Use function composition to determine if f (x) ar (a) Yes, they are inverse functions. (b) No, they are not inverse functions.

Q: Find f. f. f 2 f(x,y,z) = 3x - √y² +2₂² f = 0 (Type an exact answer, using radicals as needed.)

A: f(x,y,z)=3x-y2+2z2

Q: b) Calculate the following definite integral: [*(√x - 3) dx

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Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

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Q: domain

A: Please refer to the image below

Q: Sy < 1/3 x 1²x + 3 X y ≥ 2x 12 z -

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Q: 5. Cleaning pumps remove waste from a dump site at the rate modeled by the function R, given by 2πt…

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: given goaph of f'(x)

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: Find the set of all solutions of each of the following differential equations.  y" =32.

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Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers…

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Q: Find a parameterization for the curve shown in the figure below. |--1 = 110 -1 r(t) where 0 ≤t≤ 1…

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Q: 4.y = C₁e-2x + C₂e³x

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Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: 21) 4n² +4n+36=0

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Q: у 1 0 1 do Ч 6 X

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Q: Solve for a. 8. 9a 16 a² =

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Q: A rectangle has perimeter of 64cm. Write an equation which relates the length of the rectangle as a…

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Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 3) Prove that : tan z = 올n(부를) In

A: To prove the given identity.

Q: 6a + 24 3a-24 2 으 - a -16 a ²-2a-48

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Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x,   y =…

A: Given :

Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

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Q: Write a parameterization for the curve in the xy-plane that is a vertical line through the point…

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Q: Graph the solution of the system of inequaliti [x-y > 0 1 + y ≤ 2x

A: We can plot the graph as below.

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: PV n=KI Solve for x using the system of equations. 6. 7y = 5x and 35 + 4x = 3y 9 + 3x = 2y and 5yx =…

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Q: a. Graph f(x) = 9-x², x*-3 X = -3. 5, b. Find lim f(x) and X--3- c. Does lim f(x) exist? If so, what…

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Q: 1. Solve the following initial value problems: (a) y' - 12 = 0, y(0) = 4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

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Q: (5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a…

A: Given fx=1-x2 width of the slice is h

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

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Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

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Q: When you use credit card to purchase an item, you are actually making a loan. A constant percent…

A: Given data:- Ghel buy a television with the help of a credit card, the cost of television is,…

Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

A: We need to find the limit of the given function as x approaches the value -4π. For all x≥ -15 the…

Q: Find the differential equation for the given family . y = C_{1} * e ^ (2x) + C_{2} * e ^ (4x)

A: The family of a curve is given by y = C1e2x+C2e4x                              ..........1 To…

Q: Find h(x) and g(x) such that f(x) = (hog)(x). f(x) = √8x+6 Suppose that g(x) = 8x + 6. h(x) =

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Q: Obtain general solution xcos2ydx+tanydy=0

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Q: Parameterize the line through P = (-4,-4) and Q = (0, 3) so that the points P and Q correspond to…

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Q: 6. Determine a value of k for which the line L₁: x=3+2s, y=5-s, z=7+11s, se R is parallel to the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

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Q: 3. ) Suppose Australia's aggregate income (Y) has two components: aggregate consumption (C) and…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Solve: 2 cos² x = x+sin x - 1 = 0, over the interval 0 < x < 2π

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

Q: 4 9. 54 = a¹

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Q: Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3…

A: Here is the required solution: