Q2 ) Use the Simpson's rule with (n = 4) to estimate thef²n sinx dx . 2

Q: 15. xydx + 2(x² + 2y²)dy = 0

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Q: Q2: State and prove the first isomorphism theorem.

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Q: INO Practice Exercises: Find the volume of the solid generated when the plane region bounded by axis…

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Q: find dy for ee Sin (メ+34) dx

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Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

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Q: y-1 3. Solve the initial value problem of=4 y(-1) = 0 dx

A: dy/dx = (y-1)/(x+3) dy/(y-1) = dx/(x+3) ln(y-1) = ln(x+3) + lnc here we find c using initial value x…

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

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Q: For the given polynomial o find the maximum possible umbers of the positive and the negative root o…

A: Roots

Q: Find the simplified difference quotient. f(x) = 2x +6

A: answer is in next step

Q: 3 Vx dx 2 x+1 Evaluate

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Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (9e' cos…

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Q: Problem 6 Use the rules of differentiation to to find the derivatives of the functions: (a) f(r) =…

A: topic- differentiation

Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: Evaluate the integral: t3 Express your answer in decimal. Round off to 2 decimal places.

A: I have stated the used formula in the solution

Q: cos'x dy 3 Cos Xよx (3x+2) %3D 子ー

A: Note :- This are multiple questions and according to our company guideline we can do maximum 1…

Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

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Q: 11. If m = 13 + 2\/42 a. Find the value of ym b. Find the value of m 1 c. Show that, m²Vm + 12987 m²…

A: A detailed solution is given below.

Q: divide f(x) and d(x), and write a summary statement in polynomial form and fraction form:…

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Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: A detailed solution is given below.

Q: 2. Circular Rings/Washer Method a. y = x2,y = 4x, about the x – axis %3D -

A: Volume = 428.93 cubic units The solution is given below in detail.

Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: 27T 5. = y² and x + y = 2 is revolved about y = 1. (Answer: c. u.)

A: Solution is given below:

Q: Evaluate the integral: So sin(x)dx *Input answer as decimal round-off to 2 decimal places.

A: We need to find the integral : ∫0πsin (x)dx

Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

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Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: only

A: Please refer to the image below

Q: O Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box…

A: we have to find the limit

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: dy Find dt y = (21+ et) In t dy %D dt (Type an exact answer.)

A: To find the derivative of following function

Q: Evaluate the integral: So (re ) dt Express your answer in decimal. Round off to 2 decimal places.

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Q: Evaluate the integral 5*dx |(Type an exact answer.)

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Q: Find the Taylor series of  f(x)=ln(2+x) around the point x=-1 by reaching the term n=4

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Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

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Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: Solve the initial value problem for r as a vector function of t. d'r Differential equation: = - 18k…

A: Given

Q: [[(r + 2y) dA; R= {(r, y) : 0 s r s 3, 1 s ys 4}

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Q: 31. The vertex angle of an isosceles riangle is 4020. Each of the legs measures 320 mm. Find the…

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Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0ºK®1 where L is…

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Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: Problem 12 Find the following indefinite integrals (a) S(9x² + 8x +3)dr (b) S(x-4 – 9/I)dr (c)…

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Q: a). Find the specific solution to the 2nd order non-homogeneous differential equation d²y dy 12y =…

A: a)The given differential equation,d2ydx2-dydx-12y=30x