Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. 4 ln + ln
+
tan-1
+ C
B. 5 ln +
- ln
+ sin-1
+ C
C. 7 ln + ln
+
tan-1
+ C
D. 4 ln -
+ ln
+
tan-1
+ C
Answer: D
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If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases toward a terminal velocity of feet per second. The difference
is an exponential function of time.
? A: What is the initial value of D? ? B: For each second that passes, D decreases by 17%. What is the one-second decay factor for D? Round your answer to two decimal places if necessary. ? C: Find an exponential formula for D. Use t for the number of seconds since the skydiver jumped. ? D: Find a formula for v. ? What will be an ideal response?
Solve the equation. = 5.1
A. -5.1 B. 5.1 C. 2601 D. 5.1, -5.1
Simplify the expression.5 (q ? 0)
A.
B.
C.
D.
Graph the function. Give the domain and range.f(x) = ?x - 5? - 2
A. Domain: (-?, ?); Range: [-5, ?)
B. Domain: (-?, ?); Range: [-2, ?)
C. Domain: (-?, ?); Range: [-2, ?)
D. Domain: (-?, ?); Range: [-5, ?)