Write one or more inequalities that describe the set of points.The slab bounded by the planes x = -8 and x = 7 (planes included)
A. -8 ? x ? 7
B. x = -8 and x = 7
C. -? < y < ? and -? < z < ?
D. x ? -8 and x ? 7
Answer: A
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Solve the problem.A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 290 feet. Find the length and width of the fenced-in area.
A. length = 64.4 feet, width = 32.2 feet B. length = 24.1 feet, width = 12 feet C. length = 58 feet, width = 29 feet D. length = 31 feet, width = 29 feet
Find the gradient field of the function.f(x, y, z) = z sin (x + y + z)
A. ?f = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k B. ?f = cos xi + cos yj + (sin z + z cos z)k C. ?f = -cos xi - cos yj + (sin z - z cos z)k D. ?f = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k
Use logarithmic differentiation to find the derivative of y.y = (x3 + 1)3(x - 1)2x4
A. 
+ 
+ 
B. (x3 + 1)3(x - 1)2x4(3ln(x3 + 1) + 2ln(x - 1) + 4ln x)
C. (x3 + 1)3(x - 1)2x4
D. (x3 + 1)3(x - 1)2x4
Evaluate the expression.
A. 34 B. 16 C. 11 D. 46