Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis. y=6x1/2 , y=0.5x, and x=6. Round off only on the final answer expressed in 3 decimal places.

Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: b. ) Finding an interest rate: Suppose you invest J$ 150,000 in a special 5 year savings account wit...

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A: topic - application of derivatives

Q: Find the soIltion to the following equations: %3D iv)6=多はら

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and par...

A: Given :∫1x2-6x+bdxTo find :  How could I calculate the b value using u-substitution and partial frac...

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x - 0.002x...

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Q: 25/quizzes/3828 Spot the mistake/s in the solution. Tick the box that applies. S sin x n (cos ) dx %...

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Q: Using a single integral, which method/s can be applied to determine the volume of solid generated by...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Solue the following d.e. 16 tang x

A: Let's find. 

Q: Find ??/?? using the appropriate Chain Rule w = ln y/x; x cos t; y = sin t

A: Use chain rule.

Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

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Q: C. Solve the initial value problem: 2xydx + (2y² – 3x²)dy; y(0) = –1.

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Q: A weight is hanging at rest from a spring. It is pulled down 6 cm. and released at time 0 second. As...

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 7/20 cos(10x) dx

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: First of all we will find the type of the limit, and after this we will determine if we can use the ...

Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² Select one: O True O False d/dx(xe2x) = 2xe2x...

A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f...

Q: D. Tell if the function is continuous at given interval. 31-35 2x+4 [-2,2]

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Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...

Q: 3x° - 5xe* + 2xcos(x) Evaluate: (A x3 - 5ex + 2sin(x) + C 3x4 B. - 5ex + 2sin(x) + C 4 C) None of th...

A: Given query is to eveluate the integral.

Q: n-1 9. Given the series - 8 n=1 Does this series converge or diverge? O converges O diverges If the ...

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Q: IV. Write the Laplace Transforms Given f(t) Laplace Transforms f(t) = t3 – 4t2 + 5

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Q: 10111111110 110101

A: Solution is 10011110110010110

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Q: Determine the vaILus of y Valu that sotisfy the ineauality x*+ x-125. Write youir answer in interval...

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Q: Show that the function z = e* sin y satisfies Laplace's equation a²z a?z = 0 дх? ду?

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Q: If f and g are continuous function of X, which of the following is true? )dx =D| (x) dx B dx3D 8(x) ...

A: Given :

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: A ceramic mug is removed from a pottery kiln once the mug reaches a temperature of 700 degrees Celsi...

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Q: Use the Integral Test to determine whether the infinite series is convergent. -n² 16ne n=4 Fill in t...

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Q: Sin x y = 2+Cos x

A: Given, y=sinx2+cosx We have to find the derivative of the above function.  

Q: 1. y+x+y=x at ( 6, 3)

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у) %3...

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0 For...

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Q: Compute the partial sums S2, S4, and S6 of 1 1 + • 6 1 1 + 8 · 10 + + 2. 6 · 8 (Use symbolic notatio...

A: The given series,    12.4+14.6+16.8+18.10+......

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

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Q: V1-x? 1 x2 + 1 1 X.

A: Follow the procedure given below.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. kn > 3sin k=1 ...

A:  If limk→∞uk is nonzero, then the series ∑k=1∞ukis divergent.

Q: Let the random variable X be the number of days that a certain patient needs to be in the hospital. ...

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Q: 1. Given the vector-valued for R(t) = (2 sin 2t – 1)î + 2 cos 2tj + 3tk. (a) Find the length of the ...

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and the...

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Q: From a point A the angle of elevation of a mountain is 13.7°, and from a point B, directly behind A,...

A: Given query is to find the height of the mountain.

Q: e the ratio test to determine whether the series converges or diverges. If the test is inconclusive,...

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Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5-3x at x = 1. What is y(2)?

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Q: Find the second derivative in its simplified form. y=(7x^3 + 3)^6

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Q: 00 Let S = an be an infinite series such that SN =5 6. N2 : %3D n=1 10 16 (a) What are the values of...

A: Given, SN=5-6N2

Q: Evaluate the integral: 3 49x2dx

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