Other Math Answers

The sum of a vector and the negative of another vector could be written as …………

w+w
w+(-w)
w
None of the above

i) Calculate the third-degree Taylor polynomial about 0 x0 = for 2/1
f (x) = 1( + x) .
ii) Use the polynomial in part (i) to approximate 1.1 and find a bound for the
error involved.
iii) Use the polynomial in part (i) to approximate ∫
+
1.0
0
/1 2
1( x) dx .

The equation 0 2 5
3 2
x + x − = has a positive root in the interval [2,1] . Write a fixed
point iteration method and show that it converges. Starting with initial approximation
5.1 x0 = find the root of the equation. Perform two iterations.

Solve the system of equations
7 3x + 2y + 4z =
7 2x + y + z =
2 x + 3y + 5z =
using Gauss elimination with pivoting. Store the multipliers and also write the
pivoting vector.

Before leaving to visit mexico,Levant traded 270 american dollars and received 3,000 Mexican pesos.When he returned from mexico, he had 100 pesos left. How much will he receive when he exchanges pesos for dollars?

A flower vase, in the form of a hexagonal prism, is to be filled with 512 cubic inches of water. Find the height of the water if the wet portion of the flower vase and its volume are numerically equal.

a container trough is in the form of a triangular prism whose opposite sides are equilateral triangles with side 2 feet and are 4 feet apart.
a. find the height of the triangle
b. find the volume of the trough
if 2 cubic feet of water is placed inside the trough,
c. what is the level of the water
d. find the area of the wet portion.

The population of a colony of bacteria doubles every "a" days, where "a" is a positive integer. If the population is 4,000n on day 8a, on which of the days is the population 500n?

Adriana earns 5% commission on her sales up to $25 000 , 5.5% on any sales between $25 000 and $35 000 , 6% on any sales between $35 00 and $45 000 , and 7% for any sales over $45 000. Draw a graph to represent how Adriana's earning depend on her sales. what sales value does she need to ear $2000?

A university invests $600,000 at simple interest, part at 6%, half that amount at 4.5%, and the rest at 3.5%. What is the most the university can invest at 3.5% and be guaranteed at least $24,600 in interest per year?