Evaluate the integral.
A. - csc 7t cot 7t -
ln
+
+ C
B. csc 7t cot2 7t -
ln
+ C
C. - csc 7t cot 7t +
ln
+ C
D. - csc 7t cot 7t -
ln
+ C
Answer: D
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Determine the constant of variation for the stated condition.b varies directly as a, and b = 72 when a = 8.
A. k = 64
B. k = 11
C. k =
D. k = 9
Express the statement as an equation involving the indicated variables.The perimeter P of a rectangle is twice the sum of its length l and its width w.
A. P = l + w B. P = 2(l + w) C. P = 2lw D. P = lw
Simplify and write the answer in standard form.
a.
b.
c.
d. The expression cannot be simplified.
e.
Solve.The square garden in the figure measures x yards on each side. The garden is to be expanded so that one side (the top of the figure) is increased by 4 yards and the adjacent side (the right side of the figure) is increased by 2 yards. Write a polynomial in descending powers of x that expresses the area of the larger garden. Then use the polynomial to determine the area of the larger garden if the original garden measures 5 yards on a side. 2 yards
A. x2 + 6x + 8; 63 square yards B. x2 + 6x + 8; 31 square yards C. x2 + 6; 31 square yards D. x2 + 6; 63 square yards