Solve the problem.The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 8 units long. Express the area A of the rectangle in terms of x.
A. A(x) = 2x(4 - x)
B. A(x) = x(4 - x)
C. A(x) = 2x2
D. A(x) = 2x(x - 4)
Answer: A
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Find all the first order partial derivatives for the following function.f(x,y,z) = xe(x2 + y2 + z2)
A. 
= 2x2e(x2 + y2 + z2); 
= xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
B. 
= (1 + 2x2) e(x2 + y2 + z2); 
= 2xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
C. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xe(x2 + y2 + z2); 
= xe(x2 + y2 + z2)
D. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xy2e(x2 + y2 + z2); 
= xz2e(x2 + y2 + z2)
Find the axis of symmetry of the parabola defined by the given quadratic function.f(x) = 11(x - 4)2 + 7
A. x = 4 B. x = -4 C. x = 7 D. x = 11
Factor completely. If the polynomial cannot be factored, say it is prime.x4 - 144
A. (x2 + 12)(x2 - 12) B. (x2 - 12)2 C. (x2 + 12)2 D. prime
Evaluate the expression.
A. 4!
B. 1
C. 4
D. 