xe*y dy dx

Q: Point Func tion h(x.y)-7ycos (x-y) Co,Ti/3) Dn(o,1/3) = %3D

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Q: Show

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Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: lim 48V x 487Y

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

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Q: Finden- un) andrn - in twe dferent mays r(t) -n+ se's - e'N, wt) - t'k (a) re) - uch) () Find the…

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Q: nd the S (1–) dx A. x– 2 In|x| – +c B. 3x – 2 In|x| –-÷+c C. 2x – In|x| –+c D. x– In|x| - +c

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Зху dx + 4xy dy %3D i 63

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Q: ||r'(t) x r"(t)|| Use the formula k(t) to find k(t). 13 r(t) = t’i+t5j K(t) =

A: We have to find k(t)

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: (2) Prove that for any integer L () NTX / sin? dx = L. L -L

A: ∫ cos(ax) dx = 1a sin(ax) +C

Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: Recall the geometric series 1/(1 − x) = 1 + x + x^2 + x^3 + x^4 + . . . for |x| < 1. Determine the…

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Q: n! n=1

A: Given :∑n=1∞ 1n!

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: (6x- y+3)dx+(3y'-x-2)dy 6) Integration Factor Method rahee

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Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: Solve the system of differential equations. [ 3 x' 0 - 4. x1(0) = – 12, x2(0) = – 10 - æ1(t) = %3D…

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Q: Find the derivative of this function

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

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Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 3 r(t) = e"i+ etj 9ts K(t) ||

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Q: 59-64 Use Property 8 of integrals to estimate the value of the integral. x'dx 60. | Jo x+4 59. dx…

A: ∫xn dx = xn+1n+1 +C ∫tan x dx =ln sec x+C

Q: Find r'(t) %3D r'(t) = %3D

A: Given;  r(t)=6 sqrt(t)i +t2 sqrt(t)j +ln(t2)k.

Q: Please help

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Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

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

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Q: f" (x) = cos x, f(0) = 1, f'(0) = 2, f'"(0) = 3.

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Q: If x + 1 f(x) then find the global maximum of on the interval [1, c0) Write DNE if there is no…

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Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A: Given :r(t)=6costi+6sintj

Q: ||r'(t) x r' r"(t)|| Use the formula k(t) to find k(t). 3 ||r(t)||* r(t) = t'i+ t5j K(t) =

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Q: b) Use L'Hôpital's Rule to evaluate the limit L. e2x lim X→ ∞ x²

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Q: 1 19 9. -10 -k Consider the matrix it corresponds to an augmented matrixial representation of a…

A: To find for given conditions of alpha and k and the system have how many solutions.

Q: Find ▽ x (▽xF) if F(x, y, z)=10xy j+ 10ryz k.

A: The value of ▽ x (▽xF) is (10 + 10y)i + 10xj + 0k

Q: Find the volume of the region enclosed by z = 1 – y? and z = y² – 1 for 0 < x < 21. V =

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Q: dy x+3y. dx 2x

A: First order differential equation :  Consider the first order differential equation…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y³, P(4,…

A: Given :f=x3-y3

Q: Find the volume of the solid generated by revolving the region R bounded by the graphs of the given…

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Q: E. Find the point of intersection of the plane 2x+3y+z 5 and the line x- 3 y+4 z- 1 1 II

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Q: Evaluate the line integral / (3x + 9y)dx + (4x – 5y)dy along the curve C : x = 10 cos t, y = 20 sin…

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Q: 1+9n² b) Determine whether the sequence a, = converges or diverges. If it converges, %3D 1+n find…

A: The given sequence is: an=1+9n21+n2

Q: Find f. (a) f'(x) = 3x4 – 5x? + x

A: Given query is to find the function.

Q: Find curl (4z i + 5x j + 3y k). Exact number, no tolerance. curl (4z i + 5x j+ 3y k) = (i )i + ( )j…

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Q: S (In 2x2 dx

A: Evaluate the integral :    ∫ln 2x2 dx

Q: Consider the following algebraic functions. y = 1/x2 y = 0 x = 2 X = 7 Sketch the region bounded by…

A: Given :   y=1/x2 y=0 x=2 x=7

Q: f' (x) = 3x* – 5x² + x

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Q: Calculate x sin(y)dxdy

A: On solving this we will get

Q: Find the particular solution of the differential equation that satisfies the initial condition(s)…

A: topic - differential equation

Q: Find the unit tangent vector to the curve at t r(t) = t°i + 3t?j, t= 2 T(2) =

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Q: Find V · (V × F), if F(x, y, z) = e2²i+ 7xe'j – 2e²k. - V·(V × F) =

A: Solved below