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 + i2kT 2 Log i-1+ i0 – i2k O 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: Question 7 1. Write an expression equal to log;(6) using only base-2 logarithms (i.e. log;). 2.…

A: (1) log5(6) = log2(6)/log2(5)  (2) log7(5) + log7(6) = log7(5x6) = log7(30)  (3) log3(20) =…

Q: QUESTION 8 log 3i = o log 3 + i + i2k Tt o log 3 TT – i log 3 + i TT -i2k T log 3 + TT +i2k

A:

Q: I If the equation ellx- 21+ 6 - 2 has four solutions, then b lies in (a) (log 2, – log 2) (b) (log 2…

A:

Q: QUESTION 4 Suppose the functions f, g, h and l are defined as follows: f (x) 4x² – 5x + 1 9 (x) 2,…

A: The domain of the function is all the possible values attainable by x or the independent variable of…

Q: Question 17 1 Point Evaluate: / (3*-e") de A (3-e)*. In(3-e)+C e*+1 +C x+1 3*+1 x+1 3* -e* +C In (3)…

A:

Q: QUESTION 4 Simplify log 8*+ 1 a. 8 b. C. d. x +1 a) b) c) d) МacВook Air OOOO

A:

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

A:

Q: Solve  -log base 8 (2) + 5 log base 8 (2) + (1/2) log base 8 (16)

A:

Q: log(2 – 3i) = 2.56 -0.98 i+i 2kTI O -2 2.56 -0.98 i +i 2kn 2 2.56 -0.98 i + 2kT 2 2.56 +0.98 i +i…

A: log(2-3i)

Q: Question 1 A body cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take…

A:

Q: Question 15 Fill in each box below with an integer or a reduced fraction. (a) log, 32 = 5 can be…

A: Solution are as follows

Q: * Question 3 Which of the following is equivalent to the equation below? 243 = 3 log3 a = 243 A OB…

A:

Q: QUESTION 4 Suppose the functions f, g, h and l are defined as follows: f (x) 4x2 – 5x + 1 9 (x) V2-…

A: Since you have posted a question with multiple sub-parts , we will solve first three sub-parts for…

Q: Question 21 dx Evaluate: S (x+1) log(x+1) (A) In 10 log² (x + 1) + C 2 B In[log(x+1)] +C In 10 C…

A: We need to evaluate integral.

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: Quèstion 7 log(2– 3i) = 2.56 +0.98 i+i 2kTt 2.56 -0.98 i + 2kT 2.56 -0.98 i+i 2kT - 2 2.56 -0.98 i +…

A:

Q: If Y = Ab" , then log Y = n log(Ab). %3D

A:

Q: QUESTION 3 Use Newton's method as shown in class to find the root between 0.0 and 1.0 AND for a root…

A: Newton Raphson method

Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

A:

Q: QUESTION 2 Which of the following is equivalent to 4log3(6) + 2log3(x)? O A. 8log3(6x) O B. log3(6)…

A:

Q: Question 8 Solve the equation for x: log30 x + log30 (x – 1) = 1. If a solution doesnt work, enter…

A:

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 9 Solve the given equation for æ. 522-2 48 Add Work Question 10 Evaluate using your…

A:

Q: Question 3 (i) Given that log, x+2log, y = 4 show that xy =16. Hence solve for x and y the…

A: Answer

Q: QUESTION 5 S(x) = A-x and g(x) = x+2 Find (f o g)(1). O 2 O Undefined O 1 QUESTION 6 Given logx = -3…

A: topic - functions

Q: QUESTION 6 Compute: Σ=1(1+VK) Round the answer to two decimal places.

A: Given that  Σ(1+√k) for k=1, 2, 3, 4  We have to compute the above value :

Q: QUESTION 11 dz = = zP z1- -i (-e2 – 1)i e (e? + 1)i e (e? – 1) ei (e2 – 1)i e

A:

Q: Question 1 of 30 Evaluate log i^3 to base i. Select the correct response: O 0.45+0.26i O 3 3i O…

A:

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…

A:

Q: log(2 – 3i) = 2.56 +0.98 i +i 2kTI 2.56 -0.98 i + 2k T 2 2.56 -0.98 i +i 2kTt -2 2.56 -0.98 i +i…

A: The solution is given as follows

Q: 3 Question 5 Example 6.4.2 of APEX Calculus uses this fact (which appears in an integral table): f…

A: The objective is to find the right option.

Q: Problem D. Let s> 0. Prove 1 sin? r dr = log (1+ (1+).

A: The solution is given as

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

A:

Q: Question 7 Find the value of x6 in 3 decimal places (positive value) using Newton-Raphson Method…

A: Newton- Raphson Method

Q: Question 7 8e 3 Evaluate, 2/30° express your answer in exponential form. O 4e O 4ei 4ei ion O 4e No…

A:

Q: Page 1 Page 2 Example 2.1.6 Consider the integral = [(a log₂ (x)) da

A: Given     ∫ (x ln x) dx

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

A:

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

A:

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

A:

Q: Question 5 Rewrite 41/2 2 in logarithmic form. %3D

A:

Q: log (2– 3i) = 2.56 -0.98 i+2KTT 2.56 +0.98 i + i 2kt O 2 2.56 -0.98 i+i 2kTI O - 2 2.56 -0.98 i + i…

A: We evaluate value of  log(2-3i)=?

Q: 12 log (a cos 0+b² sin 8) de log (a+b a>0, b>0 2

A:

Q: log (a cos 6+6 sin 8) de= log a+b ), a>0, b>0. 2

A:

Q: Quèstion 4 tan -1 (i – 3) = Log i-1|+i8-12kπ 3 2 2 i-1|-i8+ i2kπ O 2 i-1+i0 + 3 -2 i-11+18+ i2kㅠ

A:

Q: Question 1 Which of the following is false? O yofe" = eu . Ine u (x) In e O yof log, u = u' (x) In a…

A: We can solve as follows

Q: Question Two Solve For x in the following i. 2x+3 21-x + 15 %3D ii. log (6x + 4) – log (x – 6) = 1…

A: As per the company guidelines, we are supposed to answer only first 3 subparts in case of multipart…

Q: log(2– 3i) = %3D 2.56 -0.98 i + 2kT 2 2.56 -0.98 i +i 2KTT 2 2.56 -0.98 i +i 2kTt O -2 2.56 +0.98 i…

A: We have direct formula for logarithm

Q: a+b log (a cos 0+b² sin 6) dô= log ( (), a>0, b>0.

A: