Project #31376 - math

 

Be sure to show all of your work.

 

Simplify the following expressions using the imaginary number i:

 

 5√-12

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 √-8

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 3√-7

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

 -3√-200

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

Write the following numbers using the imaginary number i, and then performed the

 

operations necessary and simplify your answer. Show all your work.

 

 3√-9 • 2√-49

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 √-12 • √-36

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 i√-36 – i2

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

 3√-9 + 2√4-9

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

Simplify the following expressions using the imaginary number i when needed:

 

 i 8

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 i 75

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 (i 2 ) (i 6)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

Simplify and rationalize the denominators. Show all your work.

 

 4√-3/2

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 -3√-2/27

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 √-4/27

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

Perform the operation indicated in each problem below:

 

 (8 + 6i) + (2 + i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

 -9 +(4 - 2i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 (1 + i) – (1 - i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 3i– (4 + 15i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

Perform the operation indicated in each problem below:

 

 (√2 + 3i)(√2 - 3i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

 (√27 - 3i)(√3 + i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 (√2 – i√3) (√2 + i√3)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 2i( 3i – 2)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 (3 - 6i)2

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

Determine the sum or difference in geometric terms, and then check it algebraically.

 

Remember that a – b = a + (-b). Show all your work

 

 (8 - 5i) – (2 + 3i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 (-6 + i) – (-2 -3i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 (3 + i) + (-2 + 2i) + (8 - 2i)

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

Solve the following equations using the quadratic formula.

 

 x2 - 4x + 13 = 0

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 

 

 x2 + 49 = 0

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

_______________________________________________________________________

 

 x2 + 5x + 8 = 0

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

 x2 - 3x + 4 = 0

 

________________________________________________________________________

 

________________________________________________________________________

 

________________________________________________________________________

 

Find the first three terms in each series, using the given rule. Show all your work.

 

 tn =3n – 1

 

 tn =n + 11

 

 tn =5(2)n

 

 tn =(-2)n

 

Now, find the rule for each sequence by defining tn.

 

 1, ½, 1/3, ¼, …

 

 2 4, 6, 8,…

 

Determine whether or not the following sequences can be defined as arithmetic

 

sequences. Write “yes” or “no.” If it is an arithmetic sequence, state the common

 

difference. Show all your work.

 

 2, 4, 8, 16

 

 2, 4, 6, 8

 

Find the first three terms of the sequence given the following values for a and d.

 

Show all your work.

 

 a = 5; d = -3

 

 a = 1; d = 8

 

If the following finite arithmetic term has 15 terms total, then find the last term for

 

each sequence listed. Show all your work.

 

 1, 5, 9

 

Find the position number for the term with value of 24 in each sequence. Show all

 

your work.

 

 -25, -18, -11

 

 -9, -6, -3

 

Find the sum for each of the following arithmetic series below. Use the summation

 

formula to find the sums. Show all your work.

 

 A series with six terms, the first term is nine and the common difference is

 

twelve.

 

 A series with five terms, the first term is 5.7 and the common difference is 1.4.

 

Find the sum of the first 21 terms in a series where a = 20 and t21= 400. Find the sum of the first 100 terms in a series where a = 0 and t100= 99.

 

Now, find n and Sn for the following arithmetic series below. Show all your work.

 

 2 + 4 + 6 + 8+ …+ 60

 

Determine if the following sequences would or would not be classified as geometric

 

sequences. Write “Yes” or “No” for your final answer and explain why. Show all

 

your work.

 

 1, ½, ¼, 1/8

 

 6, -6, 6, -6

 

Find the first three terms in each of the geometric sequences below, given the

 

values of a and r. Show all your work.

 

 a = 3/8, r = 4

 

 a = -4, r = 3 -

 

Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the geometric

 

series, given the value for a, r, and n. Show all your work.

 

 a = 6, r = 3, n =4

 

 a = 4, r = ¼, n = 4

 

 Nadia invested $1,500.00 into a savings account. Her investment will earn her

 

1% increase every month. The interest is also invested at the same rate. What

 

is the total interest that she will earn over a two-year period? Show all your

 

work. $404.60.

 

Subject Mathematics
Due By (Pacific Time) 05/23/2014 12:00 am
Report DMCA
TutorRating
pallavi

Chat Now!

out of 1971 reviews
More..
amosmm

Chat Now!

out of 766 reviews
More..
PhyzKyd

Chat Now!

out of 1164 reviews
More..
rajdeep77

Chat Now!

out of 721 reviews
More..
sctys

Chat Now!

out of 1600 reviews
More..
sharadgreen

Chat Now!

out of 770 reviews
More..
topnotcher

Chat Now!

out of 766 reviews
More..
XXXIAO

Chat Now!

out of 680 reviews
More..
All Rights Reserved. Copyright by AceMyHW.com - Copyright Policy