A function f has the following graph. a. The average rate of change of f over [ 0 , 200 ] is (A) greater than (B) less than (C) approximately equal to the instantaneous rate of change at x = 100 . b. The average rate of change of f over [ 0 , 200 ] is (A) greater than (B) less than (C) approximately equal to the instantaneous rate of change x = 150 . c. Over the interval [ 0 , 50 ] theinstantaneous rate of change of f is (A) increasing, then decreasing. (B) decreasing, then increasing. (C) always increasing. (D) always decreasing. d. Over the interval [ 0 , 200 ] theinstantaneous rate of change of f is (A) always positive. (B) always negative. (C) negative, positive, and then negative. e. f ' ( 100 ) is (A) greater than f ' ( 100 ) . (B) less than f ' ( 25 ) . (C) approximately equal to f ' ( 25 ) .
A function f has the following graph. a. The average rate of change of f over [ 0 , 200 ] is (A) greater than (B) less than (C) approximately equal to the instantaneous rate of change at x = 100 . b. The average rate of change of f over [ 0 , 200 ] is (A) greater than (B) less than (C) approximately equal to the instantaneous rate of change x = 150 . c. Over the interval [ 0 , 50 ] theinstantaneous rate of change of f is (A) increasing, then decreasing. (B) decreasing, then increasing. (C) always increasing. (D) always decreasing. d. Over the interval [ 0 , 200 ] theinstantaneous rate of change of f is (A) always positive. (B) always negative. (C) negative, positive, and then negative. e. f ' ( 100 ) is (A) greater than f ' ( 100 ) . (B) less than f ' ( 25 ) . (C) approximately equal to f ' ( 25 ) .
Solution Summary: The author analyzes the graph to determine the average rate of change of function f in interval left[0,200right].
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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