1 2. S dx (Trigonometric Substitution) (2x-x²)7 3

Q: 5. If y = t^2+2 and x = 3t + 4, find dy/dx.

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Q: 4. (x² + l)dx + x² y?dy = 0

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: s'an tan-1 3x dx 3+27x2 Evaluate

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Q: Differentiate y = (sin¬'(x))5².

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Q: v = y ln (x² + z*), find vzy. w = x²/(y² + z²), find d³w/ôz ðy².

A: To find  vzyy, where v=ylnx2+z4

Q: •r |4 2 sin x cycosx I y dz dy dx

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Q: (b) for 3-3x³ dx

A: We need to evaluate the given integral- ∫0∞3-3x3dx Here we will use the following integration…

Q: x² –9 2. dx. Use trigonometric Substitution. .3

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Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

A: Given: x=2u4-u3+u-11, y=5u3-4u2-7u+2     As we know that; The Power rule; ddxxn=nxn-1 The Quotient…

Q: 1) Find and of the following equation then simplify whenever possible. dx dx² x = 2u* – u³ + u – 11…

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Q: Find dy, y = sec ( 5- 2x) 6. where

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Q: (c) Use geometry (ONLY) to find the exact value of (2x + 1) dx. Illustrate your method with a new…

A: By sketching graph

Q: S- 7- 16x? 1. dx Do not use trigonometric substitution for #1 (it is not necessary). Use another…

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Q: |x+y dx dy Jo Jo

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Q: • Find solutions using Exact Equation (show step by Step soLution good hand written) 1.) Sove ex…

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Q: Sπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

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Q: Trigonometric Substitution SV9-y dy Vy dx 6. S e 2x+1

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: cos(x + y), when x = 0,y = 7. dx dy 2 = 4

A: As per the policy of bartleby, the provisions is to solve only one question at a time.   So I am…

Q: π/4 x² dx (x²+4)5/2 0 (Use trigonometric substitution)

A: Given integral I=∫0π4  x3(x2+4)52 dx

Q: 36. Solve f x+2 - dx the following two ways: (x² +4x)3/2 (a) with the substitution u = x² + 4x; (b)…

A: Given: ∫x+2x2+4x32 dx To solve: The given integral by using (a) The substitution  u = x2+4x (b) By…

Q: cos x dx Vsinx

A: Topic = Integration

Q: Solve Hhe following by Separcting initial vallue 2006lems g the Variables 1 %3D %3D dx

A: Variable separable differential equation

Q: 2 sec 3x y Do not simplify your ans %3D cot³ cot 3x

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Q: IV. Trigonometric coslnx dx 1. S ans: sinlnx+C dy 2. S ans: cot(e") + C eY sin² (e-Y) 3. Scos³xdx…

A: Dear student,                         According to our guidelines we can solve only first question…

Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

A: To find solution of differential equation

Q: (2ху)dx + (у? + х?)dy %3D 0

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Q: (x+ycosx)dx+(sinx-3y^2+5)dy=0

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Q: 10. Use an appropriate Trigonometric Substitution to integrate: 16 dx x2-8x+16 a) Jave Va-64 b) S-…

A: Integration problem

Q: (1 - cosx) dx Evaluate: cosx(1 + cosx)

A: Given: ∫1-cosxcosx1+cosxdx Evaluate the given integral.

Q: (5) ye2* dx = (4 + e2x)dy = 0 %3D %3D

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Q: cos(2x) -dx sinx+cosx

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Q: 2x[3x + у — у ехp (—х?)] dx + [x2 + 3у2 + exp (— х?)] dу — 0. %3D

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Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx

Q: = kx³y? - ? %3D What is the value for k when DE is an exact equation? (2x* + sine(y)) dx -2 4 -4

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Q: dy - 4— у, у(0)—3 dx 5.

A: Solving by substitution method

Q: Vas x? - 4 dx by using trigonometric Solve substitution 2 Sec (0)

A: We have to find

Q: t /2 ccosx CT-X sin(x +y)dy dz dx Jr/6 Jo

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Q: dy 3) y = u5 and u = 3x – 1; 2 Ans: 2 = 15(3x – 1)* %3D dx dx

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Q: dx2 doc sin@ags) Ans: y =x² (A z3 + (5sin Clox) + G coslog.s>) +Bx 61て

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Q: Find the general solution. Show complete solution in handwritten. Thank you! 3. u dx + (1-3u)x du =…

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Q: S e3* cosx dx ез OOX

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Q: 9. xdy + (y+x'y² ) dx = 0 10. xdy + 2ydx = xy² dx ; y = % when x= 3 %3D

A: Explained below

Q: = sin x ,0 < x < 2n D)* 10. Solve the equation: 2sin²x п Зп п 2п IT 5TC A) 0, T, B)3 D);2'3' 3 3 3…

A: We have

Q: (a) G(r) = (5+1-1)3 (b) A(r) = 1+arctan(3r – )

A: First we find the intercepts then use derivative to find the slope of that line.

Q: Watch the video on completing the square to integrate 1/sqrt(x^2+4x-12) 2 before answering this…

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Q: V9 - 4x? dx

A: See the details solution in below

Q: В. 1 dx 1+ /1+x 1 dx sinx+ cosx + 2 C.

A: We'll answer one question since the exact one wasn't specified. Please submit a new question…

Q: {S," cos t dt 7. L

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Q: Find the value of x. 2xA to D F.

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Q: /9-y dy

A: We have to integrate.