The graph of a function is given. Choose the answer that represents the graph of its derivative.

A.

B.

C.

D.


Answer: D

Mathematics

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Find div F.F(x, y, z) = 2xyzi + 8yzj + 6zk

A. yz + z + 1 B. 2yz + 8z + 6 C. 2yzi + 8zj + 6k D. yz + z

Mathematics

Simplify.(4x)(7x7)(x2)

A. 12x10 B. 11x9 C. 28x9 D. 28x10

Mathematics

Multiply.(12x + y)(12x - y)

A. 144x2 - y2 B. 144x2 - 24xy - y2 C. 24x2 - y2 D. 144x2 + 24xy - y2

Mathematics

Non-zero vectors v and w are given. Determine the vector decomposition of v into orthogonal components v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 3i + 5j; w = 2i - j

A. v1 = i + jv2 = i + j
B. v1 = i + jv2 = i + j
C. v1 = i + jv2 = - i + j
D. v1 = i + jv2 = i + j

Mathematics