Given:
To calculate the rate of change in y relative to x we need to calculate dy/dx.
Using quotient rule:
Putting x = 2 (given):
So, the rate of change in y relative to x when x = 2 is 14.
(20) Given y = 4°-5x+7, compute the rate of change in y relative to a when...
Find the average rate of change of the function between the given values of x. y = 1 + 5x + 0.5x2 between x = 4 and x = 6
a) Given the following equations: 5x + y = 16 2x + y = 7 Set up the equations in matrix algebra form. Solve for x and y by premultiplying both sides of the equation by the inverse of the square matrix, (using the rules for computing the inverse of a 2 x 2 matrix given in class). b) Given the following equations: 5x + 2y = 9 10x + 4y = 18 Attempt to solve...
2.2/ 14 Find the average rate of change of the function f(x)=f(x)= 1x2−5x−41x2-5x-4, from x=0 to x=4. Note, the directions are equivalent to "Find the average rate of change over the interval [0,4]". Average rate of change =
Given that x and y are functions of time, find the indicated rate of change. Find * when x = 4, y = 2, and 0% = - 4, given that xy (Round to one decimal place as needed.)
16. Given y = 5*, determine the instantaneous rate of change at x = 4 to the nearest 2 Decimal Places number.
Find the derivative of the function y= 4 In 3x 2 + 5x 4(2 + 5x -5 In (3x)) y': x(2 + 5x)2
Solve the given initial value problem for y = f(x). dy = 5x - 3 where y = -3 when x = -7. dx y
find the average rate of change for the following function. f(x)=2x^3-5x^2+7 between x=-2 and x=1. The average rate of change for f(x) over the interval -2 to 1 is ___. (Type an integer or a simplified fraction.)
Compute the given derivative: 6. (5x-74 7. Find the limit: lim ho h+ 22 h - -8. Given: f(x) = x-3x+5: Find the maximum and minimum at the critical values
QUESTION 9 Given E(X)=2 and Var(X)=4, let Y =5X-3. Find E(Y) Var(Y)