(1 point) Given the function f(3) = 3x2 + 2x - 3 find the following (a)...
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find the vector which describes the direction in which f is increasing most rapidly at (-4, 1) (1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find...
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.
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.)
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
Find the average rate of change for the following function. f(x) = 4x3 - 2x + 7 between x= -1 and x = 2 . The average rate of change for f(x) over the interval - 1 to 2 is (Type an integer or a simplified fraction.)
(1 point) Consider the function f(x) = 7x – 6 and find the following: a) The average rate of change between the points (-1, f(-1)) and (3, f(3)). o b) The average rate of change between the points (a, f(a)) and (b, f(b)). c) The average rate of change between the points (x, f(x)) and (x + h, f(x + h)).
At the indicated point for the function, find the following. (Round your answers to the nearest whole number.) y = (x3 + 2x)3 at x = 2 (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value.
Question 13 (1 point) How many critical numbers does the function f(x) = 2x - 3x2 + 4 have? 3 2 0 Question 14 (1 point) The vertical asymptotes of X are f(x) = O x=2 and x = 1 Oy= 0 and x = 2 x = 2 and x = -2 x= 0 and x = 2
Use the given definition to find f(A): If R(x) = 40 + 2x + 3x2 + ... + ant" is a polynomial function, then for a square matrix A, RA) = aol + A +1242 + + F(x) = 4 - 9x + x? --13] VA) 11
Summer-HW1: Problem 18 Previous Problem List Next (1 point) Let f(x) = 2x + 3x2.Ith #0, then the difference quotient can be simplified as f(x +h)-f(x) = Ah + Bx + C. h where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A= 1.B = and C= Use the simplified expression to find f'(x) = lim f(x + h) - f(x) -0 h Finally, find each...