3-x Q1) Evaluate the integral * dy dx using polar coordinate

Q: X In Зх +1 y y' X

A: Given ; ln(x2/(3x+1))=y/x.

Q: 1. Evaluatef(3x + 2)dx A. 3x2+2x + C B. 2x + 2x +C c. 2+2x + C D. x² + 2x + C

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: | 3xV3x2 + 4 dx = -. 2 (3x2 + 4)V3x² + 4 + c 3 1. O -;(3x? + 4)V3x2+4 + c 2. O 1 (3x² + 4)v3x² + 4 +…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i+4 sin(t)j+ tk;…

A: Answer in the box are correct

Q: find dy/dx. y= (cosx-pix)^(4x)^5

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Q: Find the antiderivative of the functions. S 6x dx S(12x - 5)dx S 3dx S(2x2 + 3)dx 1.) 2.) 3.) 4.)…

A: 1. ∫6x dx2. ∫12x-5dx3. ∫3 dx

Q: eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally…

A: We have to find the following conditions according to the given information

Q: Which of the following is the general solution of the separable equation, dy/dx = 12x³y? A. y =…

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Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

A: This question can be solved using the concept of convergence and definite integrals.

Q: O E. The series converges for p> (Simplify your answer.)

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Q: Let k be a positive real number. Then f(x) = Vk2 -- x2 is continuous on the interval: . (-k, k) b.…

A: To determine the interval in which the function is continuous.

Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: For the repeated roots;the fractional decomposition can be writtenas:3x(x-3)2=A(x-3)+B(x-3)2A(x-3)+B…

Q: Write the quotient in standard form. 17 1 - i

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Q: 3 Figure 1: Graph of f 4. Each of the following is true EXCEPT: lim f(r) = 0 c. lim f(r) = +o∞ a.…

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Q: Please

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Q: Find f(100)(x) if f(r) = (x + 2)100. a. 0 c. 100! = 100 x 99 x 98 x 97 x ... x 2 x 1 b. 100 d.…

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Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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Q: I. Evaluate the following integrals. 1 . J <(9 – In² r}5/2 d.x x(9 – In² x)5/2'

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A: We have to determine the given series is converges or diverges according to the given information

Q: (-1)"x2" (2n)! COS X = for all x € R. n=0 1. Let f(x) = cos(Vx). Determine the power series…

A: I have solved all three questions.  Hope this will help. Please upvote ?

Q: Is the function continuous on the interval (0, T COS x O no O yes O cannot be determined

A: Given problem:- Is the function ex/cosx continuous on the interval [0, π] ?

Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: eries > 22n (2x – 1)". In? +1 n=1 adius and interval of convergence of the power series. argest…

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Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is= sec ede…

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Q: Using exact differential equation, determine the solution of: dy y-- 2x = 3y2 – 2 when y = 1 and x =…

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Q: Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: Find the solution of the corresponding inhomogeneous system of equations: z+y+ 2z = 8 z+ 2y + 2z 2z…

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Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: A vertical plate is submerged in water and has the indicated shape (trapezoid). Express the force as…

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Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: 10. [ tan 0 de 12.f cos do 3

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Q: f(x) = x²+2x+1 g(x)= x+3 Set up the integral to find the area between the two curves. 1 -3 -2 -1

A: We have to find area bounded by the given curve.

Q: Given the series, is it convergent or divergent? (5-4(In n))" %3D2 3n (V5-In n)"

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Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

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Q: (-1)" Given: power series (x + 1)" 2n2 + 5 n=1 ii. Find the interval of convergence of the power…

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Q: Sllerch the graph of the 18r=4sine given polacequations

A: Given

Q: 5- 4- Find the volume of the solid created by rotating the following curve y = 3vx about the y-axis.…

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Q: 1/x ,2 xp -0-

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Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: z= x3 + xy4, x = uv4 + w3, az au az y=u- vew cuando u = 1, v= 1, w=-1 av az aw

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Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False

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Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: Determine whether the following series is conve rgent or divergent. (1.) 37 (use Integral Test.)…

A: Let's find.

Q: xy + y² dx dy Find the general solution of x2 dy Solve 2xy dx x² + y? given that y = 0 at x = 1

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Q: what series is this?  ln (5/4) + ln (6/5) + ln (7/6) + ln (8/7) and should I do to know if it's…

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Q: Problem solving: 1. What is Ax in this expression? 72 4 lim (3+ - 7200 i=1 4i C. : 41 D. A. (3 + )*…

A: As per guidelines, I can answer maximum one question and three subparts of a question. Since you…

Q: In(arctan(x)) dx 1 + x2 1

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