Find (fog)(x), and write the domain of (fog)(x) in interval notation. 3 a) (5 points) f(x): 8(x) = /2- x. x2 – 16' b) (5 points) f(x) = 9. %3D x-1'8(x) = x2 – 16

Q: 8. What is the minimum value of the function defined by y = cosx + 4? В. З A. 2 C. 4 D. 5

A: Given- y=cosx+4 To find- The minimum value of the expression.

Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

A:

Q: Find the absolute maximum and absolute minimum of f(x) = +-35I over tl Time left 59:05:00 %3D…

A: Solution is given below:

Q: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 4 – 3 x, and the line…

A: Given: f(x)=4-13x If the given line is y=mx+c with slope m then the slope of a line perpendicular to…

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: -3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

A:

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

A:

Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

A:

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

A:

Q: - Find all k so that the graph of y = Er2 kx - + 9 is tangent to the x-axis. 4

A: We have to find all values of k such that the graph of this function will have tangent as x axis.…

Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x&lt;y and x2+y2≤4

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

A:

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

A:

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

A:

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: Find the absolute maximum of the function f(x) = x-x-x On the interval - 10 sxS2 (a) 14 (b) 13 (e)…

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

A:

Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular…

A: We have to find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line…

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

A:

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: 3) What is the horizontal and vertical asymptote line? a) x =y b) x = 0, y = 2 c) x = -1, y = 2 d) x…

A: From the given function, we have to find its vertical and horizontal asymptote

Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

A:

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

A:

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

A:

Q: The range of the function y= 16-x2 is the interval [0, 0)

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 2…

A:

Q: interval

A: We have to find the increasing interval according to the given function

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,