a sin(x + y); dA, R: 0

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A:

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A: A detailed solution is given below.

Q: 2. tan 0 sec 0 do

A: Use integration by parts

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A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Note that : Curl of the vector field describes it's rotation.

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A:

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A: for this problem, we can solve this by using general implicit  differntiation.

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A: NOTE: Refresh your page if you can't see any equations. . ...................(1) substitute…

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A:

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A: For relative extremum f'(x) = 0

Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

A:

Q: 1. Find the absolute extrema of the function f(r) = e sin r-sin r+cos z in the interval [0, "]. %3D

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Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

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A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,…

Q: How do you solve this?

A:

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A: Find the value of x

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Q: 4 Find dy/dx for: y = sec?x- tan²x b- y = sec -x) C- y = sin(tan(3x))

A: It is asked to differentiate the following functions with respect to x: a) y=sec2x-tan2x b)…

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A: Product rule of differentiation:…

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A: This problem based on application of derivative.

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: Given tanh(x)+ tanh ¯' (y) = 1, show that, 1- y? 1 – x² dy dx

A: Formula,ddxtanh-1x=11-x2Note- Since multiple questions are asked, I am answering the first question…

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A: Given query is to find the partial derivative onnf the expression.

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A:

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A: Solution

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

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A: To solve the given integral

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

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A: Given

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A:

Q: dy - y tan x = 10 tan x dx ution of y(x) using two different techniques. Hint: tan x dx = - In(cos…

A: We have to solve given problem: First method:

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A: