Consider the function h(x) 2 x5 +3 Write h(x) as a composite function, f(g(x)), determine each of the following. 1. The formula for the outside function f(x)= 2. The formula for the inside function g(x)=

Q: g(x) = 2 x²_4 3x²+x-4

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Q: Let f(x) 07 O O 11 - S x² + 1 4x – 1 - if x ≤ 1, Determine the value of (ƒ o f)(1). if x > 1.

A: The answer is in step 2.

Q: 1. The income from Ming's robotics business for the next 10 years is given by the income stream f(t)…

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Q: 46. If y = xcos(x) then : d²y. ? dx² -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

A: Given, y=xcos(x)

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A: xy'-2y=x3cos4x

Q: A tank contains 70 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: What point on the line y = 3x + 10 is closest to the origin? The point on the line y = 3x + 10…

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Q: Evaluate the integral using integration by parts. [9x csc ²3x dx [9x csc ²3x dx = (Type an exact…

A: Integration

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Q: Prove the identity. cos (x-y) sinx-sin (x-y) cosx = siny Note that each Statement must be based on a…

A: The objective of the question is proving the identity.

Q: 1. Consider the DE d'y dx2 - 2 dy − 3y = −9x − 3, y(0) : (0) = ² – 1. - dr Verify that y =…

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Q: Solve the DE. (1 + y²) dx + (1+x²) dy = 0 O tan x + tan y = C e + ey = C O lnx + lny = In C arctan x…

A: Topic = Differential equation

Q: Water flows into an empty reservoir at a rate of 3000 + 20t gal/hour. What is the quantity of water…

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Q: Which equation represents a tangent function with a domain of all Real numbers such that x = π +…

A: We have to choose the correct option from the given options according to the given information

Q: 5 Given k (x) = 6x +x, answer the following: Part: 0 / 4 Part 1 of 4 (a) Find k(-x). *(-x) - y

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Q: Plot the solution using matlab a) Method of Undetermined Coefficients: The differential equation…

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Q: Let 2 sinx+7cos y = 6. dr

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Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) dA, where f(x, y) = −3x − 4xy – 9y²…

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Q: What would the revenue function be

A: As we see Demand function Dx=-0.095x+4.545

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→c* X→C |x + 4 X+4 f(x) = (x +…

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Q: 2 x dx + y(x - 1)dy = 0, @x=2, y =1

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Q: 1. Given a. b. ( C. f(x) = 10x5 4x + 5 and g(x) = 2x + 1. Find and simpify fog(x). ) Compute…

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Q: What is the slope of the line that passes through (1,-1) with y-intercept -2 2 -2 P

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Q: The length of one square is 70% larger than the length of another square. The perimeter of the…

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Q: (³ a sin 3a da.

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Q: 4 (b) Σ(-3)3k k=1

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: Find the curvature of the curve r(t) = (4 cos(2t), 4 sin(2t), 2t) at the point t = 0 Give your…

A: The given curve is  r(t)→=4cos(2t), 4sin(2t), 2t

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti + cos(t)j +…

A: Given; Limt-pi (ti+cos(t)j+sin(t)k).

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Q: Find 7' (t), given r(t) = (- 4√t, - 3 ln(3t), 3e-³). F' (t) =

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Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: ******** ********* *********** Verify that the function satisfies the three hypotheses of Rolle's…

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Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: Σ. (-1) 23 4 n = 0 = Π

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Q: 1. Given f(x)= = 10x 5 4x + 5 and g(x) = 2x + 1. a. (6 points) Find and simpify fo g(x). b. (3+3+3…

A: Given functions are fx=10x-54x+5, & gx=2x+1 We need to find following f∘gx f∘g0,g∘f0,f∘f0…

Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = 18t² — 36t.…

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Q: Convert the following numbers to the requested number systems. a) (753. 64)8= (?) 2 b) (103.0625)10…

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Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis. Use the trapezoidal rule with…

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Q: Let f(x, y) = x² + 2y² List the critical points: 24xy. The critical point at the origin is a saddle…

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = −20t³ + 60t.…

A: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = −20ť³ +…

Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: (b) General solution for this differential equation is

Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…

A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: Describe the domain and range of the function. f(x, y) = 9x² - y Domain: {(x, y): x ≥ 0, y ≥ 0} {(x,…

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Q: Set up but do not evaluate an integral for the volume of the solid obtained by rotating the region…

A: Topic = Volume

Q: Use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the…

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Q: Given: (x³ – 3x − 2) ÷ (x² + 2x + 1) = x − 2 Therefore: (x - 2) (x² + 2x + 1) = x³ - 3x - 2 True O…

A: Let P(x),Q(x),R(x) be polynomials such that, P(x)/Q(x)= R(x) Then doing cross multiplication we get,…

Q: 5 Thass [[1(², 3)dA = [² [² fff(x, 0 1 drdo

A: