Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: find the length of y=√x² from x = 0 to x=12

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Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: y = secx means where x and sys

A: Given, y=sec-1x

Q: ☺ cosh"z= Loy {2+/2

A:

Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

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Q: Find dy y = e fin (52) for り =

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Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: 3. Find y': y = 5sin3x

A: The given function is, y=5sin3x We need to find the derivative of the given function. The derivative…

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: -x2

A: the given differential equation is: xydx+e-x2y2-1dy=0 we have to solve the given differential…

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

A:

Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

Q: y = x - 2 y InU

A: The slope intercept form of the line is given by y=mx+b where m is the slope and b is the y…

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

A: Solve for the angle X

Q: Inz xe*dy decx

A:

Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: x?dx V1-x6

A: 1). To evaluate the integral: ∫x2 dx1-x6 Solution: Let substitute t=x3. dtdx=3x2dt3=x2  Substituting…

Q: x2dx ²dx V4-x2

A:

Q: Calculate for w = xyz. By

A:

Q: 4x (b 2x'e xp

A:

Q: nd the antiderivative x² + 2x -dr. (r² + 1)'

A: Put x2=t then integrate.

Q: Find the antiderivative

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Q: ,2

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Q: dy 1 if y = dz 219

A: Given that: y=12x+9

Q: at the point P(x, y) = (-4.5, –16.73), determine the values of 0, and 0,.

A: In the given diagram below,   We have to determine θ1  and θ2 . In ∆OPB   Using Pythagoras…

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

A:

Q: Evaluate f (; - 4) da

A: Given : ∫1x3-4dx

Q: 1. S (7x³ + 4x² ) dæ

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Q: Pr Sulve for x 2/3x -4/+5 =27

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

A:

Q: ,2 Vx3 + 2dx

A: Consider the given: ∫ x2x3+2dxApply u-substitution:u=x3+2∫ x2x3+2dx=∫u3du=13⋅∫udu=13⋅∫…