16. Given y = 5*, determine the instantaneous rate of change at x = 4 to...
What is the instantaneous rate of change of z = f(x,y)=x² + xy(with respect to horizontal distance) at the point (2,1) if one is heading directly toward (4,-2)? -8 -3 4 12 b) c) d) e) none of these 113 113 V13 113 a) o What is the average rate of change of z = f(x, y) = x² + xy(with respect to horizontal distance) as one travels from (2,1) to (4,-2)? 2 5 12 c) d) e) none of...
9. What is the instantaneous rate of change of 2 = f(x,y) = x + xy (with respect to horizontal distance) at the point (2,1) if one is heading directly toward (4,-2) ? e) none of these V13 12 -8 V13 13
15. Find the instantaneous rate of change of f(x) = 4x - 2 at x = 5 16. Find the slone of the tangent lino to 2
20 marks) 1. Estimate the instantaneous rate of change of f(x) - x at x = -3. X+5 2. Given f(x) = (x + 5)(x + 2) and g(x) - -x? - 10x - 10, determine when g(x) <f(x). wwrrr 4. Solve the following inequalities using an algebraic method. vvv X X+4 X+4 < x
Suppose we are told that the instantaneous rate of change for a given function y = f(x), at x = 2.1, is –8.5. Further, we know that f(1.9) = -1.1. Which of the following values for f(2.3) is most consistent with this information? a) f(2.3) = -5 ob) f(2.3) = -6.2 f(2.3) = -4.5 d) f(2.3) = -13 For f(x) = ln'(x), pick the choice that is closest to f'(0.37). 4.89 ob) 8.02 c) 21.9 d) -6.49 If, for V...
(5 points) For the function y = 5x2: (a) Find the average rate of change of y with respect to x over the interval [5,7). (b) Find the instantaneous rate of change of y with respect to x at the value x = 5. Average Rate of Change: | Instantaneous Rate of Change at x = 5: (5 points) Let f(x) = 3x + 3x + 2 Use the limit definition of the derivative to calculate the derivative off: f'(x)...
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.)
To find the instantaneous rate of change at x=3 Using the definition f(x +Ax) - f(x) Slope T - lim Ar-0 To find the instantaneous rate of change at x 3
Question 16 Find the average rate of change for the given function over the indicated values of a. If necessary, round your final answer to two decimal places. y = 11x + 8, where a goes from -5 to -1.
Find instantaneous rate of change for t(x)=3sinx +3, x=a Find Average rate of change for t(x)=3sinx +3, [a,b] for any value of a and b