The curves described by the following polar equations intersect at which value of the angle theta?  A. pi / 2 B. pi /3 C. 3 pi / 4 D. 5 pi / 6

Q: Using Integration By Parts, x Arcsec 3x dx = u v - Jv du - iv- Svau. Jv du. Find uv- o Arcsec 3x -…

A: Given: ∫x Arcsec3xdx=uv-∫vdu   ......(1)   As we know that; The chain rule; fgx'=f'gx·g'x The Power…

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: In7 Change the Cartesian integral dx dy into an equivalent polar integral. Then evaluate the polar…

A: Put x=rcosthetha and y=rsinthetha

Q: Question 7 15х2—х3— 43х — 19 Ax+ B C D -dx can be rewritten as dx. The integral + + (x+1)2(x2– 6x…

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Q: Using Integration By Parts, Vx In 2x dx= uv- Jv du- Find u v- du- 3 x/x In 2x- Vx dx 2 O 2 xVx In…

A: The given integral is: ∫xln 2x dx

Q: 2х — 1 dx x² – 6x + 18

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Q: 11. y= 4sech? 2x +4csch? 2x y= tan (sinhx)+ sec (cosh x) e* sinh x+e' cosh y = e' tanha 12. 13. y =…

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Q: What are the polar coordinates of the point P shown below? 2 3 4

A: This question is related to coordinate systems, we will solve it using given information.

Q: Compute the following values for the given function. f(x, y) = 4x2 + 2xy – 7x + 4 f(1, 2) %3D f(2,…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Which of the points below correctly plots the point (3, 4)?

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Q: 6. What does lim v2 – x = 1 means? x-1 a. The limit of the function is 1 as x approaches 1 from the…

A: As per bartleby guidelines we only give first three question answers.

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

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Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: Consider the following parametric equations. a = t + 5t y = -3t2 + 1 - 2 <t<2 a) Find four unique…

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Q: C. ta the sum or the values of a and h such that f(x) - 2ax2 1 hr + 3 has a relative extremum at the…

A: 7.   The function f(x)=2ax2+bx+3 has a relative extremum at the point -1,2

Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: .3 onsider the indefinite integral a - Va + 9 dr: This can be transformed into a basic integral by…

A: Given query is to transform the integral in u and du format.

Q: Scots x csc?x dx esc" x - csc", -7csc x + 5csc esc" x +csc" x -csc? x + C x csc³x 1 X + c³ x + C 1 1…

A: Solve by integration method

Q: Evaluate the surface integral / F. ds for the given vector field F and the oriented surface S. In…

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Q: (b) 1 When is the velociy of the particle positive? [0,1) U (3,4] When is it negative? (1,3) When is…

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Q: 1. Given: S(x) = {10ze", | 2r³ + 3x² – 12x, r>0' I < 0 a. Find all the critical numbers of f. b.…

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Q: (4t³ – e') dt

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Q: 1. Evaluate the following limits. 4x – 7 lim C. +-1-3r – 2r + r + 1|

A: Let's find.

Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² =…

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Q: 2 - V2r + 10 a. lim 1-3 r2 +x – 6

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

Q: Consider the indefinite integral dr: a) This can be transformed into a basic integral by letting and…

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Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

Q: хdу — ydx — Vx? — у?dx 3D о

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Q: Evaluate the proper Integral X-X aJ Simplified form b) Values of A, B,C,D CCD P needed) C)…

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Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

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Q: So

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Q: S, 3x²e* dx .2

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Q: A bacteria culture grows with constant relative growth rate. The bacteria count was 2,560 after 4…

A: answer in next step

Q: dx -= In[F(x)]+C• What is f(3) For (x+x³) (x Tan-!x+1) 3 3 -1 3 6. + 3 + + +

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Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

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Q: local

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Q: Vx2 + 4x - 5 dx = Using Trigonometric Substitution f(e)dA find the new limits of integration. 1. x+2…

A: Let's find.

Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

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Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: Consider a function y= f(x)  then the derivative f '( x) is the  rate of change of y with respect to…

Q: S° g(t) dt

A: From the figure, we know the following. ∫010g(t)dt=Area of the semi circle - Area of the triangle…

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: Given: Now, fxx=∂2∂ x2x5+x2y2+y5+x+y    =∂ ∂ x5x4+2xy2+1    =20x3+2y2 fyy=∂2∂ y2x5+x2y2+y5+x+y…