/ Determine the length of y = (8x + 3)2 from (11)/2 s y s (27)/2?

Q: 8- (y – y) dy

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A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: السؤال الرابع: جد ناتج احد التكاملين التالي ين xe* dxdy ر 4-x² 8-2y2-2x? 1- s8-zy²-2x²,

A: Given: The given integral  is 1)∫-10∫-1y2x2exydxdy 2) ∫02∫04-x2∫08-2y2-2x2x dzdydx

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A: To find the Laplace transform of the given functions.

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Q: Find the equation bounded by x = 9yeY and x = 3y2, y = 3 and y = 9 %3D %3D Write your answer in two…

A: solution is given below

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A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: Find the shortest distance from x²+3y²=12 to the point (4,2).

A: We have to find the shortest distance from x²+3y²=12 to the point (4,2).…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Find dy. y=5th root of x^2(8-2x)

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Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

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A: From the given data

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A: Given: x-y2=3 To determine: dydxusing implicit differentiation.

Q: A few years ago, there were light sabre battles. What is the distance between two light sabers given…

A: Solution of this question is

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

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Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: Еxample 5 1 1- Vxdx ха 0,

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Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

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Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

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Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

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Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

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A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

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Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

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Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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