QUESTION 8 sin-1(-i) = %3D o -i log(i + /2) o i log(1 + /2) -i log(1 -/2) -i log(1 + /2)

Q: QUESTION 7 log 3i = o log,3 + i TT +i2km o log 3 + i TT i2kT o log 3 – i +i2km o log 3 + log,3 TT +…

A: For the complex number z = x+iy, we can use the formula for log z to find the answer to log 3i. The…

Q: cos e + sin 0 Evaluate : [cos 2 6 log cos e - sin 0

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Q: QUESTION 9 Log 2 -0.69 -i- -0.69 + i 2 0.69 – i- 2

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Q: Question 6 Expand log yA

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Q: QUESTION 8 sin –|(– i) = - o- i log(1+ /2) oi log(1 + /2) -i log(1 – /2)

A: Given that: sin-1(-i)

Q: Question 7 Evaluate: A B с dx (x+1) log(x+1) In 10 In [log(x+1)] + C 1 -In[log(x+1)] +C In 10 -log²…

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Q: Question 8 Solve the equation log2(x + 3) = log2(6 – x) + 3

A: Solve the equation log2x+3=log26-x+3 . Subtract log26-x from both sides .…

Q: Task 3 a) Using the laws of logarithms and exponentials solve the voltage equations across a battery…

A: a 1. x0.26-20.6=10cosπ3sinπ6+sinπ3cosπ6cotπ3      ⇒ x0.26-20.6=1013⇒x1.2=20.6+5.7735=26.3735…

Q: QUESTION 9 Log -0.69 - 2i TT -0.69 +i- TT -0.69-i- 0.69 i 2

A: Log(z) is the principal value of log(z)

Q: Question 5 The sine Fourier series of the function 1- cos (zr)+ cos (2zr)- cos (3zz) for the period…

A: Age here if we put -x in function  then it will come same function  it means it is the even function…

Q: Question 17 Solve for r: log, r + log,(r + 2) = 4

A: Given:          log4x+log4x+2=4  Apply log rules:       logbP+logbQ=logbPQ       log4xx+2=4…

Q: > Question 22 if y = log3 x find y' xina 01 2/xina

A: To differentiate..

Q: QUESTION 3 Solve the equation for y in terms of x. In y+9 In x = 1.3863 1.3863 y =' O y- O y=4-x9…

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Q: PROBLEM 1: Using linear approximation or using differer a. Approximate V8.01. b. Approximate log,…

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Q: Question 4 Find the value of x5 in 1 decimal places (positive value) using Secant Method (5th…

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Q: QUESTION 1 Solve 5cosh(x)+1=2 sinh (x).

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Q: Problem 4.13 Find f if f'(0) = 2 sin 0 – sec² 0 -

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Q: Question 2 d Let ar cos log3(x)) = ksin(f(x)) g(x)In3 Compute k+f(9) + g(-3)

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And ddxlogax=1xlna   From…

Q: Question 4 Use Newton's method to find an approximation of 30 (Use five iterations of Newton's…

A: We have to use the Newton's method to find the approximation of 303. The Newton's method is also…

Q: Question 11 tan - (i- 3) = || + i0 + 12KT Log -2 Logi- + i0 – i2kTt Log - i0 + i2k T - Log + i0 +…

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Q: QUESTION 4 Find all possible solutions of the equation sinh z= -4i.

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Q: Scenario A simply supported beam is subjected to two vibrations along its length, emanating from two…

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Q: log, (22 + sin æ) – log; (a - cos a) 9

A: Given: log5x2+sinx-log5x-cosx we have to find ddxlog5x2+sinx-log5x-cosx…

Q: QUESTION 7 sin -' (-i) = -i log(i + /2) -i log(1 + /2) i log(1 + /2) -i log(1 – /2)

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Q: 1-3 log (71) Find dy dx

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Q: Question 4 Solve Log 0X=3 oX =30 o X=1,000 0X=10,000 X3

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Q: Question 5 > 1. Combine log-(6x + 11) – log;(2x – 12) into one logarithm. 2. Solve the equation log;…

A: We have to solve the following given problem

Q: QUESTION 7 log 3i = o log 3 + + 12KT o log 3 + i TT - 12kT o log 3 - i + i2kTt o log 3 + i TT + i2kt…

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Q: Question 3 tan -1 (i – 3) = Log i-1- i0 + i2kn 2 3 i 2 Log i-1+ i0 + i2kt 3 O -2 2 Los i-1+ i0 +…

A: Simplify the expression: tan-1i-3

Q: The principal value of tan-' (2i) is :Select one 1 +i-log, 3.a 2 1 loge 3+ i .b c. None of these 1…

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Q: QUESTION 8 sin -1(-i) = o -i log(i + /2) -i log(1 – /2) o -i log(1 + /2) i log(1+ /2)

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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: Question 28 dx Evaluate: Tx (x+1)log(x+1) 1 A -log² (x+1)+C 2 1 ® --In 10 log² (x + 1) + C B 2 (C)…

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Q: Question 5 1 pts – 2x+5 To find 4 (In(-2a+5 we should use the logarithmic property. That is to…

A: We use the logarithmic property log(m/n)=logm-logn

Q: Question 6 Show that Newton-Raphson formula for finding pth root of a positive number N is given by…

A: 6. Let  pth root of a number be x=N1/p. Newton Raphson formula finding the root.…

Q: QUESTION 8 Log 2 0.69 - i 2 -0.69 +i 2 -0.69 - i -0.69 – 2i II

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Q: Problem 1. Let H, denote the n-th harmonic number. Prove that H, + H-1++ H2 + H1 = O(n log n).

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Q: Question 1 Let f(#) = 4 log; () f'(z) = f'(6) = Round to 4 decimal places if needed. Submit Question

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Q: QUESTION 3 Determine the value of a that satisfy the following equation; sinhx = In(3 – a²) – In(x +…

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Q: Question 5 Find the ninety-ninth derivative of the function f (x) = cos(2x). O f(99) (x) = 2}00…

A: The given function is: fx=cos2x Find the ninety-ninth derivative of the function. The formula of the…

Q: QUESTION 1 Solve 5cosh(x)+1=2sinh2(x).

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Q: QUESTION 3 log432 +210925 =?

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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π/2. Give your answer…

A: Use derivative for finding the value .

Q: Question 19 If log3 (x – 3) – log: (x + 1) is expressed in terms of a logarithm with base 9, then it…

A: We use logarithmic properties

Q: -i Log TT 0.69 i TT -0.69 – 2i TT -0.69 – i TT -0.69+ i- || 2.

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Q: Question: 2(b).Use tabular method to integrate Se-3x sin(9x3 + 5x2 + 3x) dx.

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Q: The principal value of tan- (2i) is :Select one 1 +i-log, 3 .a 1 log, 3+ i- .b 2 2 c. None of these…

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