dx x* +4

Q: H.W: Evaluate the integral 3 0 1 | (x?y – 2xy)dydx | |(x + y + 1)dxdy 1. 2. 0 -2 -1 -1 3 1 4 1 (2х —…

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Q: y" — Зу + 9у — 0

A: Given; y''-3y'+9y=0

Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 1. 15 dx (x-)2

A: Given problem:-

Q: sin(3x) dx 1+cos²(3x)

A: The given integral is Sin(3x)/[1+cos2(3x)].

Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 81 – x…

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Q: 1. Given ā - 31-9j and 5--6i+j compute each of the following. (a) 105 (b) 14ã +205 (c)

A: We have to find solutions

Q: А В C D E F This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x)…

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Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

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Q: H.W: Evaluate the integral 3 0 2π π 5. || (sinx + cosy)dxdy

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Q: dx 14-9.x2

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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: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: Numerical Integration (Simpson’s) 1. Using the Simpson Three-Eights method, at n = 6, what is the…

A: According to barteleby guidelines I can only answer the first question of the three given. Please…

Q: Find the sum of the first n terms of the following arithmetic sequence. a1 = 2, d = - 4; n = 6 O A.…

A: Given problem:- a1 = 2 ,d = -4 ,n=6  To find:-  Sum of n terms of given arithmetic sequence

Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

A: A detailed solution is given below.

Q: 6. lim (sinx)*

A: u =eln u, then:limx→0+  (sin x)x  =limx→0+  ex ln(sinx)=limx→0+  eln(sinx)1x=elimx→0+  ln sin(x)1x

Q: 5. lim X-0 e2x-1

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? +9 1 lim t+oo 3t2 + 4' 6t = (?, ?)

A: 1/infinity=0 is used

Q: Question 8 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+y…

A: Application of integration

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A: Harvest

Q: Find each of the two areas bounded by the

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Q: Describe the graph of the equation. r= (5 - 31) i - 10:j O tis a line in 2-space that goes through…

A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

Q: Find the volume of the ellipsoidal solid given by 4x² +4y² +z? = 16

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Q: Solve the differential equation Bernoulli Equations: (x² + y²)dx – xydy = 0

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Q: r3 5x-2 5.) . V5x+1 xp!

A: This is a problem of integration. Based on the general formula and concept we will answer the…

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

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

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

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Q: Find V · (V × F), if F(x, y, z) = e"i+ 3ze'j – 5e"k. V. (V × F) =

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Q: Solve the general solution of Differential equation y''-5y'+4y=3e^{6x}

A: differential equation

Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

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Q: Solve the area bounded by the curve y = 4x - x² and the lines x = -2 and y = 4.

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Q: Given the series: 2 k k=1 does this series converge or diverge? converges O diverges If the series…

A: The given series Diverges

Q: If f (x)= [a(«) =os* '(5) [1+ sin(t?)] dt find f 1 dt, where g(x) V1+t3 COS X

A: We need to find value of derivative.

Q: Solve the following given differential equation  using the method of indeterminate coefficients

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 6…

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Q: Solve the problem. 12-64 For what values of t is r(t) = ti+ j continuous? 12 + St O {te D: t#0 and…

A: We have to find out

Q: The integral TT tan x sec?x dx is an improper integral of type I that diverges is an improper…

A: To evaluate the following integral.∫π2π tan x sec2 x dx

Q: Find div F and curl F if F(z, y, z) = 9e#i-9 cosyj+3sin? z k. %3D div F = curl F=

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here , we have given an integral and we have to integrate over a rectangle whose vertices are given…

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

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Q: 11) In Problems 11 and 12, given f(x) and g(x ) are continuous everywhere with the values: 2 X =…

A: A detailed solution is given below.

Q: 524–121x4 lim x00 62xº+24x4+234x³+11x2+169 ||

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Q: The Divergence Test for infinite series (also called the "n-th term test fo divergence of a series")…

A: To solve the following problem

Q: Find the integral | 2(x* – x°)(x5 – 1)®dx а. b. In x2 dx 2х J x + 3)* С. 5.

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Q: dy x(2lnx+1) dx sin y + y cos y

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Q: 6. lim (sinx)*

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Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

A: To find the volume of the solid that results when the region enclosed by the given curves is…

Q: Solve d 4me-m2 dy dm

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Q: Evaluate each integral. dr 1. VI² – 1 2. [zcos I Cos az dz 7x +1 dr 2-- 2 3. 7 – I – z

A: