Determine the general solution of (cos x cos y - cot x) dx (sin a sin y) dy, Show your solutions and simplify your final answer. Whenever possible, simplify by removing the log function. Simplify also your constant, e.g. C=c+1, C=6c, C=e°, C=c2, etc. Write your answer in a clean sheet of paper and upload an image of your solution.

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Q: 1. Simplify. a) log, V16 b) sin- (cos) c) sin 2cos- (-)) d) e 3lns

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

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Q: Solve the following equations. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

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Q: (a) Find if y(x) = log3(729) sec(In(r)) + In()r+ e

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Q: Z1 = 4- j4 Z2 = 4 + j3 %3D 1.Evaluate: log(cos(Z1)) 2.Evaluate: tan(Z2) 3. Find all solutions of e^z…

A: Note: Since we are can solve at most three subparts in a question, we have solved the first three…

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Q: cos²0 e6z log,(0) nd det. M where M = logo(1) e(m/2) sin(2n) sin? 0 log(4) In e-1

A: on solving this we get

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Q: (a+b 12 a log (a cos 0+b sin 8) do=r log a>0, b>0. 2

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Q: a. In cot(14i) b. (3er) c. z²2z = log(-2), Calculate the value/s of z d. (1-21)7

A: Given: Let's determine the given in  Rectangular form, a) ln cot1-4i b) 3e34πii c) z2-2z=log-2,…

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Q: a. In cot(1 – 4i) i b. (3et) C. z2 – 2z = log(-2), Calculate the value/s of z d. (V1– 21)7

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Q: 2. Use Newton-Raphson method to solve x - cos x = 0, [0, π/2].

A: Given that, the function is fx=x-cosx,x∈0,π2. It is known that, the formula for Newton Rapson method…

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A: first we differentiate both separately and compare the solutions

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Q: (c) Solve log, (a²) + log, (†) + log, (3) = log (x), for x, exactly. (d) If 0 < 0 < 27, please solve…

A: Part (C) Given

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A: Using logarithmic function

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Q: dy Find given the following. Do not simplify your answers. dx Va cos a etan(x³) + log;(e7 – x) (a) y…

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Q: a. In cot(1 – 4i) - b. (3e*") C. z2 – 2z = log(-2), Calculate the value/s of z d. (V1– 2i)7 i %3D

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Q: /2, log (a cos 0+b° sin 8) do= log 'a+b 2 a>0, b>0.

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Q: Solve the equation for eif 0° se< 360°. cos e- 3 sin e=. 3 210°, 270° 60°, 120° 30°, 90° O 120°,…

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Q: Solve for x in the interval 0 < x < 2n. log, (sin (x)) + log, (cos (x)) = 2 O a) a = 5 37T b) x= 2…

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Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

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A: Given : ∫0π4x72+cos2xdx

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Q: dv (b) Find v = log( log(*/1-cosx ), Where n=666. du' 1+cosx

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Q: Find y'. Show the step-by-step solution. Simplify your answer. 2x 1. y = In 4x²-1 2. y = log(tan x³)…

A: The quotient rule for derivatives is expressed as ddxf(x)g(x)=g(x)f'(x)-f(x)g'(x)g(x)2, whereg(x)≠0…

Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

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Q: 10. r(0) = log,(nsin® – sin" 0)

A: The question is taken from the calculus and the subtopic is derivative of the function so we have to…

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Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: a. In cot(1 – 4i) b. (3e) i C. z2 – 2z = log(-2), Calculate the value/s of z d. (V1– 2i)7

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Q: sunrise Solar hoon sunset It is often necessary for calculation of daily solar radiation to have the…

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Q: Determine the numerical value of the following expression without the use of a calculator: 100 1000…

A: To determine the value of the given expression, we will evaluate the value of the expression…

Q: Consider the following  cos(x) + sqrt(y) = 9 A: Find y' by implicit differentiation B: Solve the…

A: Given cosx+y=9