dy Find the equation of the curve whose slope is dx 3 x2 and the curve passes through the point (3, 50). +

Q: 3x2 what is the equation of the dy Given dx x³ + 5' curve that passes through the point (0,0)?

A: To find the equation of the curve that passes through the point (0,0)

Q: Q3:-Find the equation of the line tangent to the curve the point (-1,2) (y = 2x?) at

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Q: sketch & reverse then evaFrete 4- x 2 23 dy dx 4-

A: According to the given information first it is required to sketch the region of the integral and…

Q: Find dy dx II - for the function y = 17x. dx

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Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: dy Find dx = (3x - 5)(x² + 2x).

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Q: Rearrange the equation to isolate a. (*+:) d - e) = / a =

A: Given equation is a+bcd-e=f now we have to rearrange the equation to isolate a by moving the term to…

Q: Write the equation y in terms of x. That is, find the original function and determine "C". dy/dx…

A: Given Data: The derivative of the function is: dydx=24x2 The point through which function pass is:…

Q: dy dx 2 x +34-4 4メ+y -3

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Q: Find dy/dx. 1. y 4x7

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

Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: Find the value of dy/dx when x= 10.74 and y=2.74 for the given equation. y4-y2-2x3-9x =8

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

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Q: dy dx2 xp

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Q: d-y dx2 Calculate y = e¯X + e* 1?

A: Given, y= ex+e-x Differentiating both sides with respect to x we have, dy/dx = d(ex+e-x)/dx dy/dx =…

Q: dy dx at the point (-3, 1) for the equation x =y}-9y²+5 2. Find

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: Find the value of dy/dx when x= 13.49 and y=3.2 for the given equation. y+3y-3x-5=0

A: We have to find the value of dydx when x=13.49 and y=3.2 for the equation…

Q: 1- x dx 21 y =

A: We solve the given integral using Trigonometry substitutions method.

Q: The slope of the curve when x=e is y = (In 2x)?

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Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: s) Find the equation of the curve that passes through the point (3, 2) if its slope is giv dy = 8x –…

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Q: dx (XS_8)5

A: The objective is to evaluate the integration.

Q: Q4. The degree of the equation is dy d²y dx dx?

A: degree it is the degree of higher order derivative term here higher order derivative is d2y/dx2…

Q: Find dy/dx.  s = t4 - csc t + 14

A: Consider  s=t4−csct+14

Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: y Find dx2 if X = In(sint), y=1+cost when t=/6. A) -26 B) -25 -27 -28

A: We have to find double derivative at t = π/6.

Q: find d2x/dx2 ? y=sinh(2lnx)

A: To determine the second order derivative of the function.

Q: Write the equation y in terms of x. That is, find the original function and determine "?". dy/dx…

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Q: Y(Gyt-x-4)dx + 2x dy =0

A: let

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

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Q: Find dy/dx x = t2 , y = 7 − 6t

A: Given that: The parametric equations, x = t2  y = 7 - 6t

Q: Find the equation of the curve for which = 6 – 9x and which passes through the points (0, -1) and…

A: d2xdy2=6-9xor,∫(d2xdy2)dx=∫(6-9x)dxor,dxdy=6x-92x2+c1or,∫dxdydx=∫(6x-92x2+c1)dxor,y=3x2-32x3+c1x+c2.…

Q: dy = y – xy³e-2x (final answer should be in terms of y) dx

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Q: Find using the rules for finding derivatives dx y= (2x? - 6) (8x? - 9x + 9) dy dx

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Q: dy Q2 / (B) Find for the following equation dx 1+3x y =( ) (3-x) 3x

A: We can take logarithmic and differentiation.

Q: If x+y = 63, find the value of dy at the point (-1,4). %3D dx2 The value of at the point (-1,4) is|:

A: Given, x3 +y3 = 63  We have to find the value of d2ydx2 at the point -1, 4.

Q: dy Find of the equation, y= 3x- dx 1 and simplify the expression with positive exponents. 2x°

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Q: Find dy dx2 given y2- x2 = 4. Simplify your answer. %3D

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find using the rules for finding derivatives. dx y= (2x? - 6) (8x? - 9x + 9) dy dx

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Q: dy Find and simplify whenever possible dx y = a3x2

A: Given; y=a3x^2.

Q: . If x = 3t² - 2t, find the value of dx/dy when t = 5

A: The given function is x=3t2-2t.

Q: dy for the equation 6e2ªy dx 2x + y at the point where x = Find the value of 0.

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Q: find k value dx = 1

A: We need to find the value of k of the following relation.                 So,…

Q: equation in just x and y dx at t = T/3.

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.