Sa -1 dx (1+x²) 12/2

Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy for the given path. C:…

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Q: If f(x) = 4ln(6x + 3 ln(x)),

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Q: For the function (a) Find the domain of g(x). (b) Simplify g(x). (c) Find any discontinuities in the…

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Q: 8 12 Vi VF dt 2.

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Q: Consider the curve defined by the equation y = 5x + 3x. Set up an integral that represents the…

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Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

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Q: the sum of the series by using the first six terms. (See Example 4. Round your answer to four…

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x²ym) +…

A: To find out the nth derivative of the function.

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections…

A: A solid lies between planes perpendicular the the y‐axis at y=0 and y=2. The cross‐sections…

Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY:  y=x^2+1, x=0, y=0, and x=2…

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Q: Find dyldx at x = pi/3* y = sinh'(2x) O 0.8617 O 0.6817 O 0.6871 O 0.8671

A: This question is based on chain rule differentiation.

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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Q: Vector Magnitude Correct? p= N w =-2i + 6j

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Q: 15 Find the area f the surface generated by revolving x= 4√/1-y, 0sys. about the y-axis. 16 The area…

A: The given problem is solved below in detail.

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: 1) Use Green's theorem to evaluate o y'dx-x°dy where C is the curve shown: r2 where ri=3 and r2=5…

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Q: Solve the problems below using the following steps;                                             i.)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: -7x - 2 y =-13 x – 2y = 11

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Q: Find f"(3) * S(x) = 3*+1 107.403 322.210 97.763 38.917

A: Given, f(x)=3x+1 To be found : f"'(3)

Q: What is the difference between a first-order linear differential equation and a second-order linear…

A: We can explain the answer as below.

Q: A graph of f(1) is shown above. Using the geometry of the graph, evaluate the definite integrals. a)…

A: Solve using the area under the curve between given limits

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: 2. Let R be the region in the first quadrant bounded by the graph of y = Vx-2 and the lines x-2 and…

A: Note:  As per our guidelines, we are restricted to solve only one problem. Hope you will understand.…

Q: 218x- 2y-z= 10 x-3z = -2 3-x+y-3z=-4 |

A: We will solve this system of equations algebraically.

Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

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Q: Q6: Solve Nhe Complex equation a, z+z + Iti = 0 3 b. Z°+ z+ Z +1 = 0 where Z= x

A: Concept: Complex numbers: A complicated equation is one that requires the use of complex numbers to…

Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

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Q: For the function f(x.y.z) = 1+ xy° - 4z*, find f f, and f.

A: We can find the partial derivative in the following steps.

Q: For the function h(x,y) = ?x = x +9y 2xy-9 ah əh find and ax ду

A: We need to find derivative.

Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform

Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: of Find and dy f(x.y) = /2x + 3y? df (Type an exact answer, using radicals as needed.) dx II

A: We can solve this as follows:

Q: 6 Consider the series n2 +n a. The general formula for the sum of the first n terms is S Your answer…

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Q: L fx, y, z) ds. Evaluate f(x, y) = 9y – x S: r(u, v) = cos(u)i + sin(u)j + vk Osus", 0 svs1

A: We have to evaluate the integral.

Q: Q1: Find the Laplace of the following Periodic functions: 1. f(t) = t 0 <t< 2 2. f(t) = ksin(wt) 0…

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Q: Find f(t) ( Inverse Laplace Transform )of the following functions пп s+1 1. F(s) 2.F(s) (s +2)´+n²n²…

A: As per Bartleby guidelines we are supposed to answer only first question. Please post other question…

Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

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Q: Differentiate each function. Simplify as much as possible and express all answers using positive…

A: As per bartleby guidelines we only give first three question answers.  Let's find all…

Q: Let f(z) dz = 8, g(z) dz = –12, g(z) da = 13, Use these values to evaluate the given definite…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Let f(t) Find the Laplace transform F(s) by computing the following integral: 00 [ f(t)e=" dt = […

A: This question is related to integration, we will solve it using given information.

Q: 1-f e*. Inx dx ex. Inx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: Consider the curve defined by the equation y = 3x + 4x. Set up an integral that represents the…

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Q: 2x +4y + 4z = 6 2y+3z = 17 -x + y - 4z = -16 %3D

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Q: evaluate

A: We will solve the integration

Q: Hiws find the integral of the Pouction fix y1= over the region betwein the twe circles of rading 2…

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