dx I = . C. (b+аx)2 1 + (x-a)k] 1 d. I = dx [x-a

Q: m. n. Sex: [ tan³ x dx ex sec³ ex dx

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Q: Find d'yldx implicitly in terms of x and y. x²y = 4x = 6 dx2

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Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: За - За - у 314 а^ За '(x² + y? ) dx (b) 2a S" L (x² + y²) dy dx Ans. (a) [" dy [V" (1² + y²) dx +…

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Q: dy Given y = x" In (2x), determine dx a.x“-' In (2x) + а-1 None

A: Please refer to the image below

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

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Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: 21 11 | {(=) dz f(x) dx = where a = and b =|

A: Given: ∫821f(x)dx-∫811f(x)dx=∫abf(x)dx   We know that ∫acf(x)dx= ∫abf(x)dx+∫bcf(x)dx We can write by…

Q: d/S Vx5 dx el S- dx, (x # 0) 2x

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Q: Q3. Evaluate : IL (2) * dy dx

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Q: 1 What is S dx? x²+2x+5

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Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

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Q: 18 Find J4 dx.

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Q: 2х-1 dy if y=f and f'(x)=sinx²,find dx x+1

A: According to chain rule of differentiation if f and g two functions are differentiable and function…

Q: Show for Re(z) > 1 -dx r(2) ((2). 1 er 0.

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Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

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Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

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Q: Q4 Find dy for all of : dx 2- y = 3 x(x-2) x2 +1 1- y = xvInx

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Q: d) S 3x²e*dx e) 2t?Vt3 +1 dt

A: evaluate the integrald)∫3x2exdxe)∫022t2t3+1 dt

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

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Q: D. Compute in terms of x and y. dx

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Q: e + d'x 2 dx dt + 5x = 8et when t-o, x -0 = 8

A: Please find the detailed solution in below images

Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: = 2-x² and f'(2) dy when x = 1. dx 8. Let y f(1+ Ju), - 3.Find

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

A: The given equation is 3x2+y22=100xy.

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

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

Q: d²y What is the degree of the DE dx2 dy 1+ dx A 1/2 с) 3 D) 2 B.

A: Authoring guidelines:…

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

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Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

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Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: 3 I= |(e* +x² + A\dx Дх 3D0, 25 1

A: Solve the following

Q: dy Find of y = e4-3x + 63x*-2 x+5 dx

A: Given  y=e4-3x+63x4-2x+5 Find dydx

Q: d y' of y= In(tanh2

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Q: 4. y dx -x dy = x + y? .2

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Q: Find dy/dx for  a.) y=xx+3

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Q: Ε. = Oy dx 47&a• (x +y)3 2

A: Introduction: The definite integration is the integration where we put limits over integration.…

Q: If ƒ x Inx dx = x² In x – S f(x)dx, what is the value of , 4f (x)dx?

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: dy when x = 1. dx If y = u" and u= 6x +6, find (Simplify your answer.) dx x= 1

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Q: dy Given x2 + y? = 2022 – 2xy, we have dx %3D O 1 O 2 Other:

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Q: Find the dy/dx for  y = (ex(2x2-1)5)/(x2(sqrt2x+1))

A: This question is based on two diffrentiation rule-: 1. Product rule 2. Quotient rule.

Q: 1. 10. dx = %3D 11. S 8a da = 2. 2. 12. S dx 美 CX 3.

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Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

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