I need the integration solution in the easiest way, a step-by-step solution and a clear line, please Ch= ch 뉴 FIN cosx te zjxh

Q: n=1 n! n - (x − 3)" 2n

A: The series is given by ∑n=1∞n!2nx-3n To determine:  The radius of convergence. The interval of…

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: How many different 9-digit phone numbers do not contain the digit 9? Assume that any digit in the…

A: Given data÷ How many different 9-digit phone numbers do not contain the digit 9. Assume that any…

Q: Question Find the average value of f(x) over the interval [0, 2]. Submit an exact answer using…

A:

Q: 3. Express the integral I = f(x, yz) dV as an iterated integral in three different ways, where E E…

A: Solution is given below:

Q: For each differential equation, indicate the order as a number. d'y dt4 Order is: d²y dt² Order is:…

A: Yo find the order of differential equations.

Q: the answer

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Q: Question Find the change in volume dV if a circular cylinder with radius r (Round your answer to the…

A: Volume of a circular cylinder is V=πr2h

Q: Evaluate the definite integral and choose the correct answer. dx 1+5x 0 1 O -In 11+ 5xl + C 5 1 1+5r…

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Q: Determine whether the vector field F(x, y) = 5y² (yi+2xj) is conservative. F is not conservative F…

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Q: Let g be defined by the equation g(x) = sin 2 dt 1²-1 Show that g'(x): = sec z.

A: Given:       gx=∫sinx0 dtt2-1       Factor -1 from the denominator:       =-∫sinx011-t2dt       The…

Q: If y = f(x) + g(x), then y' = f'(x) g(x) + g'(x)f(x) True False

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let Ln denote the left endpoint sum using n subintervals and let Rn denote the corresponding right…

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Q: (-9) Σ 5 0 = 1

A: The answer is given below:   Ration Test

Q: . (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

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Q: Find the derivative of the function g(x) g'(x) = ex + 3xe (2+3x)² = x| X et 2 + 3x

A:

Q: 1 1+exte -X dx

A: Yo evaluate the integral.

Q: dy Find for dx X 0 12+ 13t² dt.

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Q: Find the orthogonal trajectories of the family of curves c. y²=4Cx

A: Find the orthogonal trajectories of the family of curves c. y²=4Cx

Q: y= e2x+1 e-1

A:

Q: Find the G.S. about xo = 0 for the following DE's 2. (1 + x²)y" + 10xy' + 20y = 0

A: answer is in next step. please give a like !!

Q: Question Find the average value of f(x) Submit an exact answer using fractions and/or roots if…

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Q: Evaluate the following integral using integration by parts. 4x sin 4x sin x cos x dx Let u=4x sin x.…

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm /…

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Q: Evaluate 4 R³ TR³ O TR³ O TR² 2π 0 R p² sin odpdøde.

A:

Q: Use integration to find the area of the rose curve r = cos 20.

A: Area bounded by the polar curve Area=12∫ab r2 dθ

Q: Let S = {-2, -1, 0, 1, 1, √2, 2, 4}. Determine which elements of S satisfy the inequality. (Enter…

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Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

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Q: B) Use a known series to express ƒ(x) = e¯ as a Taylor series.

A: We need to use a known series to write the given function as a Taylor series.

Q: x dy-y dx = x3 dx y" Answer: 4x + x4y + x¹y = Cy.

A:

Q: Which of the following equations is/are exact? □ 3x²y² dx + (2x³y + 4y³) dy = 0 (3x²y-x²) dx + e³ dy…

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Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: Find the exact sum of the following series 8 (0.25)" (0.25)³ (-1)-1. n n=3 (0.25)4 4 + (0.25)5

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Q: Use the given function and the given interval to complete parts a and b. f(x) = 2x³ - 36x² + 192x on…

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Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Factor f(x) into linear factors. Don’t forget to include the leading…

A: Please see the below picture for detailed solution.

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (14, 3,…

A: Topic- Equation of line through given points

Q: A solid bounded by z = x² + y² and z=4. Find the volume of the solid.

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Q: 11) Suppose that f is a solution of the differential equation y' + = 1 with f(1) = 1. Then f(2)= 3.…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

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Q: 3. y= e3x e3x + 1

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Q: Question Find the linear approximation L(x) of the function f(x) = -5x³ - 5x²-3x - 1 at a = -4.…

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Q: Find the area, A, between the curves y = In x and y = In 2x from x = 1 to x = 2. The area is A =…

A: The region is bounded by the curves y=ln x and y=ln2x from x=1 to x=2

Q: Consider the following differential equation: y" + y = sinx - 2e and the following boundary…

A: The given differential equation is y''+y=sin x-2ex

Q: Calculus

A: Please refer to the image below

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Using Trigonometric Substitution a substitution of x = 6 sin(theta) was used to solve an integral.…

A: trignometric substitution

Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

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Q: A function is given by f(X)=x^2+X+5 find f'(2)

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Q: ate the following integral using integration by parts. 4x sin x cos x dx u=4x sin x. Use the…

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Q: Use Newton's method to approximate a root of the equation 5x7 + 4x + 4 = 0 as follows. Let x1 = 1 be…

A: We have to find out as approximation