1 dy 20. If y = (t2 + 2)² and t = x2, determine dx %3D

Q: dy Q1: - find ay/dx for y = 5cscx3

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Q: dy and d²y if x = t and y = 3. Find dx dx? 1+t 1+t

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Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

Q: S16 -X2 メー dy dx + x?+yz

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Q: Find dy/dx.x = 2/ty = √te-t

A: We find dx/dt using exponent rule.

Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: dy is: 1 dx Given y = x²e_2x

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Q: d²y Find particular solution for + 4 + 4y = 3xe dx dx

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: 6. f(x, y) dx dy

A: Double integration and area of integration

Q: 6) Find dy given e 3y = y2 + x. opr dx

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Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: If x =t-1+5 and y 6+t-2 then dy at t = dx is

A: topic - derivatives answer is 4

Q: If x = t - t3 and y = t2 – t4, the value of at t = 2 is dy dx

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Q: Q2. Find of y = 4x/x + Vx at x = 1 ? dx

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Q: ) L -dx (x² + 1)²(x² + 2x + 2)` sen? t dt, for 0 <b< a. a+b cost

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Q: : x d²y dy dx² dx + +my = 0, given that

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Q: dy Find for x'y' +e2x = -3e" -1. dx

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Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

Q: dy Find if dx y = 7u + 2 and u = 9x-3. dy dx Enter your ar

A: Given:    f(x) = 7u + 2       u = 9x - 3

Q: d'y 10ay+25y = 0. dx? 1. Find the general solution for dx

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Q: S S* e*(y + 2z) dz dy dx

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Q: 1² + 3x + 4 If t = (r² – 1) what is dt/dx?

A: We have to find derivative

Q: Q2. Find 2 of y = 4x/x + Vx at x 1? dx

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Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: Find dy/dx. x = 3√ t, y = 4 − t

A: Given- x=t3,y=4-t To find- dydx Concept used-  dydx=dydtdxdt

Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: for

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Q: 1 d'y dy + 5y = 0, subject to y(0) = 0 and y'(0) = 40 dx 4 dx2

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Q: If x =t-1+5 and y=6+t2 then dy at t dx = 15

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Q: dy at t = 2. dx If x = 5t +4 and y = 3t° -7, then find а. 4 b. 1 с. 2 d. 3

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Q: 3. Find dx dy d²y and y 1+t and if x = %3D dx2 1+t

A: Given: x = t1+t, y = t21+ t  To Find: dydx, d2ydx2

Q: dy + 4y dx 31 with y W differen ナけ:

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Q: dy The solution of dx with initia y

A: Introduction: Separation of variables: This method is only practicable if the differential equation…

Q: f x = 3/t and y = (2t + 1)/4, find (dy)/(dx)

A: Concept - derivative of x and y with respect to  and then divided.

Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

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Q: dx dy 1 (a)

A: This is a problem of partial differentiation and Implicit function theorem.

Q: x dx dy _dy V4 +

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Q: dy 3. Find , if y = x² In x dx

A: In the given question we have been given a function and we have to calculate its derivative.

Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: dy H.W. find dx 9. y = (2x + 1)

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

Q: dy Find and simplify as possible: e*y + In xy = 3 dx

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Q: Find dy If y=1-t and x2 dx

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Q: Find dy/dx and d 2y/dx2 if x = 1 + t 2 and y = tln t.

A: Given: x=1+t2y=t ln t   Chain rule for derivative: ddxf(g(x)=f'(g(x)).g'(x) Product rule for…

Q: Find dy/dx in terms of x given that x = e3t, y = e2t+3

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Q: Find the derivative

A: To get the y' or dy/dx,  differentiate the given equation with respect to x on both the side.…