Use substitution to find the indefinite integral. Зх + 7 (6x + 28x) 5 3x +7 (6x² + 28x) =xp.

Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

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Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

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Q: dr 2 Vr*+3

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Q: 7. Find the area of the region bounded by y = 5x² +1, x = 0, x = 2,y = 0. Give a sketch of the…

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Q: Find each of the following limits. Since you use L'Hopitals Rule, explain why you use it lim 2?e…

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Q: Find the exact average value fave Of f(x) = V4 - x between 0 and 2, then find an exact number c in…

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Q: coso de by trigonometric substitution.

A: answer is in next step

Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

Q: If y= (x+1). sech (Inx) find dy ノ

A: Use the product rule and chain rule of derivative.

Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

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Q: Solve the following differential equations of 2y – -3d = y* . e" ;

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Q: Find the derivative. 8 + ex y = In 8 - ex Step 1 The given function y = In 8 + ex can be written as…

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Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

Q: (ar3+ bx2+ cx) dr =2b x2dx where a,b and c are constana A) True

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Q: dr J z(x+1)² 14.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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

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Q: Follow the instructions. Typewritten for upvote.

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Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: ) Sypposef and g are functions with continuoUS elerivatives, and that they satisty the following. is…

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Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

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Q: Plot the points with polar coordinates -5, and 4, using the pencil. 11a 6. 4. 4T 3 如不

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Q: C. coordinate

A: answer is in next step

Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

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Q: evaluate y" -2y' +5y=0 y(0) =1, y'(0)=3

A: Solve the following

Q: III. Do as indicated showing the details of your work. Show your complete solution on the space…

A: We need to evaluate definite integral.

Q: Evaluate the definite integral. (Round your answer to two decimal places.) 1 9 (cosh(x))² dx

A: cos h(2x)=cos h2x +sin h2xcos h(2x)=2cos h2x -1cos h(2x)=1+2sin h2xcos h2x =1+ cos h (2x)2

Q: x²+x dx x2+1

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Q: -2 12) Find the sum of the Series 2".30" A C) D) 2 E) 9

A: Let    I= ∑n=1∞2n3-n-2Rewriting 2n3-n-2=2n3-n3-2                                  =2n3n×132…

Q: 4x | 13- dx 3-4x -4x2

A: ∫4x−4x2−4x+3dx=4∫x−4x2−4x+3dx Rewrite x as x=x+12−12 and split the expression:…

Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: 2 Find the cartesiun equation for the polar Carre rこlcos . Al(x-2)²+y2=4 ty²-4 %3D c)x²+ Cy-2)?=4 D)…

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Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: 1.

A: Given,  ∫1+∞1xdx

Q: 2. C sin $ 2wcos° 2wcw 3. If f(x) = Vi19+r² dt , find f'(3).

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Q: Use the graph to complete the following.

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y =…

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Q: Solve the system of differential equations - 12x + 8y y' = – 10x + 6y a (0) %3D — 10, у(0) — — 13…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: y = 4e2x + xe2x; y" - 2y' + 1 = 0. Yes O No

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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: Question 5 Find parametric equations for the line described below. The line through the points P(-1,…

A: Given: P-1,-1,-1   and 6i-3j+3k

Q: 2) (-2)77"= 5h hzo

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Q: 3. Find the equation of the plane tangent to xyz + x² – 2y² +z' =14 at (5,–2,3)

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Q: Differentiate. 10. y = e

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Q: 91 (x). いz 16 モtuて X ultブ -(り+ X uft-) こtれてXutラ =()(つ 3-(x)ナ( zn+1 (6トフ3×マ A) flx)= x?m 167x2 power…

A: Let's find.

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

A: using method of substitution

Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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Q: The derivative with respect to x of (3i-1)ar is 3-1 by the 2nd fundamental theorem of Calculus A…

A: let f(x) =∫3x ( 3t-1) dt