www 1D syppose that a sequence CanZ is definel by the envations az =2 cand anti = following is true about the series 3. 5n+1 -which of the 2. AThe seqvence of partial sums of o an is increasing iB) The terms of the Ser)es, are decreasing an The series an converges to an converges to q E) the series & an Converges Conditionally

Q: Find the area of the inner loop of the curve r= 1-2cos θ

A: For the inner loop of the curve 1-2cos θ=0⇒2cos θ=1⇒cos θ=12⇒θ=cos-112⇒θ=π3,5π3

Q: pls help me out thanks integral

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Q: Evaluate the double integral. 5x (4 + y)¯² dA; R R is the region in the first quadrant enclosed by y…

A:

Q: 1. The sum of the digits of a two digit number is 15. One-third of the number diminished by 12 is…

A: A detailed solution is given below.

Q: Find the area bounded by the curve r= 2+cos θ

A: Given problem:- Find the area bounded by the curve r= 2+cos θ

Q: =/2 4. cos z dr Jo da 5. I+1 I +IA

A: We have to evaluate the indefinite integral

Q: L. dr 16. (I + 2)² 1 dz 17. x(x+2) 18. / arctan Vr dr

A:

Q: Use a triple integral to find the volume of the region bounded by z = 7x + 8y, z = 9, and the planes…

A: Let's find.

Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

Q: Evaluate / (x- 16)dA where Ris the region in the first quadrant enclosed between y = xand y = x².…

A: ∬Rx-16dA where R is the region in the first quadrant enclosed between y=x and y=x3

Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Sum of two numbers =  25 Difference of two numbers = 7

Q: I. Evaluate the following Definite Integral. 1.) Lº 6x³+4x²-8x 2.) x²(2x³ + 1) dx dx 2x 3.) sin…

A: Given

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: 1 +1 dz 7. Ji Vz -1

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Q: Let f(x) = 2(x − 1)^2 (2x + 1) be a function. Find all critical numbers of the function and…

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Q: Question 20 Evaluate the integral. TT/4 (8 cos ti +9 sin tj) dt -TT/4 O 9N2 i O &2 i+92 j O &V i

A: Topic = Integration

Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: 2. lim

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Q: Solve the differential equation Bernoulli Equations: dy + бу — Зху3 dx 4 3xys

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Q: Inx F (x) = So It dt %3D

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Q: 28) In Problems 28 and 29, given the IMPORTANT FORMULA x(a+1)+ C (if a2 -1) and x1 dx = In x + C.…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

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Q: Evaluate the iterated integral Jxvcyddz. 00 Do not round. Give the answer in the form of the common…

A: We have to find value of given triple Integral.

Q: 11.) F sin (x)cos²(x)dx 2

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: Solve the differential equation Integrating Factor by Inspection: (xy – 2y?)dx – (x² – 3xy)dy = 0

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Q: n² < 2" for n = 4, 5, 6, ... (Hint: 2n + 1 < 2" for n= 3,4,5, ...)

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: 5 1. If g(2) = 59 and , g'(x)dx = 25, what is g(5)?

A: The detailed solution is given below Thank you

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 ||r(t)||³ r(t) = 3 cos(2t)i+ 3 sin(2t)j + tk…

A: The given formula is: κt=r't×r''tr't3 And rt=3cos2ti+3sin2tj+tk   As we know that; The Chain rule;…

Q: Solve the following differential equations of e • dx+2(xe" – y)dy = 0;

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. -dx…

A: using method of substitution

Q: I. Evaluate the following Definite 1.) Sº 6x³+4x²-8x 1.) L,º 2x 3) (3 sin3(x)dr

A: According to rules.. I  need to solve 1st question

Q: Question 18 Find the length of the curve with the given vector equation. r(t) = (6 + 2t 3) i + (2t…

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Q: Question 14 Find the volume of the indicated region by an iterated integration. The region that lies…

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Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: Evaluate the integral (12x + 12y)dx + (9x - y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

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Q: Find curl (6z i + 7x j+ 9y k). curl(6z i + 7x j + 9y k) = ( i )i + ( i )j + ( )k

A: Explanation of the answer is as follows

Q: 2.) Sž sin"(x)dx

A: sin2x +cos2x =1 dcos xdx=-sin x ∫un du = un+1n+1+C

Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

Q: (2y²+ x²+3 0. प्रमत्ण ै

A: This is a problem of double integration. Based on the general formula we will evaluate the integral.

Q: Evaluate the sum using the given information. X1 = - 3, X2 = - 1, and x3 = 2 Xj - 5 Σ 2x; + 4 3 j= 1…

A: Solution is given below:

Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabo arc y = x² from (0,0) to (1, 1).…

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Q: Describe the graph of the equation. r = - 2i + tj + (t² – 1)k O Itis a parabola in the x = 2 plane,…

A: Here we  have to identify the vector.

Q: Find div F and curl F if F(r, y, z) = 2e""i – 9 cos yj+ 4 sin? z k. div F= curl F

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Q: sin e = If and 0 in the first quadrant, find Cos 20

A: A detailed solution is given below.

Q: Find the indefinite integral. 17 dx +C

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Q: Q4: Find the corresponding Spherical polar coordinates of the Cartesian coordinates (6,2,5).

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Q: Solve the following differential equations of dy 1 -·y = xy'; dx

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