-x2 Differentiate both sides
Q: ) Find dw if w = xe³/², x = t², y = 1 — t, and z = dt 1 + 2t.
A: Topic:- application of derivatives
Q: Subject: Integral
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Q: Find Vf at the given point. f(x,y,z) = x³ +y³ - 2z² + z lnx, (1,4,5) Vf|(1,4,5) = 7i+(-24)j + (75)k…
A: Finding the gradient of f at the given point.
Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2
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Q: Determine the radius of convergence of the following power series. Then test the endpoints to…
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Q: Evaluate f , rydyda Select one: a. 3 b. 1 C. 2 d. o
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Q: 3√3 dx √3 x² √√x² +9 2
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Q: Consider the following sequence defined by a recurrence relation. Use a calculator, analytical…
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Q: Find the differential dy of the given function. y = √√√√9-x²
A: Given y=9-x2 we need to find dy
Q: Find all the second-order partial derivatives of the following function. f(x,y) = x³y²-x² + y² 2 ax…
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Q: The general solution of y” + y = cos2 x
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Q: Determine the center of mass for the region bounded by the following. Answer as a fraction…
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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…
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Q: Evaluate the integral da Select one: a. +C O b. о с. O d. - Inz - -/+C 2x inz -/+C - 2in1+²+C N 4
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Q: ecosh z √x+1 Let F(x) S 1. Find F(0). 2. Find F'(x). sin(1 t) dt.
A: Let's find value of given function.
Q: Simplify tan x sin x + cos x.
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Q: 2 2 dx 2x (V2x + 9)
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Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)
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Q: 4. Evaluate the following limits. a. lim X→→→+** 2x 3x² b. lim c. lim -3/x X In5 x x²
A: This is a problem related to limit calculation. Based on the general formula and concepts we will…
Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q² +2500q, how many items must…
A: Let's find how many items must be the company produce and sell to break down.
Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10
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- A researcher's survey results indicate that about 50% of 12th graders consume less than 300g of vegetables at lunch, about 40% consume 300-600g, and only 10% of them consume more than 600g. A high school conducted a survey of student diets and health information, and reported data about 12th graders' vegetable intake at lunch is reported in the table photo. If researchers wants to find out whether the high school has the same proportions of 12th graders in the vegetable intake categories as reported by the survey, what would the appropiate test statistic be to use and why. Choosing between an ANOVA, Chi -Square independence tests, Chi Square Goodness of Fit, and One sample proportion test?A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population. more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. 5% of those who take the drug actually get headaches. all individuals who take the medication.Your friend and you are playing an innocent game of rock-paper-scissors. To play it honestly, the chances of picking any of the three options should be the same and chosen at random. However, you suspect that your friend chooses one of the options more often than the others in order to gain an edge. You play 36 games with your friend. Based on playing the game honestly, what are the expected counts for each of the options your friend should have showed? A. 3, 3, 3 B. 12, 12, 12 C. 120, 120, 120 D. 33, 33, 33
- A company uses an automated process in checking for defective electronic devices that they manufacture. For devices that are defective, 98% of them will be labeled as defective. Three percent of the devices that are okay (not defective) will be labeled as defective. Four percent of the devices made by this company are defective. _____________________ percent of devices that are labeled as defective are not defective.About statistics The club members are going to elect their officers. If there are 4 candidates for president, 3 for vice president, and 2 for secretary, then in how many ways can the officers be elected?A car dealership sells three different models of trucks: the Rugged Model, the Sport Model, and the Heavy Duty Model. The dealership recently surveyed their new truck owners and found that 65 % of the Rugged Model owners, 76 % of the Sport Model owners, and 81 % of the Heavy Duty Model owners were satisfied with their purchase. Of the new truck owners, 20 % had purchased the Rugged Model, 30 % had purchased the Sport Model, and the remaining 50 % had purchased the Heavy Duty Model. Find the percent of new truck owners who were not satisfied with their purchase.
- In two player’s dynamic games the player who moves second gets the advantage because we solve the game backwards. Explain why or why not?Suppose that you are taking a course where the total class grade is the weighted average of your homework, worksheets, quizzes and tests.The homework is worth 15% of the course grade, worksheets are worth 20% of the course grade, the quizzes are worth 25% of the course grade, and tests are worth 40% of the course grade. To get a B in the course, you must have an overall average of at least 80%.Your current grades in each category are:Homework = 7575%, Worksheets = 7474%, and Quizzes = 6868%.What is the minimum test average you need to get a B in the course?.Your answer is: % (Round to at least 1 decimal place)A researcher would like to use a factorial study to compare two programs designed to help people stop smoking. The smoking behavior of each participant will be measured at the beginning of the program, at the end of the program, and again four months after the program has ended. Thus, the two treatment programs make up one factor, the three measurement times make up the second factor. For this study, which factor(s) should be between-subjects and which should be within-subjects? Explain your answer.
- The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. Part A) Do buyers pay a premium for a brick house, all else being equal? Use one Excel spreadsheet labeled Prob3a to show your work for this problem. Part B) Is there a premium for a house in neighborhood 3, all else being equal? Use one Excel spreadsheet labeled Prob3b to show your work for this problem. Home Nbhd Offers Sq Ft Brick Bedrooms Bathrooms Price 1 2 2 1790 No 2 2 228600 2 2 3 2030 No 4 2 228400 3 2 1 1740 No 3 2 229600 4 2 3 1980 No 3 2 189400 5 2 3 2130 No 3 3 239600 6 1 2 1780 No 3 2 229200…Scenario: A sports psychologist studied the effect of a motivational program on number of injuries in one year among players of three different sports (baseball, football, and basketball). Players were randomly assigned to one of two conditions: either participate in a motivational program or none (control). Data was collected on the number of injuries sustained by each athlete that season. Question: How many levels does the factor "sports" have? Group of answer choices 0 1 2 3 Scenario: A sports psychologist studied the effect of a motivational program on number of injuries in one year among players of three different sports (baseball, football, and basketball). Players were randomly assigned to one of two conditions: either participate in a motivational program or none (control). Data was collected on the number of injuries sustained by each athlete that season. Question: Which of the following best describes the scenario? Between-subjects Within-subjects Mixed…The number of students attending the game