a. Find 9 of the following. dx dy 2. y = (V4x – 3x)' 3. у%3D (4х — 7)11 (2x + 5)15 4. y = xVx(x? – 22)7

Q: dy xe dx to

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

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Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt…

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate…

Q: Ɔ) = 1, the solu %D dy + 4 + 4 dx

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Q: Find dy/dx at the given point. 3x' + 4xy = 1 at (-1, –1) O a. 4/5 O b. 5/4 Ос. 1 O d. -5

A: Using  differentiation of product rule,

Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: Find of the following. dx Įx = VI-t ly = VI+t 1. 3t 1+t3 2. 3t2 y = 1+t3 t + -1

A: This question is based on Derivative of parametric function.

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

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Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: dy 5. If y = e+1 sin(1 – a2), then Find dx

A: We need to find the derivative of y=e3x+1sin1-x2 We will use the product rule to find the derivative…

Q: Find e dx approximately using Simpsons rule with n 10.

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Q: Use this information to evaluate 1 (1- e)| dx %3D x=1 et - 1

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Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: FIND DY/DX OF THE FOLLOWING 6. y=sec'Inx

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Q: 4. Lx? + 2x| dx integralinin sonucu aşağıdakilerden hangisidir? D) 25 B) 20 8 A) 10 E) 8 3 3 3

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Q: dy 3- Find dx for the following function: A- y = ecosv3x-1 B- y = x². secx

A: (a) Evaluate dydx of the given function as follows.…

Q: dy Find dx if y In(x2 32)

A: Given:

Q: dy is equal to- dx If y = !, then the value of +3 V1 +y* V1+x

A: Introduction :

Q: Suppose a E R, where a>0, a + 1. What is dx A a* B xa*-1. In(a) ха xa*- a*. In(a)

A: The objective of the question is derivative of given function.

Q: If y = √ 1+x3, calculate dy/dx. What is dy/dx x=2

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Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −4x2 +3x+4=y2…

A: We have to find dy/dx of curve  (implicitly).Curve equation is given by:

Q: 2. ye* dx + e*dy = 0

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Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: Given y=−3cosx, what is dy/dx?

A: y=-3cosx

Q: dy Given that y = In 9x, find dx dy dx

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Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

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Q: -6, find dy dx Given that y = ln

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Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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Q: The numerical value of xe dx is

A: Use Integration by parts

Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: SK S, (In y)-1 dx dy = e – 2 0.718 In² y cIn y 31.

A: We have to solve given double integral. ∫1e∫ln2ylnylny-1dxdy

Q: 4-3x dy dx X,

A: its a multiple integral based question.so 1st we integrate with respect to y and then with respect…

Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: -2 dx 0 (3+x)² 2

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Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

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Q: If y= cose* then dy dx 11

A: Solve the given

Q: dy 7- for csch e is equal to: dx de de a) csch e.cothe dx b)- csch e.coth e e)- csch e.coth e dx

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Q: I = Si S (x² + y³) dy dx.

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Q: 1- y? 1+ y 4 06: If x? dx Show that 1 %3D ,2 dy レアス+1.

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