Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms of 2 and not u.

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Q: Given that A = (1,0,2) and B = (6, -2,3), solve for projąB.

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Q: 2x2+x - 1 Evaluate -dx using method of partial fractions. Which of the following is the correct form…

A: We can proceed as follows

Q: sin (3æ) cos (4æ)dx 1 -cos (72) + cos (-a) + C 1 1 1 -cos (7x) + 14 -금in (7z) + 글sin (- 14 2 O A 1 1…

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Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

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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: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

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Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: Evaluate the integral Scors cot x csc'x dx X CSC X

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

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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: .3 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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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: sec(6z)tan(6x)dx, u = 6x

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Q: Evaluate the surface integral. xz ds, S is the part of the plane 2x + 2y + z = 4 that lies in the…

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Q: dx Using Trigonometric Substitution -sin e+C express the answer in terms of x. (x² + x + 1)7 4х+2 +C…

A: Given ∫dx(x2+x+1)32=43 sinθ +C

Q: Evaluate the definite integral. 1 5x +6dx

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Q: For the integral | cot*x csc*x dx, jf we let 4=cot x, what is the re-written form of the integral? A…

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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: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

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Q: 5 — 4г — 2? dx

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Q: If a rock is dropped from a height of 290 ft, its poistion t seconds after it is dropped until it…

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Q: Evaluate the indefinite integral. sin (r)cos(r)da + C

A: Explained below

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

A: We need to evaluate integral.

Q: х х sin sin2 cos 2 dx. 2

A: Given integral : I=∫0π2  sin2x2  cos2x2   dx

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) 8 6 2 "2 -2 -4 Increasing: Decreasing: Constant: 4.

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Q: d²y -=6- 9x and which passes through the points (0, – 1) and (2, 3)- dx2 Find the equation of the…

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Q: Use the information about values of the functions and their derivatives to calculate H'(4), where…

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Q: 3r + cos r 2. Use Squeeze Theorem to evaluate_ lim 1-00 V1 +r2 - 5x

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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: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: Using Integration By Parts, x3 V x² +4 dx = u v- -[vdu Find UV-

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Q: (x In 2x dx = u v- Jv du -Svdu- Using Integration By Parts, Fand uv- fvds uv- Jvau 3 3 xVX In 2x-V지…

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Q: Using integration by parts, which of the following options is true of J x arcsec x dx ? (A none of…

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Q: Using Integration By Parts, x3 Vx² + 4 dx = u v- -Svau - Svdu- بی تر ر ترا Find UV- 3 1 .x2 (x2 +…

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: *(5t² – 3t=3) dt

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Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

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Q: 4) y =iy ¡y' -x1

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Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

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Q: %3D variable expressions represent positive real numbers. Write logarit as a single logarithm with…

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Q: (2x + 4) + 1 dx- x² + 4x + 5 x² + 2x– 10 2 (2x + 4) + 1 2 Consider dx = x2 (x² + 4x + 5) dx.…

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Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

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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: Using Integration By Parts, x Arcsec 3x dx=uv- -Svdu 了 Find uv- x² Arcsec 3x – 2 dx 2 x²-1 3 x…

A: The given integral is: ∫x sec-1(3x) dx