3. (D - 3D? + 4)y = 40cos2x + 6

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A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: What is the derivative of y = x cos"'(x²)? dy (VI-2²' ) cos' z²+21² dz (VI-zª ) cos' z² –2=² (VI-z4…

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Q: The second partial derivative O f(x•g]=y'sinx

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Q: 3. Determine the derivative of y=7 with respect to x. Enter your next step here dy dx ab +- JT 00 ()

A: Given y=7

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A:

Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

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A:

Q: find dy/dx of each equation using implicit differentiation. a. y4 -2y2x2 + 3x2 = 0 b. (x + y)3 =…

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Q: (e) y = (x³ + 1)² () y = (x² +5)³

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Q: 5. In rectangular coordinates verify that V · V x A = 0 where A = xyz(ê+ ŷ + 2) by carrying out the…

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Q: ntial equation dy 1 x>0 + 2y = 1- dx

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Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

Q: OC Find the derivative of the function y = dy dx dy 8 dx dy dx dy = - 8 x-4/5 ∞ 188 5 8 x-2/5 x 5²…

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Q: Linear Non-Homogenous – Variation of y" + 4y = cos 2x parameters

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A: Let's find.

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A: Given equation is x+y2=1. To find second derivatives d2ydx2. Solution: Power rule of differentiation…

Q: Second derivatives Find d2y/dx2.

A: First derivative is the rate of change in y w.r.t x, and Second derivative is rate of change in dydx…

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Q: Find the derivatives of the functions y = z sec-1 z - √z2 - 1, z > 1

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Q: SE # 2 the Indicated derivative. 7. f" (x) for f(x) = 5x² – 14x + %3D 8. y" for y =2+4 3x-2 %3D 9.…

A: 8. y=3x-2x2+49. y=2x2-112

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A: Since you have asked multiple questions in single request.so we will be answering only first…

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Q: Second derivatives Find d2y/dx2.

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Q: 3. Find the second derivative of h(0) = sec 0. %3D

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A: Given that: y=αt2

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Q: 2- Find the derivative of y with respect to the Exercises 1-3. y 1- 6 sinh || 1 y sinh (2x + 1) 2-…

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Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

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Q: Let y = 5(square root x) Find the change in y. Delta-y when x = 5 and delta-x = 0.1 Find the…

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Q: Using Separation Variable. 1.) dy/dx = (2-y)^2 / 2(1+x)^1/2

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: