S 4x+1 4x² + 2x + 1 dx In 14x² + 2x +1| + C Option 1 In 14x² + 2x + 1] + C 2 In 1 4x² + 2x +11+ C Option 2 In 14x² + 2x + 11 + C

Q: and & and ß are between 0 and f/2. 3

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Q: 2-) -100

A: Since you are asking multiple questions. We are answering only one question as per our guidelines.…

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 4xyz + 6yz²…

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Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

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A: In this question we have to Integrate using the method of trigonometric substitution.

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

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Q: ∞ 20. ) (-1) n=1 (n + 1)! (n + 1)”

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A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

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A: Solution of given question is written in below steps.

Q: Find the indicated limit by using the limits 3f(x, y) lim (x,y) → (a, b) g(x, y) lim (x, y) → (a, b)…

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Q: Given the initial condition y(0) = 2, what i the particular solution of the equation √x - √ (x² +…

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Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…

A: To find the Radius of convergence and interval of convergence of the given series.

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

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Q: 2. Approximate 64.1 by using linearization and use a calculator to compute the percentage error.

A: Given :64.13

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Q: (b) If G(x) = CV: 1 cos (t¹) dt, compute G'(x).

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Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

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Q: e −1 -1 lim (−1) t⇒0 t

A: Use limit expansion

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Q: f(x)=x²-16x³ +61x² + 8+2i is a zero Part: 0/3 Part 1 of 3 +112x-476

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Q: parametric

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Q: A hemispherical dome has a diameter of 700 m. A search light was placed at a point A located at the…

A: The solution is given below

Q: Why do you do e to the power of the integral in order to solve the question? Why not just integrate…

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Q: Find the average value of the function f(x, y) = 5/√x² + y² on the annular region a² ≤ x² + y² ≤ b²,…

A: Here we have to find the average value of the function f(x,y) = 5/√(x2+y2) on the annular region…

Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: 13. Σ(-1)n+1n5.5" n! n=1

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Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: Find the average rate of change for the function over the given interval. y = ex between x = -2 and…

A: topic- average rate of change of function over interval Note: As per bartleby guidelines,we are…

Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

A: Solution of given question is written in below steps.

Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

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Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -2 -1 f'(x) 1 2 3…

A: According to Bartleby guidelines I can only answer the first three sub questions of the given…

Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)