Find the integrals of the given in the picture

Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: (d) Let an = 6n²+ n-1 ntn and bn √n n+1' (i) Determine whether {an} is convergent or divergent.…

A: Given;  an=(6n2+n-1) /(n2+n)  bn=sqrt(n)/(n+1)

Q: 4. Consider the region bounded by x = y² + 4y - 2 and x = 1. The region is revolved about the…

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Q: ·S. Given : 1 value of -AB AB. 3 72 40 8x + 1 20 3 280 3 4x - 3 4x - 3 dx. If we let the…

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Q: A number is chosen at random from the first 20 integers. Find the probability that the number is a…

A: Topic = Probability

Q: (e) Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: Find the area bounded by the following functions/lines/curves: f(x) = 3x3 - x2 - 10x; g(x) = -x2 +…

A: Given: f(x) = 3x3 - x2 - 10x; g(x) = -x2 + 2x Let's first find the intersection point  3x3-x2-10x =…

Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: Identify the surface defined by the following equation. -2²-8²2 +²²2 + -x-y + 10x -6y = 43 Select…

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.…

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Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: Use the theorems to evaluate the limit. 1 lim x →∞ X² ||

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Q: + [ ] [ f(x, y, z)dV, where f(x, y, z) = 2² yz and S is the solid bounded by the elliptic paraboloid…

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Given the function F(x) = 2x 3 - 6, find the value F(-1). 10 -8 -4

A: Solution is done in step 2

Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: Identify the vertex of the parabola: y = -4(x - 2) 2 - 3. (2, 3) (-2, -3) (-2, 3) (2, -3)

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Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A: The objective is to find the rule of the inverse of the function.

Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: Given f(x,y) = ex cos y, Evaluate fy(2,0) O e² cos 2

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Q: Which of the following integrals would best approximate the area of the region bounded by y²-x=0 and…

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Q: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…

A: Finding consumers surplus

Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

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Q: 4. Given z = *-y x+y Find az/ax

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Q: Which of the following is not an improper integral? # of th al

A: We know that, An improper integral is a definite integral that has either or both limits infinite or…

Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves

Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j aT an…

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Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: Question 17 :S- Given : 4x - 3 A = √ (21²+8) √u²+2 ® / / / 1 (2011 B (2u²+11)u √u²+2 © ²/2 √ ( 2 u ²…

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Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: Find the determinant of the matrix, O2²-12-13 O22-12+13 O²+12+13 Oλ-13 2-11 4 6 2-1

A: Determinant , λ-11λ-1-24 λ2-11λ-λ+11-24 λ2-12λ-13

Q: 9. Find the interval of convergence of the series n=1 5" (x-3)" √√n

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Q: Find the area of the region bounded by the curves y = x²y = x² and ² 01/2 02 O 1/3 O 2/3 = xy = x.

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Q: dy 3. dx + y = 2xy²e™

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Q: Q2: test if (AB)¹ = B¹A¹ A = 4 1 4 -3 61-63 0 2 B = 0 2 L3 5.

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Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: 15. y=Arccos (x²)

A: The given function is: y=Arccosx2   As we know that: The Chain Rule: fgx'=f'gx·g'x The Power Law:…

Q: A man that is 5 feet tall is walking in a straight line at a rate of 3 ft / s towards a lamp post…

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Q: Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 -dx 2 √√3x²-4

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Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region.

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: Problem 3: ( >>> A bacteria culture starts with 500 bacteria and doubles in size every half hour. •…

A: Topic:- function  Note :- as per our guideline if more than three subparts posted than only first…

Q: Let f(x) = 2x³ - 3x² - 120x+7. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

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Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: 300. NR4) For a graduation ceremony, there are 8 people sitting on stage in one row. If the master…

A: We want to find number of arrangement possible.

Q: A man 5ft tall is walking along a straight line at a rate of 3ft/s towards a lamp post that is 15ft…

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