Solve the initial value problem.y'(t) + 7y = 3, y(0) = 1
A. y = e-7t +
B. y = e7t +
C. y = e7t +
D. y = e-7t +
Answer: A
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Solve problems using a calculator.A high-speed train traveled a distance of 668 miles in 2.5 hours. What was the train's average speed in miles per hour? (Round to the nearest whole number, if necessary.)
A. 267 miles per hour B. 249 miles per hour C. 275 miles per hour D. 238 miles per hour
A wooden beam has a rectangular cross section of height h in. and width w in. (see the figure). The strength S of the beam is directly proportional to its width and the square of its height.
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What are the dimensions of the cross section of the strongest beam that can be cut from a round log of diameter 24 in.? Hint: , where k is a constant of proportionality.
?
?
Where .
?
A.
B. ?
C. ?
D. ?
Use the slope and y-intercept to graph the linear function.F(x) = 6
A.
B.
C.
D.
Determine if each statement is true if
(i) PQRS is a rectangle
(ii) PQRS is a square
In each case, if true, explain why.
(a) PR ? SQ
(b) ?STP ? ?QTR
(c) ?STP = 90°
(d) ?QPT ? ?SRT