Multiply.(5y + x)(5y - x)
A. 25y2 - x2
B. 25y2 - 10xy - x2
C. 25y2 + 10xy - x2
D. 10y2 - x2
Answer: A
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Find all the second order partial derivatives of the given function.f(x, y) = x ln (y - x)
A. 
= 
; 
= - 
; 
= 
= 
B. 
= 
; 
= - 
; 
= 
= 
C. 
= 
; 
= 
; 
= 
= 
D. 
= 
; 
= - 
; 
= 
= - 
Determine an appropriate domain of the function. Identify the independent and dependent variables.A weather balloon of radius r (in meters) is filled with air. The volume V of the balloon is given by the function 
. Assume the balloon can hold up to 8 m3 of air.
A. D = 
The independent variable is r.
The dependent variable is V.
B. D = 
The independent variable is r.
The dependent variable is V.
C. D = 
The independent variable is V.
The dependent variable is r.
D. D = [0, 8]
The independent variable is r.
The dependent variable is V.
Use inductive reasoning to predict the next equation.6 × 7 = 8 × 9 - (6 + 7 + 8 + 9)7 × 8 = 9 × 10 - (7 + 8 + 9 + 10)
A. 8 × 9 = 10 × 11 - (6 + 7 + 8 + 9 + 10 + 11) B. 9 × 10 = 11 × 12 - (8 + 7 + 6 + 5) C. 9 × 10 = 11 × 12 - (9 + 10 + 11 + 12) D. 8 × 9 = 10 × 11 - (8 + 9 + 10 + 11)
Perform the indicated operations.-7(-2 + 6 + 1)
A. 63 B. -63 C. -35 D. 35