Qa: Find integration for the following functions: - c- f cos(lnx).dx

Q: Find for the following function: dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx) 3- v = r?y at r = 1

A: AS PER GUIDELINE WE HAVE TO SOLVE THREE SUBPARTS

Q: Folve the integration J= (x cos 2x dx, 8

A: In the given question, the concept of integration is applied. Integration Integration is a method of…

Q: Find the differential of each function. (a) y = tan(7t) dy = 3 - v2 (b) у 3 3 + v2 dy =

A: topic - differential equations

Q: Exercise: Answer the following by finding dy/dx. 5sin-1 # – cosh x (a) y = Vsec4 x + In 7 4 (b) + In…

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Q: c. Integrate the following function using integration by parts. į fxe* dx Inx i. dx

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Q: Find the approximate value for f(r, y) = sin(x7xy + ln(y)) at (0.03, 1.04). Take a = 3. %3D

A: We have to do two variable linear approximation here and find the required expression first.

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: Find the total differential. w = = x?yz° + sin(yz) dw =

A: In partial derivatives, the total derivative approximates the function with respect to all of its…

Q: Evaluate the integral (Trigonometric Substitution) x*dx J (x² + 4)² 2

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Q: (b) Calculate fe" con(r2) dz using integration by parts as many times as necessary.

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t + 32) sin(t)dt

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Q: Which of the following uses integration by parts? (1) fxcosx'dx (3) fxlnx Inx d (2) fxe"dx (4) A (2)…

A: We have to find out

Q: dy sin?x -- 2у сot х %D dx cot x is The integrating factor of the linear DE of order one

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Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x =…

A: We know: lim∆x→0∆y∆x = dydx…

Q: Find DE using variable separable cos/dx + 1/ydy=0

A: Given that: cosxdx+1ydy=0

Q: 2 i i (e*+2r+1)dxdy (e+21+1)d.rdy 0号一1

A: See attached file for a step by step explanation to find the given integral by changing the order of…

Q: B. Find y). 1. y = cosh?x 2. y = x tan-1 x - In vx2 + 1

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Q: b) Find fo dy for y = Vt-1 t = sec?x sint

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Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: Find the differential of each function. (a) y = tan 7t dy = %3D 5 - v2 (b) у%3D 5 + v? %3D

A: we have to find the derivative of the following

Q: dy Find for the following function dx 5 cos x y%3D 1- sin x

A: The given function is, y=5 cosx1-sinx

Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

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Q: [ to y²-Xy flo dy 2

A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: Cos° x dx3D J7/6 Vsin x

A: Given that: ∫π/6π/3cos3xsinxdx

Q: Find the differential of each function. (a) y = tan(v3t) dy = 5 - v? 5 + v? (b) y dy =

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Q: Find f. (Use C for the constant of the first antiderivative, D for the consta f"'(t) = Vt - 3 cos(t)…

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Q: Find dw/ dt at the given value for the following functions 1) w=x² + y²₁ x = cos(t), y = sin(t), at…

A: Sol

Q: [[ dx dy Q4 )Evaluate by changing the order of integration

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Q: Q3) For f(x,y) = Sin(x,y) find fryxy at (1,–). %3D

A: Given query is to perform indicated derivative operation.

Q: Differentiate the following functions by finding dy/dx: v = (1+ sin*y)

A: It is given that v=1+sin4y32. Here we have to find the value of dydx. Differentiating given equation…

Q: Find f. (Use C for the constant of the first antiderivative, D for the con f'(t) = Vt - 6 cos(t)

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Q: find the integration of f x'e* dx

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Q: Write the general antiderivative. (Use C for the constant of integration.) 29e2.9x dx

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Q: Find for the following functions: - dx 1) y = (cos x)V 2) y = sin x* + e!nx 3) y = 7cos/2x+3

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Q: of and dy For the function f(x.y) = sin (2x - 5y), find dx of of

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Q: Q10/Evaluate the integral: sin(y) dy dx

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Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.

Q: Find the differential of each function. (a) y = x? sin(6x) dy = (b) y = In(V5+2) dy =

A: Taking derivative with respect to x,   Use the product rule and the chain rule,   Taking the…

Q: Q2:- change the order of integration 1- Say, 4cosx dx dy kp xp dy dx 티/

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Q: dy Find for the following function. dx y = 9 cos x sin x %3D dx II

A: Given y = 9 cosx sinx  Find dy / dx = ?

Q: file the loiIOwing using the ina egration and 7 0 8x +8 || dy dx dz in the order dz dx dy 0 -1 0

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Q: Find for the following function. dx y=9 cos x sin x dy

A: Differentiate y with respect to x using product rule.

Q: | (In x)? dx. 1. Use integration by parts.

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Q: dy Find for the following functions dx x² + /siny – y² = 1

A: The objective is to find the derivative of the given function.

Q: Given y is the square root of x. Find dx/dt when y=2 and dy/dt= 1.75

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Q: Perform the Integrations sin(r)dt

A: To Find : ∫sin(t)dt

Q: Differentiate f(t) = (e + sin(2 – t))* %3D 29.

A: derivative of xn  = nxn-1 derivative of sinx = cosx derivative of ex= ex Derivative according to…

Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…

Q: e-* dædy by changing the limits of integration appropriately. y/2 20. Evaluate

A: To evaluate the value of double integral.