f(x, y) = = /25 - (x - 2)² - y²

Q: S √x²-25 dx X

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A: Consider

Q: Evaluate the following * [: 2x(4x² – 3)³dx (4x²-3)6 +C 24 O (4x² - 3)-6 24 +C (4x²-3)6 24 O " (4x² -…

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Q: зи Evaluate the integral: So So So u s2 +u2 ds du dt

A: Given: I=∫02∫0t∫03uus2+u2dsdudt   As we know the common integral. ∫11+x2dx=tan-1x+C

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A: To evaluate: Integral

Q: An integrating factor for the linear differential equation y' + = x is Select the correct answer. O…

A: This question can be solved using the concept of linear differential equation. Note: elna=a

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A: Given ∫-13∫02x2-y22x+ydudt Since x2-y22x+y is constant with respective u and t, we take constant out…

Q: 3 S S t² etu du dt

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Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: 2 ³₁²₁²[z³(x + y)³] dz dy dx -4 J

A: In this question we have to solve the given triple integral.

Q: •π * (sin³ x)√1 + cos x dx 2

A:

Q: 5. I. Evaluate each determinant. -2 -1 4 2 5

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Q: Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical…

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Q: Z4 e: 2₁₁ (4x²yz - ) dz dy dx 1 4

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Q: Evaluate the line integral y dx + xy dy where C' is the rectangle with vertices (0,0), (5,0), (5,4),…

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Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: Evaluate the integral: S/2 sin(4t - u) du dt

A: The integration of the double integral is Sin(4t-u), u from 0 to t, t from pi/2 to pi.

Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

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Q: hi what is the simplified final answer of this?

A: Given problem:-

Q: Evaluate: £²₁² [(*²₂²²] du dt - x+y

A: To integrate

Q: 62. y" +9y=e* cosx

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Q: 5x -2 3 Evaluate: fffdz dy dx 2 2

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Let's find area of region bounded by given curve and y axis.

Q: -X y" + 2y² + y = €²² ln x e^

A:

Q: Find the area of the region above the curve y=x²-6, below y=x, and above y=-x.

A: Let's find area of region.

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: 4. The value of fx sin(x²+3) dx Acos (x²+) + C C. cos (x²+)+C B. -cos (x²+)+C D. -cos (x²+) + C

A:

Q: -3 -t Evaluate the integral: Soft²eu du dt е

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Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: Evaluate: 3₂(4x²y - z³) dz dy dx

A: On solving this we will get

Q: ³₂²₁²[z³(x + y)³] dz dy dx

A:

Q: Find the area of the region bounded by the curves 1 y 5, y = 4 and the x-axis using vertical strip.…

A:

Q: 2 t √3u Evaluate the integral: №³4 524 4²2 ds du dt s²+u²

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Q: cln s Evaluate the integral: St² főr teu du ds dt

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Q: aluate the line integral y dx + xy dy where C is the rectangle with vert 0), (5, 4), and (0,4).

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Q: Find the y coordinate of the center of curvature of the parabola at (2,2). O -7 -6

A: In this question we have to find the y coordinate of the center of curvature of the parabola at (2,…

Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using…

A: Explanation of the answer is as follows

Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s s6 3

A:

Q: The following will make the limit of a certain rational function of a as z approaches negative…

A: As we know tha rational function is of the form  P(x)/Q(x)

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 12 y² +1

A:

Q: Evaluate the integral: -2e 2е π/3 ₁² /³ tlnu tans ds du dt 0

A: In this triple integral we first integrate with respect to 's' then with respect to 'u' and in last…

Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: Suppose ƒ(x) = 2¹². What is the lim ƒ(x)? 700 O A. It is a vertical asymptote of f. OB. It is a…

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Q: Be w = (u2 + v2)3/2, where u = e-t sin(θ), v = e-t cos(θ), calculate: ∂w/∂t and ∂w/∂θ

A:

Q: 5- A. 3. C. +X+ P 上一站 -- V -4x 一 --年 -c + c -c

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

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Q: v²dx + x(x + v) dv=0 O xv² = c(x+2v) Ox²v² = c(x + v) X V 2 Oxv² = c(2x + v) O xv² = c(x + v)

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Q: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx