Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 
- 1
A. 
B. 
C. 
D. 
Answer: B
Mathematics
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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?
Mathematics
Evaluate the integral.
A. - 
e-x8 + C
B. - 
e-x7 + C
C. -7e-x8 + C
D. e-x7 + C
Mathematics
Graph a line that is perpendicular to the given line and passes through the given point.
A. 
B. 
C. 
D. 
Mathematics
Expand the expression using the Binomial Theorem.(x3 + 2y2)4
A. x6 + 8x5y2 + 24x6y4 + 32x3y5 + 16y6 B. x12 + 8x9y6 + 24x6y4 + 32x3y2 + 16y8 C. x12 + 6x9y2 + 24x6y4 + 24x3y6 + 16y8 D. x12 + 8x9y2 + 24x6y4 + 32x3y6 + 16y8
Mathematics