z varies jointly as x and y. (z = 128 when x = 4 andy= 8.) z = 4xy 4x z = y xy 4 4y 4 xy

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A: Given: hx,y=7x+4y5xy-8   We know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level o...

A: Given:         The atmospheric pressure                       P'=-kP Measurements with barometer sho...

Q: t0x² -4x²+8d 4 2- 多 et dx

A: 2. ∫10x4-9x2+8x2dx3. ∫ex2+xxdx4. ∫dxx

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Q: . Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of rad...

A: Given problem Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 1...

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Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: 3. f(x)=(3x' +2):

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Q: Find the radius of convergence and the interval of convergence. k + 7 k=0 Radius of convergence: Int...

A: This is a question of series calculation . Based on the general concept of the series we will find o...

Q: 24. Use Newton forward-difference formula and construct appropriate interpolating polynomial and app...

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Q: An+1 to determine if the sequence an is strictly increasing or strictly decreasing. Usethe ratio 6n ...

A: This is a series problem

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Find the 42nd derivative of the function y=sin(x).

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Q: Verify the inverse function theorem of y = Vx + 2

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Q: Find the indefinite integral using the substitution x = 8 sin(@). (Use C for the constant of integra...

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Q: Consider a round water glass of the following dimensions. 8 cm 10 cm 6 cm Use integration to compute...

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Q: Answer in complete solution in this Differential Equations: (16D7 – 32D6 – 40D5 + 72D4 + 37D3 – 40D...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 1. Prove that (1) (2) (3) + (2) (3) (4)+...+ n(n+1)(n+2) = n(n+1)(n+2)(n+3) %3D

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number ...

A: topic - exponential function

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost?

A: We use differentiation to find the quantity to minimize the cost.

Q: What is the area of the integral of f(x) = 13 – 3x within the interval [1, 3]? AY 14 12 10 8+ 4 2- 0...

A: Integrate f(x) over interval [1,3].

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

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Q: Set up, but do not evaluate, an integral for the length of r =os(y),0 <r<; using dy 1+ da (a) ds = d...

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answ...

A: gx=x2+4x23,  -7≤ x≤8

Q: Monte Carlo integration is used to estimate the integral 2 4 I = 5 dz dy dx by generating random poi...

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Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: topic - exponential function

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A: topic - differential equations

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Q: Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the ma...

A: Given query is to find the maximum profit possible.

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Q: You are flying in a small airplane at an altitude of 6161 feet. From that second, your horizontal ai...

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Q: Given x + 5, x 3 Find (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f (x) and lim f(x) X-3 X-3 X-4 ...

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Q: Find the mass of the surface lamina S of density p. S: = Va? – x² – y², p(x,y,z) = kz

A: Note: As per our company guideline we are supposed to answer the first question only. Kindly ask the...

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Q: differential equations solve by integrating factors found by inspection y(x^3-y)dx-x(x^3+y)dy=0

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Q: Solve the given initial-value problem. The DE is homogeneous. xy? dY = y3 - x³, y(1) = 3 dx Submit A...

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