1) Find the average rate of change of the function over the given interval. a) f(x) = x + 1, [2,3] b) f(x) = cot x
Q: Determine the instantaneous rate of change of the function πt ³ √x sin 2 f(x) = LV x3 1 + √t at x=2.…
A: Leibnitz integral rule.
Q: Find the averages rate of change of y = vĩ with respect to x over the interval [1, 4] and interpret…
A: y=x
Q: What is the average rate of change of Y with respect to X over the interval [1, 3| for the fuction y…
A:
Q: Find the average rate of change of f(x) = x² from a. x = 0 to x, = 1 b. x1 = 1 to x, = 2 c. x = -2…
A: We have to find average rate of change of fx=x2 for the given intervals: a. x1=0 to x2=1 b. x1=1…
Q: Compute the average rate of change of f(x) = x2 − 2x on the interval [1, 3]. Find c ∈ (1, 3) which…
A:
Q: Consider the function f(x)=D4-sin(2x) on [0,2T1]. Find the linearization (equation of tangent line)…
A:
Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…
A:
Q: Determine the average rate of change of the function y = sinx from X = 0 to x = 2 O1 2
A: The average rate of change of the function f(x) can be calculated using the formula Average rate of…
Q: Find the rate of change of y with respect to x at the indicated value of x. sin(x) :- 11 - cos(x)' y…
A:
Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…
A: The given function is y=3x+2 over an interval -5,-2. We have to find the average rate of change of y…
Q: Find the average rate of change of h(x) = cotx over the interval E, %3D
A:
Q: Let f(x) = x². a) Find the tangent line to the graph of the function at x = 9. y = b) Find the…
A:
Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…
A:
Q: 16 Find the average rate of change between (x, f(x), (x + h, f(x + h)) given the Tunction f(x) = x²…
A: According to Bartleby's policy we are allowed to solve only 1 question at a time. So, Here's the…
Q: 3. Estimate the derivative of the function, f(x) = cos x + tan1 x, at xi= 0.5 using Richardson's…
A: To find the derivative of the function fx at x=x0 by Richardson's extrapolation centered finite…
Q: 3. Find the equation of the normal line to the curve f(x) = 6e2* cos x at the point (0,6).
A: Given: fx=6e2xcosx; 0,6 We know that for finding equation of normal at given point, we need to find…
Q: Let f:[-n, 7] –→ R, where f(x) = 2 sin (2x) – 1. TC Calculate the average rate of change of f…
A:
Q: Find the average rate of change of f from 0 toπ/2 . f(x)=cos(2 x)
A: Find the average rate of change of f from 0 to π2 . f(x)=cos(2x)
Q: Determine the average rate of change of the function on the given internal. f(x) = x3 – 2 a. on [-1,…
A: Recall: The average rate of change of function is, A(x)=f(b)-f(a)b-a Given, f(x)=x3-2
Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1
A:
Q: What formula will describe the average rate of change of f(x) = 3* over the interval [0, 3]? Don't…
A:
Q: 2. What is the average rate of change of y with respect to x over the interval [-3, 4] for the…
A:
Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…
A: Given, g(t)=2+cost, -π,π The average rate of change of function f(x) over an interval [a,b] is,…
Q: 5. First compute the derivative of f(x)= Vĩ and then use it to: a. Find the equation of the tangent…
A: Given equation of curve is fx=x. Power rule of differentiation states that: ddxxn=nxn-1…
Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…
A:
Q: What is the average rate of change of y with respect to over the interval [3, 5] for the function…
A: topic- average rate of change of function average rate of change for linear equation is equal to its…
Q: 1. Find the centered difference approximations of 0(h^4 ) for the first derivative of y=sin(x) +…
A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…
Q: Find the equation of the normal line to the curve f (x) = 6e2x cos x at the point (0,6). %3D
A: Now point on the function is (0,6 ) . Step 1 : find the value of the derivative at x=0 . So, f(x) =…
Q: Find the rate of change of y with respect to x at the indicated value of x. sin(x) y = 5 - cos(x) X…
A:
Q: find the average value of the function over the given interval f(x)=1/sqrt(x) [4,9] find all…
A: Average value of function f(x) over Interval 9 , 6 is given by Average = 1b-a∫abf(x) dx
Q: The average rate of change of f(x) = cos(x) with respect to x as a changes from 0 to π is 2 OOO 2 -2…
A: We have to find the average rate of change.
Q: 7) Find the average rate of change of the function A(x) = sin ( 2x - -) from x = to x =
A: A(x) = sin(2x - π/6) A(x2) = A(5π/6) = sin(2*5π/6 - π/6) = sin (9π/6) =…
Q: 1 By considering the secant through the points where x = 1.2 and x = instantaneous rate of change of…
A:
Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…
A: gt=2+cost, 0, π
Q: How do you solve question 10?
A: Given function is By definition of derivative , we have
Q: Find the derivative of the function at Po in the direction of A. g(x, y) = x- (y/x) + V3 sec (2xy),…
A: we have to find directional derivative.
Q: 4. Calculate the average value of each function over the given interval. Hint: use the identity sec²…
A: Average is evaluated.
Q: 42. f(x) = sec² x, [
A:
Q: Find the average rate of change of the function over the given interval. Compare this average rate…
A: Average rate of change: Average rate of change of any function f(x) of [a, b] is, fave=fb-fab-a…
Q: 1. Find the average rate of change in y with respect to x over the interval [1, 7]. 2. Use the…
A: Given that: The function is f(x) = 4x -3 .
Q: find the average rate of change of the function over the given interval or intervals. 1. g(x) = x2 -…
A:
Q: Find the average rate of change of the function A(x) = πx2 where A is the area of a circle with…
A: For function f(x) in the interval [a,b], average rate of change of the function is f(b)-f(a)b-a
Q: What is the average rate of change of Y with respect to X over the interval 3, 5| for the function y…
A:
Q: Find the slope of the normal line to the graph of g(x) = = at the point where x = 0. sin¯¹(x)+e²
A: Slope of the Normal line to the curve f(x) is -1f'(x).
Q: Find the average rate of change of the function on the interval specified Y=1/x on [1,3]
A: We know that ,The average rate of change of function over an interval a,bis given by f(b)-f(a)b-a
Q: 3. Find the average rate of change of the function f(x) = sin x, [0, t/6] over the given interval.…
A: The given function is f(x)=sin x
Q: Find the values of x on [0, 2 ) π where the tangent line of f x( ) be horizontal. y=e^-x (cosx)
A:
Q: DETERMINE THE INSTANTANEOUS RATE OF CHANGE OF THE FUNCTION AT X=1 sin (2³) 1 + √t - f(x) = x3 dt
A:
Step by step
Solved in 3 steps
- A new warehouse is being designed and a decision concerning the number of loading docks is required. There are two models based on truckarrival assumptions for the use of this warehouse, given that loading a truck requires 1 hour. Using the first model, we assume that the warehouse could be serviced by one of the many thousands of independent truckers who arrive randomly to obtain a load for delivery. It is known that, on average, 1 of these trucks would arrive each hour. For the second model, assume that the company hires a fleet of 10 trucks that are assigned full time to shipments from this warehouse. Under that assumption the trucks would arrive randomly, but the probability of any truck arriving during a given hour is 0.1. Obtain the appropriate probability distribution for each of these assumptions and compare the results.Use complementary slackness and the solution to its dual problem to find solution(s) to the primal LPP.A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units ofVit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.Required:1. Formulate the following:a. Decision variablesb. Objective functionc. Constraints2. Graph3. Identify feasible region.4. Solve for the value of X and Y at each point.5. Decision.
- Can you explain the Chebyshev's Theory?A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. What is the confound?Taxi Brand A Brand B1 41,200 42,7002 31,100 31,2003 43,600 44,6004 42,600 40,9005 41,400 41,1006 35,600 40,2007 47,000 48,2008 40,200 41,400
- Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing interocular lenses used in the human eye following cataract surgery. Three hundred lenses were tumble polished using the first polishing solution, and ofthis number, 253 had no polishing-induced defects. Another 300 lenses were tumble-polishedusing the second polishing solution, and 196 lenses were satisfactory upon completion.(a) Is there any reason to believe that the two polishing solutions differ? Use α = 0.01In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 73% of the valves meet the specification, 21% are reground, and 6% are scrapped. Furthermore, assume that of those valves that are reground, 46% meet the specification, and 54% are scrapped. Given that a valve meets the specification, what is the probability that it was ground only once?
- 2. Are the strengths of Alloy A more consistent than Alloy B?In a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 20% of those now using public transportation will commute via automobile and 80% will continue to use public transportation. (a) Construct the transition matrix for the Markov chain that describes the change in the mode of transportation used by these commuters. P A T = P A (b) Find the initial distribution vector for this Markov chain. X0 = (c) What percentage of the commuters are expected to use public transportation 6 months…a company manufactures a total of 8000 motorcycles a month in three plants A, B and C Of the 8000 motorcycles , plant A manufactures 4000, and plant B manufacturers 3000. At plant A, 85 out of 100 motorcycles are of standard quality or better. At plant B, 65 out of 100 motorcycles are of standard quality or better. At plant B, 65 out of 100 motorcycles are of standard quality or better and at plant C, 60 out of 100 motorcycles are of standard quality or better.The quality controller randomly selects a motorcycle: a) Caculate the probability that its qualtiy is sub-standard, b) If the motorcycle is of sub-standard quality calculate the probability that it has come from plant B.