Consider the indefinite integral fz6 · Væ² + 1 dr: 5 7 . This can be transformed into a basic integral by letting U du and du dx Performing the substitution yields the integral

Q: +-1²-)-(4-44)dy

A: ∫yndy=yn+1n+1+c

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: 7. Determine whether the given sequence converges and if so, find the limit. 1-n³ 70-4n² a) an =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: b)y= 4 x-2 ,(6,1) c)f(x)=√√x+4,x=5

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Q: Find a Cartesian equation equivalent to the polar curve r sine = lnr + Incos.

A: Given: Now,                  r sinθ=ln r+ln cos θ⇒r sinθ=ln r cos θ⇒x=ln y⇒y=ex

Q: Suppose we want to inscribe a cylinder with a circular base into a sphere of radius 2.3. What is the…

A: Given :   a cylinder with a circular base into a sphere of radius 2.3

Q: 9. (6403 #4 p. 312) Let R denote the region bounded by the parabola y = x² + 2 and the line y = x +…

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Q: Evaluate the definite integral D = D = [²1+1/2u² = 2/5u³ du NOTE: Use exact values only. Do not…

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Q: A 25-year old woman burns 300 - 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: intake cal=140tburns cal =300-2t∫xndx=xn+1n+1+c

Q: The vector v has a magnitude 13 millimeters and a direction of 84 degrees. Find the magnitude of its…

A: The magnitude of a vector v→ is  v→ = 13 mm The angle is, θ = 84° To evaluate: the magnitude of the…

Q: Differentiate the following function: f(t) = √t - 1 Aft

A: Please see the below picture for detailed solution.

Q: Evaluate the surface integral ffx dS, where S is part of the surface of a paraboloid with…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 5 3…

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Q: Find the elasticity. 22) q = D(x) = 200 - x 1 A) E(X)= 200-X C) E(x)= x(200 - x) B) E(x)= D) E(X)= X…

A: Given: q=Dx=200-xTo find the elasticity.

Q: Evaluate the definite integral. 3   0 ex 5 + ex dx

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Q: Bruh i paid $8 for a wrong answer gtfo.

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Q: Suppose the radius of a bicycle wheel is 13 in. (measured to the outside of the tire). Find the…

A: Given query is to find the radian turned

Q: Plot the complex number 3-6i

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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: Let v = (x³ cos z, 4 - 3x²y cos z − 3yz² sin x, z³ sin x) be the velocity field of a fluid. Compute…

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Q: Find a non-constant function f(x)f(x) such that its average value over the interval [1,5][1,5] is…

A: The answer is given below:

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 5)…

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Q: Consider the indefinite integral (25 - 2)5 This can be transformed into a basic integral by lettin…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: Find the general solution: -4y" +13y"-36y'+36y=0

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Q: Evaluate: (c) √ √² + x+1 x² + 2x + 5 dx.

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Q: Deduce the derived function for y = cot -¹x.

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Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: 1. (6399 #7 p. 299) Find the area of the two-part region y = cos x which is also between the…

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Q: Find the most general antiderivative for the function Note: Don't enter the +C. It's included for…

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Q: Write an equation in slope intercept form of the line with the given parametric equation:  x=6T+8…

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Q: 4. /xln2xdx хрх

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Q: The area of a circle increases at a rate of 3 cm²/s. a. How fast is the radius changing when the…

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Q: Evaluate the indefinite integral in terms of f as a function of the given argument. (Use symbolic…

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Q: y = log₂ 3x³

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Q: Use the method of partial fractions to evaluate: 3x + 10 x² + 9x + 20 2 S dx

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Q: 402 #3 p. 303) A particle is moving on the x-axis with velocity given by v(t) = -3t² + 18t - 15. and…

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Q: A particle is moving with acceleration a(t) = 24t+ 8. its position at time t = 0 is s(0) velocity at…

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

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: For what values of p does the series below converge? Select the correct answer below: O p > 2 Op < 2…

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Q: tan(t)+cot(t) 2. Show that csc(2t) = 2

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Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for…

A: Solution: f(x)=(3sin x)ln(1+x) Maclaurin series of f(x) is given by…

Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x5, y =…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in r dr sin 0 = -1- 2rcos 8 de

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Q: 7. Make a substitution to express the integrand as a rational function (a quotient of polynomials)…

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Q: Evaluate the following integrals. 1. 2 xe e²x dx

A: according to bartleby guideline we do only first part of multiple  1)   formula for integration by…

Q: 2/3 f(x)=5-x; [1,1]

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Q: 2. Show that csc(2t) = tan(t)+cot(t) 2

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Q: For the following linear system, find the inverse of the coefficient matrix using Gaussian…

A: Please see the below picture for detailed solution.

Q: Salmon swim up to 2000 miles upstream to spawn. Scientists have found that the oxygen consumption…

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