dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

Q: dy O Find , if y = In(7x² + 5y?). dx

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Q: dy Find if dx 3 5, %3D V (2? + 7)* dy dx

A: The given function is y=x2+735

Q: dy If x? + xy – 5y = 5, then at the point (2, 1), dx ||

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Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: dy =2x – 3 and y=2 when *=3. What is the value of y when *=4? dx Suppose

A: We have to find y when x = 4

Q: dy Determine = given y = (7u² – 2) if u %3| dx

A: Topic:- derivatives

Q: dy + 3x?y = x', x?, y(0) = 2. %3D dx

A: The given differential equation is  dy/dx + 3x2y = x2 y(0) = 2

Q: dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

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Q: d?y dy 2- 8y = 8x? + 20x + 2, at y(0) = 0 and y(0) = -8 dx? dx

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Q: 5. Determine dy when x = 4 and dx = 0.03, given y = (4x – 5)3, a. dy = 42.34 b. dy = 44.53 c. dy =…

A: Data given in equation form  X=4 dx= 0.03 dy find out

Q: y*)dx + By xdy = c 4- when x=4, y=

A: The given differential equation is a Bernoullis Equation . First change the differential equation to…

Q: dy If y = 3e5 . Find dz

A: Given query is to find the derivative of the expression.

Q: dy If y = vu² + 1 ; u =+x?, find dx

A: Derivative of the function

Q: dy Find if dx y = 4u? 6u + 5 and u = 4x + 5

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Q: Determine dy/dx given y = (7u- 2) ifu = /a + O a. 3 497 O b. 349z 7 3 492 d. 3V19r?

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Q: dy Find if dx V(2? + 7) 5. 3 dy %3D

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Q: dy Y+2 dx y(1) = 5 → y(e) = ? (use y=ux substition) A) e B) 3e C) 5e D) 7e E) 9e

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Q: Q3/ Evaluate Vy +2 dy dx ba 2.x

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Q: d y then is dx? x=1-8t Suppose y = 5t* +2

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Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: dy If y = utand u = 3x6 + 3, find when x = − 1. dx dy dx x = -1 = (Simplify your answer.)

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Q: dy =2x+3 and y=3 when *=2. What is the value of y when *=>? dx Suppose

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Q: dy Given y = u? - 1 and x = u2 + 1, find dx

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Q: Srind dy /dx for X-(0)(cas20+ Osino andy

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Q: Determine dy when x = 4 and dx = 0.03, given y = (4x – 5)³. а. dy 3D 42.34 b. dy = 44.53 с. dy 3D…

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

Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: dy If y = sin(5x – 7), then dx II

A: Given that, y=sin(5x-7) We have to find first derivative of the given function.

Q: d ?y + 5 dY + ol x2 6X=0 dx

A: This is a basic differential equation question

Q: If xey = yex, find dy/dx and d2y/dx2 for y = 1.

A: Given: xey=yex for finding dydx at y=1, we differentiate given expression with respect to x so,…

Q: If y = dy e7x+13 then- dx O 13e7*+13 O 8e7x+13 O 7e7¤+13 O 9le7¤+13 O 6e7x+13

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Q: d?y 6. - 2 +y=3e4x, given y(0)= dr2 dy dx 1 and y'(0) = 4 3 2/3

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Q: dy If y = e", then = nen-1 dx A) True B) False

A: Let's find.

Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

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Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

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

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Q: dy If dx and y (2) = 5, then

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Q: dy If = 3x2 – 1, and if y= –1 when X=1, then Y= dx

A: We need to integrate the given to solve it

Q: dy If y=/xsec 1(x²), then dx

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Q: dy Find for the following expressions: dx a) y = x5 In(3x)

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Q: dy If y = (x- 1) e* then dx2 %3D O A.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: dy If y = e4a+19 then dx

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Q: dy Find , if x + y = 9xy. 4 %3D dx

A: We use implicit differentiation for this Question

Q: H.W: Evaluate ,8-2² y² dz dx dy

A: Since you have posted multiple questions, we will solve first question for you. If you want any…

Q: dy If = (y – 4) sec? r and y (0) = 5, then y dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5

Q: dy If dx 14 and y = 27 when x 1, find y(2). 3x-2 A) 27 26 B 27 40 27 27

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