Linearize the non-linear equation: 1. y=c+ax^n

Q: find the first and second derivatives y = 4 - 2x - x-3

A: Given: Using:

Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

A:

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

Q: Find the second derivative. y = 3x2 - V y" =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

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Q: evaluate the derivative of 3x^2+y^2x=9

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Q: FInd the derivative of y=(5x-3)5(2-x4)5

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Q: Find the derivative of * y=(2x +1)*(3x +1) 3х +

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

A:

Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) = |

A: To find - Point on the given line closest to the origin.

Q: Find the first and second derivatives of y = 2(3x³ + 5x² – 2)13

A:

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: Calculate the second and the third derivative of y = 4x 4 y": y" =

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: y=4x-4x Now…

Q: compute the derivative y = (2 + 9x2)3/2

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Q: Find the first and second derivative y=(4x3/3)-x

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Q: Find the derivative of the function. 2 + 4x – 9Vx – 10 y = 10x5 %3D - x3

A:

Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

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Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: The cubic y = ax3 + bx2 + cx + d that passes through the points (-1, -10) and (1, -4) and tangent to…

A:

Q: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

A: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

Q: Find the slope of the curve y = 2x2-3x at point (1,3) O 2 O 3 O -2 0 1

A: We   have to find slope

Q: The equation of a curve is y = 4x³ + px², where p is a positive constant. Find the stationary points…

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Q: Find the 3rd derivative of y = x-1)² 6 %3D

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Q: Find the second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (x, y) =

A:

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x,y)=

A:

Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

Q: find an equation of a straight line tangent to the curve y=e^x and passing (0,0).

A:

Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

A:

Q: -y = a(10z² –8z+7)

A: Using composite derivative formula.

Q: Find the first and second derivatives. y = 5x² - 15x – 6x-2 %3D

A:

Q: Find the first and second derivatives of y = 14e* - 2x5

A: We have to find out first and 2nd derivative of the given function. Here, I am attaching complete…

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the second derivative of y = -5 %3D -

A:

Q: Find y" by implicit differentiation. 5x³ + 2y3 = 7 y":

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Q: y = Vz3 -4z-2 %3D

A: Given: y = z3 - 4z - 23   To find the derivatives.

Q: Find the derivative. y= 4x²e- x- y%3D4X

A:

Q: Find the first and second derivatives. 2x +7 y 3D 3

A:

Q: y 1-

A: The solution is given below in the next step:

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

A:

Q: Find the first and second derivative y = (4x3 /3) -x

A: Find the first and second derivative y = (4x3 /3) -x

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.

Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.