Solve the differential equation subject to the given condition. Note that y(a) denotes the value of y at t = a.
= 0.33y, y(0) = 250
A.
B.
C.
D.
Answer: A
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Solve the equation.8.8 - .02(x - 0.6) = .7x (All numbers are approximate.)
A. x ? 1.25527066 B. x ? 1 C. x ? 10 D. The equation is a contradiction.
Translate the sentence to an algebraic inequality.A number is less than or equal to -3.
A. x > -3 B. x < -3 C. x ? -3 D. x ? -3
Consider a family of functions . Graph all the given members of the family in the viewing rectangle indicated.
?
(a) by
?
(b)
by
?
How does the value of c affect the graph?
?
A. The graphs in part (a) are obtained by shifting the graph of
to the right c units,
. The graphs in part (b) are obtained by shifting the graph of
to the left
units,
.
B. The graphs in part (a) are obtained by shifting the graph of to the left c units,
. The graphs in part (b) are obtained by shifting the graph of
to the right
units,
.
C. The graphs in part (a) are obtained by shifting the graph of to the left and downwards c units,
. The graphs in part (b) are obtained by shifting the graph of
to the right and up
units,
.
D. The graphs in part (a) are obtained by shifting the graph of up c units,
. The graphs in part (b) are obtained by shifting downwards the graph of
units,
.
E. The graphs in part (a) are obtained by shifting the graph of downwards c units,
. The graphs in part (b) are obtained by shifting the graph of
up
units,
.
Find the exact value of the indicated trigonometric function of ?.tan ? = , 180°< ? < 270°Find cos ?.
A.
B.
C. -21
D. -