Determine whether the function is continuous over the interval (-6,6)? Is the function continuous over the interval (-6,6)? O O No Yes C Ay 2-

Q: Find the interval where the function, -x? f(x) : * + is decreasing? O a. None O b. (0,1) c. (-00, 0)…

A: Given that: f(x)=-x27+45

Q: Consider the function f(x) = 2x³ - 3x on the interval [-5, 5]. Find function on this interval. By…

A: Given function fx=2x3-3x on the interval [-5,5] The average or the mean slope is given by mean slope…

Q: Sketch the given function and find its domain and range 1 z = x² + y2

A: Consider a real valued function z=f(x,y) Then the domain of z = {(x,y): f(x,y) exists} and Range of…

Q: Differenti ate each function ) y= V+ In (+*)

A: This question is based on chain rule differentiation.

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 14) Determine the equation of the piecewise function shown on the right. V X -1 Ñ N

A: We have to determine the equation of the piecewise function from given graph.

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: Find the interval where the function, 3 f(x) = * - 4x – 2x? is increasing? O a. (-2,-1) O b. (-∞,…

A:

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: determine the intervals on which the function is concave up or down and find the points of…

A: determine the intervals on which the function is concave up or down and find the points of…

Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. y…

A:

Q: Find the value of y when x = 9. given that the function is y = 3sin (x +") – 5. - 5. 4 3

A:

Q: of For the function f(x.y) = In (x + 6y), find- of and dy

A: It is partial derivative so when we differentiate with respect to one variable consider other…

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy - 2y 2. 3x²y + 2x -…

A:

Q: 2. Which of the following is NOT a root of the function f(x)= (x² – 36)(x + 1)(x – 1)? %3D -6 B -1 E…

A: