If b> 3 and average value of f(x)= 6x-x on the interval [0,6] is 6, then what is b equal to?

Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x? + 6x +…

A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

Q: The linearization of ex at x = 1 Estimate to five decimal places the magnitude of the error involved…

A:

Q: The integrating factor of the LDE y' = x - 2ycotx is

A:

Q: How can we minimize the error of an approximation in a linear approximation at the point (a. f (a))?…

A: Query- How can we minimise the error of an approximation in a linear approximation at the point…

Q: Find the average rate of change for function over the given interval.

A: Given  y=3x-2.

Q: Find the equation of the normal line (NL) to the graph f(x)=x³ – 4x atx = 3 .

A: We need to find derivative.

Q: Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What…

A: Given Rx=6x3-αx2 To find the value of α when average value is $20 for x=10

Q: (1) Use the linear approximation of Va at x = 9 to estimate the value of v8.7

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find the average rate of change of f(x) with respect to x on the interval. f(x)= x^2 -5x+1; [-3,0]

A: f(x)=x2-5x+1;-3,0 We need to find the average rate change of f(x)

Q: i) Find the critical numbers of function f (x) = x/x+3 TV. ii) If 2x- y=k is the equation of a…

A:

Q: 4. Find the critical points of each function and use the Second Derivative Test to classify the…

A:

Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. 1 f(x) =…

A:

Q: The third iteration, when the positive x-intercept of y=f(x) is approximated via the Interval…

A: The root of a function can be calculated using a numerical method. The value of the function is…

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

A:

Q: Find the relative extrema using both the first and second derivative tests. f(r) = 2x³ – 9x² + 12x.…

A: Consider: fx=2x3-9x2+12x. Critical point is the point where the derivative of the function is either…

Q: Find the average rate of change of the function over the interval [-2, 1] f(x) = 2.x³ – 5.x +3

A: To determine the average rate of change of the below function over the interval [-2,1]. fx=2x3−5x+3

Q: Given the function f(x) = (x-2)2 + (y-3)2 (i) Find the critical points. (ii) Using the second…

A: The given function is: f(x,y)=(x-2)2+(y-3)2

Q: Find the relative extrema of f (x) = 7+ 144x – 9x? using both first %3D and second derivative tests.…

A:

Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal…

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: Find the average rate of change of the function over the given interval. y =V4x + 1; between x 2 and…

A: To find the average rate of change of function y=4x+1 between x=2 and x=12

Q: Find the average rate of change of f(x) = x2 + 3x + 1from 1 to 2. Use this result to find the…

A: Average rate of change of a function f(x) is calculated as the total change in the function divided…

Q: What formula will describe the average rate of change of f(x) = 3* over the interval [0, 3]? Don't…

A:

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

A: To find the critical points of y we find dy/dx. Then set dy/dx=0 and solve for x.

Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: To find: The minimum and maximum value of the function on the given interval by comparing values at…

Q: Determine the RMS Value of y=root x over the range of x=0 and x=1

A: We have to find the rms value of the given function over the given interval.     This problem can be…

Q: If f(x) is odd function, then the derivative of y=sinh (f (-x)) equals Select one: o y'=Xf'x) – f x)…

A: Differentiate wrt x

Q: ( 2x2 , xs1 Dose f(x) = continuous at x =1?why? %3D &+ 1 , x >1

A: Explanation of the solution is given below....

Q: given the function f(x) = (x+4)^2 + (y-2)^2 (i)find the critical points (ii)using the second…

A:

Q: Find all critical points for the function f(xy)=x* +y* – 16-x-y.

A:

Q: 4. Find and classify the critical points of the given function by using Second Derivatives Test. 1 1…

A:

Q: Find the marginal revenue function. R(x) = 7x – 0.05x² R'(x) =

A:

Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

A:

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

A: We find y' using the quotient rule

Q: Determine the equation of the tangent line to the graph of the function f(x)=x* – 4x atx = 3 . Also,…

A:

Q: Find the critical point of the function f(x, y) = 9x 3y- - In(\r+ y|). c = || Use the Second…

A: Let f(x,y) be any function of two independent variables x and y supposed to be continuous for all…

Q: Consider a risk process with X, ~~ y(2, 2) with loading factor 15%. Using the approximation eR* * 1+…

A: Solution

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a…

A:

Q: Q /Choose the appropriate derivative for this function y = (x+ 1)2* dy = 2* (x + 1)2" - In(x + 1) dx…

A: Explanation of the answer is as follows

Q: Find the average rate of change of the function over the given interval. y = V4x + 1; between x =0…

A:

Q: Locate the absolute extrema (maximum AND minimum): f(x) = 10x(2 - lnx) ,  on the interval [1,e^x]

A:

Q: What is the average rate of change of f(X)= X2-2 on the interval [-1,3]?

A:

Q: Find the marginal revenue function. R(x) = 3x-0.05x2 R'(x)=

A:

Q: The general anti-derivative of the function f (x) - In(x) is given by x In( x)+ C Inx)-x+ C x In(x)…

A: The integral (anti derivative) of fx=lnx can be evaluated by using integration by parts. The…

Q: If X has hazard rate function Ax(t), compute the hazard rate function of aX where a is a positive…

A: 8) We know that if F(x) is the cumulative distribution function of random variable X  Than…

Q: 2. If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y.

A:

Q: 1 f(x) = (x² + 3x)² at [2,3]

A:

Q: Use the Second Derivative Test to determine the relative extremum trema) and saddle point(s), if…

A: This is a problem related to maxima and minima of the function. By first derivative test we will…

Q: If a company's marginal revenue function is  MR(x) = xe−x/9,  find the revenue function. [Hint:…

A: Consider the given marginal function.

Q: Find the average rate of change of the function f(x) = x 5x - 1, over the interval [-1,3

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.