(sin())= d.r

Q: Find the GS of y" + y = cos x + sinx

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Q: Evaluate f x'V 1+4x² dx.

A: Consider the definite integral ∫01x21+4x2 dx to evaluate this, first evaluate the indefinite…

Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point C.0. y =1- ... A…

A: Given; ey+cosx=1 at point (π/2,0).

Q: Find y'. cot (1) y = 4 cot O A. O B. -8 csc (*) 4 9 CSC 9

A: Given:; Now,           y'=4cotx9'     =4cotx9'     =-csc2x9x9'      =4-csc2x919     =-49csc2x9

Q: b) Find the derivative of the following, 5√/2x4-1 x3 In √7x²+5 1. d dx

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Q: y= (1+ tan ()

A:

Q: y*dxdy V2 y у?)2 2 3/2 (x² +

A: Here we have to evaluate I=∫01∫0yy2dxdyx2+y232=22

Q: Find the indicated derivative dy/dx 3.) x+xy+y=1

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

Q: 2. Differentiate. f(t) = et sin(2t)

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Q: sin(In x) dx

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Q: Pls help ASAP

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Q: 6. cos-1 Vx dx

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Q: 2 Find the x-intercepts of y = 2 sin x + sin x – 1 on the interval [0, 27). %3D

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Q: dy 2 3 ...2 C05X +sinx...y.-(4x+5). y. ---

A:

Q: de 8)

A: we have to substitute 3x = u

Q: Use implicit differentiation to find 20 27 Ans./ of the following curve at the point (2, 3). dx2 2x³…

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Q: Jx' sin x dx

A: we need to evaluate, ∫x2 sin x dx this integral can be done by integration by parts. ∫u·v dx = u·∫v…

Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

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Q: d*y (3x3 – ) d*y 6x3 +

A: Given function is, y=3x23-6x3+x53then differentiating w.r.t…

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…

Q: Evaluate sin 2t dt. t 8.

A: