Find a parametric representation for the part of the sphere x² + y2 + z² = 100 that lies above the cone defined below. 2= x² + y² X = U y = v

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A: Please see the below picture for detailed solution.

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A: Given query is to find indicated derivative.

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A: Given query is to find integral.

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A: A particle is moving with acceleration a(t) = 24t + 8, its position at time t = 0 is s(0) = 16, and…

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Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. JA.. T a…

A: To determine from the graph whether the function has any absolute extreme values on a, b.

Q: Consider (A) What are the equilibrium solutions? the initial value problem given by: d = x² (4 − y)…

A: A)  for equilibrium solutions put dydx=0∫xndx=xn+1n+1+c

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Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= f(x) = √−2x −…

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Q: Evaluate the definite integral. 2 8xex2 dx   0

A: Given query is to find the integral

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A: Define convergence for sequences and give convergence tests for families of sequences.

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Q: A function F(x) is called an antiderivative of f(x) if

A: Our Aim is to tell when does a function F(x) is called an antiderivative of f(x)=?

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A: let the length of square is   x meter given  dxdt=4 msec.there for area of square is  A=x×x=x2

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A: Let's solve given differential equation.

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Q: Which of the following represents the series? -13+(-7)+(-1)+5+11 Σ -19-6K k=0 5 Σ -19+6K k=1 4 Σ…

A: We can find the required answer using the given series in the below steps.

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Q: Evaluate (Hint: First use the substitution u = √x dx √x and then use integration by parts).

A: let u=xdxndx=nxn-1du=12xdxdx=2xdudx=2udu

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Q: Indefinite and Definite Integrals On a piece of paper or on a device with a touch screen, hand write…

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Q: Exercise: Example: Graph the curve r=2(1+cos 0)

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