Add the numbers using the number line.-9 + (10) 
A. -1
B. 19
C. -19
D. 1
Answer: D
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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (10 - 2t)i + (1 + 9t)j + (6t - 1)k, 9 ? t ? 10
A. 2299 B. 209 C. 11 D. 121
Provide an appropriate response.The standard normal probability density function is defined by f(x) = 
e- x2/2. (a) Use the fact that 
dx = 1 to show that 
dx =
.(b) Use the result in part (a) to show that the standard normal probability density function has variance 1.
What will be an ideal response?
Find the first three terms of the Taylor series in x - a.ex, a = 2
A. e2
B. e
C. e
D. e2
Find all the first order partial derivatives for the following function.f(x, y) = x3 - 4x2y - 6xy3
A. 
= 3x2 + 2xy - 6y3; 
= -4x2 + 3xy2
B. 
= 3x2; 
= -4x2 - 18xy2
C. 
= x2 - 4xy - 6y3; 
= -4x2 - 6xy2
D. 
= 3x2 - 8xy - 6y3; 
= -4x2 - 18xy2