Solve the problem.Find the length of the unknown leg of the right triangle shown. Give an exact answer. 
A. 12
B. 15
C. 14
D. 11
Answer: A
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Evaluate the line integral of f(x,y) along the curve C.f(x,y) = 4y2, C: y = e-x, 0 ? x ? 3
A. 
B. 
C. 
[2
- (e- 6 + 1)3/2]
D. 2[2
- (e- 6 + 1)3/2]
Provide an appropriate response.Which property justifies the statement?(5 + 6) + 3 = (6 + 5) + 3
A. Commutative property B. Inverse property C. Associative property D. Distributive property
Find the unit tangent vector T and the principal unit normal vector N. r(t) = (7 + t)i + (4 + ln(sec t))j - 10k, -?/2 < t < ?/2
A. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j B. T = (-cos t)i - (sin t)j; N = (-cos t)i + (sin t)j C. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j D. T = (cos t)i + (sin t)j; N = (- sin t)i + (cos t)j
Solve the quadratic equation and express all nonreal complex solutions in terms of i.x2 + 80 = 0
A. {±4i}
B. {±i
}
C. {±20i}
D. {±4i
}