Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1 -dx x³+3x+5 given that A=5 and B=1

Q: Find the general solution of the given ODE ( 40² – v) dx + x dy 0.

A: The given DE is: (y2-y)dx+x dy=0⇒(y2-y)dx=-x…

Q: Find the sum of the series. En(n-1)ylyl < 1 +7 n=2

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

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Q: Find the limit. (If an answer does not exist, enter DNE.) (x²+2x-8) Ilm x-2 (x²-4)

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Q: Evaluate the following limit using L'Hospital's rule. limx→∞ x2+3x+12 / 6ln(x3

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Q: Find a formula for the general term an of the following sequence. 4 6 7 {/, -25, 125, 5⁹ 625 3125⁹…

A: Use general term concept

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Q: Problem 3.11 Calculate the differentiation of tan(x/y) = x + 6

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Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². 543-2 1…

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Q: Differentiate the function. (a) f(x) = x5/3 - 2/3 (b) g(x) = √x+x x2 (c) h(x) = = x 2-tan x

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Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

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Q: 18 0-17 ¹8 cos(x¹8+18) Question 6 Find the total differential for the function w = Odw - 262³ y sin…

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Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is equal to (1,…

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Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

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Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

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Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

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Q: Find critical values of the function. If they exist label as a max/min. Only use f' and keep answer…

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Q: Use integration by substitution or integration by parts as appropriate to evaluate S given that A-4…

A: Given: A = 4 and B = 3.      ∫0π24xsin3xdx=4·∫0π2xsin3xdx=413-xcos3x-3·∫…

Q: 6. Using the method of variation of parameters, what is the form of a particular solution of (D³…

A: The given DE is: (D3-4D)y=x-3e2x Suppose it has y1, y2, y3 are solutions to the associated…

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁120x +90y + 120z =…

A: Condition of Two planes parallel:- Let plane1:- A1x+B1y+C1Z+D1=0Let Plane2:- A2x+B2y+C2Z+D2=0 For…

Q: Use the Comparison Test to determine whether the series converges. Σ k = 1 1 5k5 +6

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Q: 16) .    Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =     PLEASE SHOW…

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Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. 2 9 sec²0…

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Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

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Q: If sin a = 0.857 and cos 3 = 0.591 with both angles' terminal rays in Quadrant-I, find the…

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Q: Find an equation for the line perpendicular to 2x + 8y = 32 and goes through the point (-7, - 2).…

A: Let's find equation of line.

Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: In 2010, the population of the United States was approximately 310 million with a 0.97% annual…

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the…

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Q: Consider the function. 8(x) = x + 1| - | x − 1| Estimate the following by evaluating fat x-values…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A: The objective is to find the indefinite integral.

Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

A: A radioactive isotopte has a half life of 1 min. The amount of meterial, At, at t=0 to 10 kg.To…

Q: Rewrite the equation with the variables separated. dy dx + √y = e* √√y dy √y-1 dy dy = ex dx = (ex -…

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Q: Prove that: tan-¹ z = In( 2 Note: tanz = And sin z = COS Z = ‚i+z. sin z COS Z eiz-e-iz 2i eiz te-iz…

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Q: (a) lim f(x) = x418 (b) L6 Given the graph of f (x) above, find the following limits. lim f(x) = 4 x…

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Q: Find the partial derivative for the function f(x,y)=√x+y3 f(xx,y)= f(x,y) = √8x + y² 33x √8x+y³ (y)=…

A: The given function is;  f(x,y)=sqrt(8x+y3).

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t): = 7 cos(t)i…

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