Q2: Determined the component of the vectors at each point (1,0),(-1,0),(0,-1),(1,1).,(-1,1),(-1,-1),(1,-1) f (x,y) = ( 2x, y).

Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 < t < 4. (Use…

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Q: + Inx y(In2x – Iny)

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Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

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Q: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

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Q: sin(x)cos(2x)sin(3x) dx o sin(3x)cos(3x) sin(2x)cos(2x) sin(2x) + C 4 12 8 8 sin(6x) sin(2x)…

A: Solving the problem by finding the integration of the problem.

Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: d太 2.

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Q: JV-x² + 4x+5 Consider dx. Using trigonometric substitution, what is the integral form in terms of 0?

A: We have to determine  integral form of given question

Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: dx ex sin2 (e

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Q: _12. What is the maximum directional derivative Daf of the function f(x,y,z) = x – y² + z² at the…

A: Let's find.

Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: 7 -4 Consider the surface x'z* + sin(y zª) + 9 = 0. Use implicit differentiation to find the…

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Q: 4. Given [2r + 5], 4- 2x 1² – 2x' if r < -1 f(x) = if –1<x< 2. sin(r – 2) 2 if r 22 a. Discuss the…

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Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: give the equivalent cartesian coordinates of ρ = π

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The graph of a function f is given. y -1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: 3. Sin x dx 3- COS

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Q: 2x+11 3. 1 dx, evaluate Consider 3 x² + x – 6 = xp dx X+3 X- 2 X+3 X-2 |(x- 2)° +C In x+3 x-2 In +C…

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Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t E 0, 27]. Determine (a) the time…

A: Let C be a curve that is defined by x=4sint and y=cost, t∈0,2π. x=4sint⇒dxdt=ddt4sint=4cost…

Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: Using Integration By Parts ∫ x^3 √(x^2+4) dx find uv - ∫ v du

A: To give a representation for integration by parts.

Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

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Q: The integral 15x* - x* - 43x – 19 (x + 1)2(x2 – 6x + 13) can be rewritten as

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) (x) = xe8x (a) Find the…

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Q: 1 -x dx = u v- Sx sec xtan Svau Using Integration By Parts, Find UV- X sec ec- x dx 1 1. x sec 1.…

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Q: S tan5 x dx O 1/4 sec^2 x(sec^2 x - 1) - In Icosx |+ C 1/4 (sec^4 x - sec^2 x -In Icosx |)+ C O 1/4…

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Q: Find the length of the spiral r = 80 for 0 < 0 < 3. (Use symbolic notation and fractions where…

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Q: e* dx ex 11

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Integration by Parts Example 4. Evaluate In x dv,

A: The given integral is: I=∫lnxdx   As we know that; ddxlnx=1x

Q: to the South Coast Air Quality Management District, the level of nitrogen dioxide, a brown gas that…

A: Here,  A(t)=0.03t3(t-7)4+60.2, 0≤t≤7

Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

A: A)f(x)=cos-1lntan xdomain of inverse of the function -1,1.-1≤lntan x≤11e≤tan…

Q: If you are going to evaluate the integral S V1 - 7w-dw using trigonometric substitution, the answer…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: V4. 4-x? Si S dy dx using polar Evaluate 2x-x2 Coordinates.

A: Let's find.

Q: What are the polar coordinates of the point Q shown below? 1 2 3 4 5

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Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: Given x sin (yz) + y³ cos (xz) + z sin (xy) = v3. Find əx (a) implicit differentiation, (b) by…

A: a) Implicit differentiation: We will treat y as constant.…

Q: Using integration by parts, which of the following options is true x arcsec x dx ? xdx A. * Arcsec x…

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Q: Integrate

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Q: 22 - 12x To solve J x²(3x² – 10x – 8) dx , partial fraction is to be employed. What is the most…

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Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: (1 – x²)dx eTextbook and Media 2) V You answered correctly! Move on to the next part to add to…

A: According to guidelines we solve only first question.

Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: 2. sin° (x) cos° (x) dx

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Q: A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g =…

A: According to bartleby guidelines I can only answer the first three sub-questions. Please repost the…

Q: Evaluate the definite integral. '5 3 9 Vx2 dx

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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: If 7-4/3 = Vx-Vy, determine the values of x and y. %3D

A: We have to find the values of x and y from the above expression.