Find the gradient field of the function.f(x, y, z) = ex4 + y3 + z6
A. ?f = x3ex4 + y3 + z6i + y2ex4 + y3 + z6j + z5ex4 + y3 + z6k
B. ?f = 4x3ex4 + y3 + z6i + 3y2ex4 + y3 + z6j + 6z5ex4 + y3 + z6k
C. ?f = x4ex4 + y3 + z6i + y3ex4 + y3 + z6j + z6ex4 + y3 + z6k
D. ?f = 4x3ex4i + 3y2ey3j + 6z5e z6k
Answer: B
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Provide an appropriate response.To which of the following sets does - belong: natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers?
A. Irrational numbers, natural numbers B. Rational numbers, real numbers C. Irrational numbers, real numbers D. Rational numbers, natural numbers
If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.8y2 + 36y - 20
A. (8y - 4)(y + 5) B. 8x2 - 36x - 20 C. 4(2y - 1)(y + 5) D. 4(2y + 1)(y - 5)
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem.
A. Maximum at 8 for x3 = 2, s1 = 2 B. Maximum at 12 for x1 = 2, x3 = 2 C. Maximum at 4 for x2 = 2, s1 = 2 D. Maximum at 6 for x3 = 2, s1 = 2
Use the commutative and associative laws to write at least two equivalent expressions.x(13d)
What will be an ideal response?