(2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by letting и — and du =

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Q: given poim arctan(2) f(x, y) = arctan (4, -4) f(X, y) = x, ) = (4, -4) = (4,-4) =

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Q: 2) Evaluate the integral S inx dr 2.

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Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

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A: To solve the differential equation by using method of undetermined coefficients.

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A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: Answer

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

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A: Given query is to find the equation of the tangent.

Q: #3 Evaluate F. dr. F(x, y) = 3xi + 8yj C: r(t) = ti + V4 - t²j, -2 st< 2

A: Given problem:-

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Q: 13. 1²V2 - 1 dr

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Question 4 of 4 y = (x³ – 3x²)(x² + 4.x + 2)®

A: A detailed solution is given below.

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e*i+e*j ,3t: K(t) =

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Q: the 6) Find the a by curves y=x° and y=X ea of the region enclosed A) D)

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A: B is the correct option.

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A: A detailed solution is given below.

Q: Solve the differential equation Integrating Factor by Linear Equation: y' = 1 – 2ycot2x

A: We can solve this as follows:

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A: 1st derivative, 2nd derivative, dot product and cross product are evaluated.

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A: Given ; L= 4 henry , R=100 ohms and E=200 volts , t= 2 sec

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Q: 4) Find the critical points of the parametric equations x = 5 – In t y = t + Int

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Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

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Q: 26) In Problem 26 and 27, given f(x)dx= - 1 J g(x)dx= 2 and S f(x)dx= 3 a a d. Find f" f(x)dx + S*…

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Q: INTRODUCTION TO MATRICES Answer the following questions: Given the Matrix A below. 3 12 21 A- 17 15…

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

Q: b. In x? dx

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

Q: 2. lim (e* – 1)lnx

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

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Q: Need

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A: r(t)=11cos(8t)i+11sin(8t)j+3tkr'(t)=d11cos(8t)dti+d11sin(8t)dtj+d3tdtk=-88sin(8t)i+88cos(8t)j+3kr''(…

Q: Find div F and curl F if F(x, y, z) = 3e™Y i– 3 cos yj+ 10 div F=

A: Given: 3exyi-3cosyj+10sin2zk