Find the surface area formed when the curve f(x)=x^3 between x=1 & x=3 is rotated around the x-axis

Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

Q: Determine if (6x + y^2) dx + y(2x - 3) dy = 0 is exact or not

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Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

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Q: From Rogawski ET 2e section 10.2, exercise 25. Use the formula for the sum of a geometric series to…

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Q: Which of the following is true for the series 3n? Σ 4n3 +9 n =0 Converges to 0 O Divergent O None…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: Use limits to determine all the linear asymptotes of 3x2 – 5 if a1. a² + 2x – 3'

A: Let's find.

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ n=7 3n2+2

A: Given that ∑n=7∞  2n+33n2+2using comperision test2n+33n2+2>2n3n2  for n≥7∑n=7∞…

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= <4,-1,7>            b =< 4,4,-7 >

Q: The one-to-one functions g and h are defined as follows. g (x) = 3x+13 h= {(-8, -3), (-3, 2), (3,…

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Q: -3x cos (5x)dx

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Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

Q: Eliminate* the arbitrary constants c1 and c2 from the relation y = cje-2* + cze³* у" -у — бу %3D 0 O…

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Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: Зx+2 xp- 1-25x2

A: Given

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given

Q: 4. Solve the initial value problem 8+ 3y = sine 0 > 0, y(n) = -5. %3! de

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Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: An environmental landscaping company wishes to run a pipeline from a pumping platform (R) located…

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Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: F the curve. -)i + sin(nt)j

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Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y?(2x² + y²) = c O 2y(2x² + y²) = c

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Q: The base of a three-dimensional figure is bound by the circle x² + y? = 16. Vertical cross sections…

A: Given  x2+y2=16y2=16-x2y=16-x2

Q: Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean…

A: Use the formula for the average value and concept of mean value theoram.

Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: dx xV2ax – x2 ах

A: This is a problem of integration. Based on the general formula we will solve the question.

Q: 7. Point P(-5,k) is on the terminal arm of angle 9 in standard position. If csc9: 13 then: 12 12 a)…

A: This question can be solved using the concept of relation between rectangular and polar coordinates.

Q: Find the curl of the vector field F = (4x sin(y), 7y cos(x)). curl F - Dretieur

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Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: (c) Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy…

A: To determine whether the following function is continuous at the point 1, 1.fx, y=x2-xyx-y  if x,…

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: How many boundary conditions are required to obtain a unique solution for an 3rd order linear…

A: To solve a third order differential equation, having order  3 It requires three- point boundary…

Q: The geometric series 4 5-2+ 5 16 + 25 8 32 125 625 is convergent. true false

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Q: Find the arc length L of the graph of r(t). r(t) = 6 cos(t)i + 6 sin(t)j + tk, 0<t< 2n 0 <t< 2n L =

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Q: THe rate of U.S. per capita sales of bottled water for the period 1993–2003 could be approximated by…

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Q: Convert the point with polar coordinates (4, to Cartesian coordinates. Enter exact values. The point…

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Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: p(x, y, z) 4 – x² – y²

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Q: Find the Taylor series centered at r 3 for the given function. f(r) = In(x + 2) a) Find the…

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Q: A particle is moving along a straight line such that the distance traveled (in feet) afte t seconds…

A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

Q: Solve the initial value problem 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. x² = y – In[y + 1] +…

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Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) L-…

A: ddttn=n.tn-1

Q: Evaluate the indefinite integral. dx 2 – 7x

A: Explanation of the answer is as follows

Q: 5x(V1 + x-) dx

A: This question can be solved using the concept of integration by substitution.

Q: Find the derivative of the function using the definition of derivative.

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Q: Find the absolute maximum value on (0, 0) for f(x) = 5x– 4x In x. %3D Select the correct choice…

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Q: 6. For each of the following series determine if the series converges or diverges using the…

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Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: As you have asked for the solution of question 34 only, so I am solving only that. Thank you.   34.…