Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Hello! Just 3 quick problems. For number 29, please answer the question with a full explanation. I have attached below the blank question 29, which

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed

Hello! Just 3 quick problems. For number 29, please answer the question with a full explanation. I have attached below the blank question 29, which is the question you have to answer, and an example of a similar question to show you what to do. Please answer with a graph and the table.

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
1 15. Use graphs and tables to find the limit and identify any vertical asymptotes of lim (x - 7)2 . (1 point) To find the vertical asymptote we have to set the denominator equal to 1 to solve the equation: (* - 7)' = 0, x=7, so x=7 is the vertical asymptote because 7-7 becomes 0. Given this, our table would be: X 6.9 6.99 6.999 6.9999 7.0001 7.001 7.01 7.1 f(x) 100 10000 1000000 100000000 100000000 1000000 10000 100 Now to find the limit we have to use the properties of limits which are lim f(2) = L, lim f(*) = L =lim f(@) = L. So, if approaching from the left: @ - 7 0, and it's square is also positive, the limit again equals too. Looking at the graph, it is seen that both lines point upwards to positive infinity, which is the limit: 210 15 10 12 Points 1 /129. Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (1 point) lim x-10- X - 10 B i U Font Family AAA D =. UN-30. Find the fifth roots of 32(cos 280 + i sin 2809). (1 point) Font Family - AA A UN-31. The position of an object at time t is given by s(t) = 7 - 14t. Find the instantaneous velocity at t = 7 by finding the derivative. (1 point) B i U Font Family - AA A DE tvCorrect Answer: z1= 2(cos 56 deg + i sin 56 deg) z2= 2(cos 128 deg + i sin 128 deg) z3 = 2(cos 200 deg + i sin 200 deg) z4 = 2(cos 272 deg+ i sin 272 deg) z5 = 2(cos 344 deg+ i sin 344 deg) Step-by-step explanation: De Moivre's Theorem--> e^i theta = cos theta + i sin theta The fifth root of 32 is 2 and 280/5 is 56 z1= 2(cos 56 deg + i sin 56 deg) 360deg/ 5 =72 deg (If it was asking for cubed root u would do 360/3. whatever the root is you divide that by 360) z2= 2(cos 56 + 72) + (i sin 56 + 72) z2= 2(cos 128 deg + i sin 128 deg) z3 = 2(cos 128 + 72) + ( i sin 128 + 72) 23 = 2(cos 200 deg + i sin 200 deg) 24 = 2(cos 200 + 72) + (i sin 200 + 72) z4 = 2(cos 272 deg + i sin 272 deg) 25 = 2(cos 272 + 72) + (i sin 272 + 72) z5 = 2(cos 344 deg + i sin 344 deg) deg means degrees

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Elementary Symbolic Logic

Authors: William Gustason, Dolph E Ulrich

2nd Edition

1478616857, 9781478616856

More Books

Students also viewed these Mathematics questions

Question

The personal characteristics of the sender

Answered: 1 week ago

Question

The quality of the argumentation

Answered: 1 week ago