Question

the easiest way to solve a set of linear eqns in 3 variables using matrix or determinents

Answer 1

Determinents allow you to see if the system is linearly independant (or not) without needing to actually solve the system. det() = 0?

i.e.
1x + 2y + 3z = 0 (eq 1)
-2x + 0y -2z = 2 (eq 2)
-1x + 2y + 1z = 2 (eq 3)

is a system that's not linearly independant (eq 3 = eq 2 + eq 1) Therefore, there is not a unique solution for the 3 variables x,y, & z.

Answer 2

Cramer's Rule

Answer 3

best way is to find through Cramer's Rule

Answer 4

Best way to find it is to use Gaussian elimination. Cramer's rule is computationally inefficient, but easier on the brain if you have a calculator.

Answer 5

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Answer 6

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Answer 7

find max and min of x^2 + y^2 subject to the constraint x^2 - 8x +y^2 - 10y = 0

Answer 8

calc iii lagrange multipliers problem

Answer 9

Emotional effects of steroid use seem to depend on the _______ of the steroid used.

Answer 10

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Answer 11

Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. The fencing is sold by the yard. How many yards should she buy?

Answer 12

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Answer 13

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Answer 14

Assessment items
Assessment started: undefined.
Item 1

Read the passage.

Dark Star

Giselle leaned against the mahogany bay horse, stroking the white diam

Answer 15

Okay I was gone for a minute BUT I'M BACK NOW

Answer 16

the scatter plot presents Ray's monthly electricity bills and amount of time ray

Answer 17

Which word shares a connotative meaning with the word cheap as it is used in this sentence?

Ashley thought her parents were being cheap when they bought ge

Answer 18

Which revision fixes the dangling modifier in the sentence?

Rowing through the rapids, the canoe began to fill with water.

Answer 19

dangling modifier

Answer 20

Misplaced Modifiers

Answer 21

For which literary work did Joseph Heller use his military experiences as a prima

Answer 22

Calc III Tutorial: Lagrange Multipliers

Answer 23

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Answer 24

Find the interest due on $1,090 at 8% for 5 years.

43.60
68.13
436.00
681.25