Calculate x sin(y)dxdy

Q: Find these derivatives

A: Our Aim is to find the derivative of the following functions given below:-(i) y=e2x cos (x)(ii) y=ln…

Q: Use series to approximate | V1+ x*dx correct to two decimal places.

A: Let's find.

Q: k(u) is a degree 3 polynomial with k(0)=-21.24 and zeros 4 and 3i. Find an equation for k with only…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i + 5 sin(t)j…

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Q: Inx 6. lim,

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Q: Determine the derivative of f(x) = 2x2 - x3 using the first principles definition of the derivative.…

A: Given f(x)=2x2-x3we know that using first principles f'(x)=limh→0f(x+h)-f(x)hThen…

Q: y+1 - Z 4. Find the distance between the lines = z and x = 3 %3D -2

A: topic- distance between lines

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

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Q: find area OPShaded Pegion ニ 16x

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Q: Sketch a single graph of a function f(x) which satisfies all of the following the limits and values.…

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Q: n! n=1

A: Given :∑n=1∞ 1n!

Q: 4 fy 1 -3 -2 1 -1 -2

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Q: Find the area bounded by the graphs of 1, y= and X=1 (Ao the right)

A: Find your answer below

Q: Find the vector 2u +3w given the vectors u =-i-4j and w = -2i + 5j. Write your answer in the form a…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: (a) Use Green's Theorem to find the line integral over the simple, closed curve C : r(t) = (cos t,…

A: To use green's theorem to find the given line integral over the curve C

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e-4x²…

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Q: 7. 1 (x dy – y dx) = 0 %3D x² + y²

A: Here, the given DE is: 1x2+y2(x dy -y dx)=0...(1)

Q: 1. Find the particular solution of the differential equation that satisfies the initial conditions.…

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Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Use Power Series to Solve the following Differential Equations: y'' - y = 0

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Q: Find the directional derivative of the function

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Q: Find G'(x). In(9) G(x) = (4e- 7t + 1) dt G'(x) =

A: Given query is to find the derivative of the expression.

Q: A. Sketch the figure for analysis. Shade the needed region and draw a representative vertical or…

A: Here, the region is bounded by the curves: x=4, y2=x

Q: Question8: Choose one answer. You decide to collect a bunch of cans of soda and measure the volume…

A: To solve the following problem

Q: Find the area of the region bounded by the curves y = 1/x , y = x and y = 4x in the first quadrant.…

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Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

A: Solved below

Q: 21 The function f(x) is represented in the following table. Give the best estimate for f(x)dx 3 9.…

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Q: 23. y²dx + (xy – 1)dy = 0

A: Let's find.

Q: Find V x (V × F) if F(x, y, z) = 4.xyj+2xyz k. ▼ × (V × F) = %3D

A: ∇×F=i^j^k^∂∂x∂∂y∂∂zPQR  for a vector F=Pi+Qj+Rk in terms of x,y,z

Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: Investigate the convergence of the following series. H.' 2n+5n 2) ΣΗ-1 ILJ! 3n

A: Here, the given series is: ∑n=1∞2n+5n3n Let, an=2n+5n3n; n≥1

Q: lim (3x + 1) sin(2x) 4x2

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Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

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Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

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Q: 22. u = Vr² + s², r = y + x cos t, s=x + y sin t; ди ди ди əx’dy when x = 1, y = 2, t = 0 dt

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Q: Verify Green's Theorem by evaluating both integrals | y2 dx + x2 dy dA ду for the given path. C:…

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Q: Given the force field F, find the work required to move an object on the given orientated curve. F =…

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Q: 17-20 Express the limit as a definite integral on the given interval. 17. lim sin x, Ax, t, [0, 7]

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

Q: 4z² + 5dz 금(122+5) xo 4a? + 5 Part 2 of 2 ewrite the integrand in terms of u so that the integral…

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: S%3200000 e° find the growth rate of S.

A: Given query is to find the growth rate.

Q: The graphs of the function f (r) = 7 - a and g(a) = 3 are given below. %3D

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 4

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Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

Q: Mic differentiation to Find der :Vative Of Y «in(x+7) x+7)* (In(x+7) + X. X-1 H7)* (x+7) t x+7

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Q: Find the J(2x + 1)³ dx

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Q: Consider the function f(x): - 4x + 6x - 8. f(x) has a critical point at x A. Find the value of A: A…

A: For critical points ofa function we first find the derivative of the function and equate it to zero.

Q: 7. Determine the following general antiderivatives. cos (x) dx -dx sin(x) а. - b. 10 sin(x)cos(x) dx…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…