4x3 + 4x? – 2x + 4 dx - (x² + 1)?

Q: Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 +…

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Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

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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 sequence of partial sums S,, S2, S3, S4. and S5. 7 7 + 4 7 7 Σ = 7+ - 1 16 64 256 n = 1 S1…

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Q: 1. (32.12) Determine the radius of convergence and the interval of convergence n!(2a - 1)". n=1

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Q: Performance Task Determine the antiderivatives of the following 1. sec24x dx 2. [(tanx – 1)²dx dx 3.…

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Q: Find the average value of f(x)=9x+1 over [4,9]

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Q: Find f'(x) and f'(C). Function Value of c x2 - 4 f(x) = C = 1 x-8 f'(x) %3D f'(c) %3D

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

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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: - [fle)d@ find f(E)· dx Using Trigonometric Substitution J 3. (x² + x + 1) 7

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Q: Evaluate the integral Scot? x dx -cot x - x + C cot x + x + C cot x - x + C 1 cot x + C .3 X + O O

A: Topic = Integration

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: I'm having a hard time with 8 I just don't understand

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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: Find the first partial derivatives of the function. f(x, у) = 3x + 5y + 4 fy fy

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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Q: Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: Suppose a sample of a certain substance decayed to 77.2% of its original amount after 300 days.…

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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: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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

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Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

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Q: 13x + 6/3xy + 7y² – 80 = 0 %3D

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Q: 1. Evaluate the following limits. 2 - V2a + 10 a. lim 2-3 22 +r - 6 4x – 7 lim с. -1- (3r2 – 2.r 5…

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Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

A: We need to choose correct option.

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: The equation r(t) = (t + 3) i + (7t) j+ (3t) k is the position of a particle in space at time t.…

A: Let's find.

Q: dæ 2 (x² + 1)²

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Q: | æ(5")dæ

A: topic - integration by parts

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

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Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: B. f is not continuous at x =a C. f has a relative maximum at x = a D. f is continuous but not…

A: Here, we have given a function now we have to calculate the points where the function has point of…

Q: Using Integration By Parts, dx =uv- v du v-Svau Find 6 x2 e dx 1 dx x3 dx - °3 x? e* - хе dx

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Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: We need to use mid point rule to approximate integral.

Q: sNinzx dx=uv- Jvdu -Svau: Using Integration By Parts, Find u v- Sv du 2 XyX In 2x-| 들 Vx dx 2 XVx In…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 4 cos 2t and e = 5t

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Q: + y + z = 1 in the first octant.

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

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Q: -5dx 8. Evaluate. (c + 0) cx+d

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Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

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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: 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 f'(x) and f'(c). Function Value of c f(x) = (x + 4x)(5x + 2x - 4) C= 0 %3D f'(x) = f'(c) =

A: A detailed solution is given below

Q: 12x²-x² * x+2 dx= D dx • x +1 Consider dx = ,find A+B+ C+D· x4+ x3

A: Consider ∫2x3-x2+x+2x4+x3 dx=∫Ax+Bx2+Cx3+Dx+1 dx, then to find A+B+C+D.

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: we the system. If the system has one unique solution, write the solution set. Otherwise, determine…

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Q: Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral…

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