For the given functions f(x) = − 9x², g(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ ƒ)(x) = (4) (gog)(x) = = 2x+4, find the following:

Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5149 and 70 golf clubs per…

A:

Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

A:

Q: ... suming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: Here  is given that fixed cost is $300 total cost =$5100 per day Output 20 boards

Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

A:

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: If x is between 0 and 10 then the cost is $40.    That means F(x)= 40 if 0≤x≤10     If x is more…

Q: Find the indefinite integral by usi Integration by parts formula: 5

A: ∫ x5lnxdx

Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: Find if y = dy dx dy dx 5x+2 10x6 C

A:

Q: x² dx (x − 1) (x² + 4x + 5) Si

A:

Q: f(x) = log(x)+x g(x)=In(x-1)+7 X -10 (1.002.1.004) (8.047,8.953)

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Use a(t) = -9.8 meters per second per second as the acceleration due to gravity. (Neglect air…

A: We need to calculate the time taken by rock to hit the canyon floor.

Q: Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33…

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given problem:-

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

A:

Q: Let f(x) = 1 x² - 16 Where does f(x) go as approaches 4 from the left?

A:

Q: Fill in the blank to complete the trigonometric identity. so(-u)- sec = X

A: This question is based on Trigonometric identity.

Q: The integral 9 [² 1 x - 1 dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: Volume of the sphere , V=43πr3

Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base…

A: Given,       Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It…

Q: Write the following using sigma notation: The sum of the terms ()* for k = 2, 3, ... 10. Provide…

A:

Q: Which of the following functions is not continuous on (-∞0,00)? Py = |x-1| ° y = y = 1- O y = 1+²²…

A: Functions are given, we have to find the function that is not continuous on -∞,∞

Q: Evaluate the definite integral by the limit definition. L₁x³dx

A:

Q: Question 15 Given ƒ (2) - This function is discontinuous at the point A O z=0 x = -2 O=12 O == 2 <…

A:

Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

A:

Q: 1) Evaluate the integrals: (a) f sin³ (2x) cos (2x) dx (b) sin³ (2x) cos (2x) dx

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. O y y = y = y = 33…

A:

Q: 9. The equation of the graph of the shaded region below is most likely to be Im A. |z − 4 + i| ≥ 2√3…

A: The objective of the question is choose the correct option for the region.

Q: Find the total area of the shaded region. Ay 24- 22 20 18 16 14 12 10 8 Q C The total area of the…

A:

Q: ra a²-y² L". Sve²=v² a²-x²-y² . (x²z+y²z + z³) dzdxdy a²-x²-y²

A:

Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

A:

Q: (a) State a necessary condition for a vector field to be a gradient. (b) Determine if the vector…

A: (a)

Q: The result of the integral / is equal to 8 (x − 2)(x + 2) - -dx Select one: ○ In |x − 2] − In |x +…

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: We have to find the area of rectangle increasing

Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

A:

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

A:

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is: x=-3-t,…

A:

Q: Find and simplify each of the following for f(x) = 4x² -5x + 5. (A) f(x + h) (B) f(x+h)-f(x) (C)…

A:

Q: Compute dx in two ways and verify that the answers agree.

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: If u = (0, 2, 3) and v = (1, 3, -1), find the projection of u onto v. 이름다 a) Obl 이유ㅎ ○ c) (1, 1, -1)…

A: This question can be solved using the concept of vector projection of a vector on other vector.

Q: How did you found x and dx? I 'm lost in that part

A:

Q: Let f(x, y) = 2x² + 2y² - 4y + 9. Then the level curve f(x, y) = 3 is a: Circle with center (1, 0)…

A:

Q: 2. Find the limit algebraically by factoring the expression first. lim x-10

A:

Q: Both rectangular form and polar form are used to represent the same complex numbers. Explain, using…

A: I have to explain why we are using different coordinate system.

Q: Which of the following statements must be true? 1. If f is differentiable, then II. If f is…

A: Solution of given question is written in below steps.

Q: b) 2 1 dx x ln x

A:

Q: The domain of the function f(x, y) None of these This option D= {(x,y) = R² + +1} This option. D=…

A: We want to find the domain.

Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx