3 Find the arclength of the curve x = 3 t² with 5

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A: Sum

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Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: There is a function                                                           f(x,y)=3√x3 + y.…

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Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

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Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

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Q: y10) f(x, у) %3D In x9

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Q: Q.4 Let Ø be a scalar point function defined as follows Ø = x3 + y3 + z - 3xyz. %3D 4.1 Find the…

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Q: Use the Binomial Theorem to write the expansion of the expression. (r + 3s)3

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: Follow the procedure given below.

Q: dy = ky dx x = eky y = e-kx Option 2 O Option 4 O y = ekx x = e-ky Optio n 2

A: The given equation is dy/dx=ky.

Q: Find the integral of 32/3 and 32/3

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Q: Find the limit.

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Q: Find the average value of the function f(x,y)=y2√x +5 over the rectangular region R=[2,4]×[3,4].

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Q: 5 (а). and the bottom of the box costs 3 TL per cm². The sides of the box costs 1.5 TL per cm². We…

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Q: Select which shaded region below satisfies the conditions. 5x 4 37 3 <r<4 and 12.

A: We have to find the graph of required area.

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

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Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: O The series does not converge. 5. To what number does the series converge k=0 (A) 0 t+e…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: Solve the following differential equations of (2x' + y)dx +(x²y-x)dy =0

A: This is a problem of differential equation. Based on exact differential equation concept we will…

Q: ICLO-1) Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose that the…

A: Given problem:- Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose…

Q: Find the exact length of the curve f (x) = 1+ 6xi on the interval0 < x <1. Use a complete sentence,…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-3)" (2n + 1) n = 0…

A: Solve the following

Q: Show that the following functions satisfy Laplace's equation dx? = 0. dy? f(x, y) = x³y – ry³

A: Given :f(x,y)=x3y-xy3

Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

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Q: Find T(t) and N(t) at the given point. e' cos t, y = e' sin t, z = e'; t = 0 %3D T(0) %3D N(0) = %3D

A: Given vector x=etcost, y=etsint, z=etr→(t)=&lt;etcost, etsint, et&gt;

Q: * This equation is an example for linear equations dy dx False O True O

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Q: Given the curve y = x' and the line y = 2 – x . M. Find the moment of R with respect to the x-axis…

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Q: Find the 18th term of the arithmetic sequence. - 6, - 16, - 26, - 36, ... The 18th term is

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Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: H.W. Solve the fallowishg first order OE -3= \-yャメ- %3D y3 5-0 J2. Sinx

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