Mathematics Homework Solutions

Working with matrices : Determinants and transposes.

If A is a 3x3 matrix such that the determinant A is 2 and A1 is the transpose of A, find the determinant of A1.

Converting a number into scientific notation.

Name and place this value into scientific notation. 0.000000000000000000000017g

Calculating the reversal tangents of a function.

What is the equation of the reversal tangent of the following function? f(x)=-(x^3)+9x^2-(29x)+35

Functions and change

Given is the following function: k(x)=2x^2*(℮^(40-x)) Is the change of the above function from delta x 42 to 42.1 approximately smaller than the delta k of 40? Please give full explanation of answer (mathematical evidence).

Functions: Change in x versus change in y

Given is the following function: k(x)=2x^2*(℮^(40-x)) Is the change of the above function from delta x 42 to 42.1 approximately smaller than the delta k of 40?

Algebra: Sequences and Expansions

1. The coefficient of x6y4 in the expansion of (2x-y)10 is ? 2. An arithmetic sequence has a=15 and the common difference d=-3/2. Find the value of 10 over Sigma k=5 ak = the kth term of the sequence. 3. Find the 3rd term in the expansion of (x+6)10.

Algebra: Ellipses and Circles

1. Find the center of the ellipse given by 64x2 + 4y2 + 128x - 80y +208 = 0 2. Find the radius of the circle defined by x22 + y2 - 6x -16y = 48 3. The distance between the foci of the ellipse defined by 9(x + 6)2 + 25(y - 15)2 = 225 4. What is the coefficient of x3 in the expansion of (2+ x)5

Algebra

Complete the algebra questions in attachment

Conversion factors : Excavation

How many cubic yards must one have to excavate using the following guidelines: Driveway size 16 X 17 Paver thickness 2 3/8 Sand bedding 400 Lbs Base compacted 6"

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