For what value of x does the function g(x) = --x³ + 2x? convex? А. x> 1 В. x< 2 С. x<2 D. x 2 1

Q: Calculate the approximation for the given functionand interval:                    M4, f (x) =√x,…

A:

Q: Find the absolute extrema of the function f (x) = 30x – x² over the interval (-o, 00)

A:

Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…

A:

Q: Verify Rolle's theorem for f(x) = x* – 4x+8 over the interval [0, 2].

A:

Q: On what domain is the function f(x) = 3 + V5x – 20 continuous?

A:

Q: what is the largest vertical distance between the graphs of the functions y=x^1/2 and y=x^2 in the…

A: To find the largest vertical distance between the graphs in the interval given

Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

A:

Q: The management of Ditton Industries has determined that the daily marginal revenue function…

A:

Q: The function f(x,y) =26-2x²-y² is continuous at point (2, -3). .A True .B False

A: The objective is to determine whether the statement, " The function fx,y=26-2x2-y2 is continuous at…

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

A:

Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: ) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands ars.…

A: Given: The cost to produce x batches of widgets is Cx=x+14 The revenue is Rx=-x2+10x C(x) and R(x)…

Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: Determine the linearization of the function f ( X) = (√4X+ 1)  at x=6. Use that linearization to…

A:

Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) &lt; 0.

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

A:

Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: 57. Is the function given by Sx + 1, for x 4, g(x) = continuous at x = 4? Why or why not?

A: gx=12x+1,   for  x&lt;4-x+7,   for  x&gt;4 Now left hand limit at x=4 is, limx→4-fx=limx→4-12x+1…

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

A:

Q: What is the relative extrema for the function f(x,y) = -x^4 - y^4 ?

A: Given function is f(x,y)=-x4-y4 Find the relative extrema

Q: Find the absolute extrema of the function on the closed interval.                       y = 3 − ∣t −…

A:

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: Find a function f such that f'(x) = 2x³ and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A:

Q: Is the function f(x)= x+|x|-1 differentiable at x=0.

A: Consider the given function:

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: The function f(x,y)=/26-2x²-y² is continuous at point (2,-3). .A False .B True

A: A function is continuous at a point if after putting the point in the function yields a positive…

Q: Suppose the price of land in a city is given by the function P(x,y) = 227 – 10( x - - 15(y – 1)²…

A:

Q: a box with a square base and no top has a volume of 100cubic cm. If the material for the 4 sides…

A: Given that, the volume of the box is 100 cubic cm, the material cost for the 4 sides is 8 cents per…

Q: 56. Is the function given by Sx + 1, for x 4, G(x) = continuous at x = 4? Why or why not?

A: As we know that  Function will be continuous at x=a if limx→a-fx=limx→a+fx=fa

Q: Is the function given by f(x) = 5X+6, for x s5, 5x-14, for x>5, continuous at x=5? Why or why not?

A:

Q: A clothing company determines that its marginal​ cost, in dollars per​ dress, is given by the…

A: Ans: $ 2160 Find the function C(x), putting the value for cost of 220 units/dresses calculate the…

Q: Suppose that f(x,y,z)=x^2yz−xyz^3 is a function of three variables.

A:

Q: The management of Ditton Industries has determined that the daily marginal revenue function…

A: (a) Find the daily total revenue realized from the sale of 220 units of the toaster oven as…

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. 2x3 + x +…

A:

Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

A:

Q: For what value of the constant c is the function f continuous on (-∞, 0)? if x 5 C = Need Help?…

A:

Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: Over which interval is the function f (x) = x3 -4x2 + 5x concave upward?

A:

Q: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

A:

Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?

A: Use given function find the required result

Q: For what value of the constant c is the function f continuous on (-∞, 00) ? if x < 3 cx2 + 8x F(x) =…

A: To find: The value of c if function is continuous at -∞,∞. Given: The function is fx=cx2+8x   if…

Q: What is the largest interval in the function f(x) = x² - 2x + 1? A. (-∞, 1) B. (-∞, 0) C. (1, ∞)…

A: Function -  parabolic function    Option A is the correct option.

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…