Solve the initial value problem.Differential Equation: 
= (18t2 - 7)i - j + 
kInitial Condition: r(0) = -8i + 4j + 5k
A. r(t) = (18t3 - 7t - 8)i + (4 - t)j + (
+ 3)k
B. r(t) = (6t3 - 7t - 8)i + (4 - t)j + (
- 3)k
C. r(t) = (6t3 - 7t - 8i + (4 - t)j + (2
+ 3)k
D. r(t) = (6t3 + 7t + 8)i + (4 + t)j + (
+ 3)k
Answer: C
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f(x)
A. does not exist B. 1 C. 0 D. -1
Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 0 and x = 1 using a right sum with two rectangles of equal width.
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= 2 and 
= 8, find 
.
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Multiply, and then simplify if possible. Assume all variables represent positive real numbers.(7
+ 2)(6
+ 9)
A. 123
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C. 60
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