Determine whether the function is even, odd, or neither.f(x) = -0.07x2 +  - 6

A. Even
B. Odd
C. Neither


Answer: A

Mathematics

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Find the gradient field F of the function f.f(x, y, z) = ln (x9 + y8 + z6)

A. F = i + j + k
B. F =  ln ( y8 + z6)i +  ln (x9 + z6)j +  ln ( x9 + y8)k
C. F = i + j + k
D. F = i + j + k

Mathematics

Find the probability. Round to the nearest ten-thousandth when necessary.A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. What is the probability that you have at least 1 lemon candy?

A. 0.5758 B. 0.1515 C. 0.4909 D. 0.3362

Mathematics

Solve the problem.Beaufort Canal has a semi-elliptical cross section with a width W = 67 feet and a depth D = 13 feet (see figure). The keel on Sasha's yacht rides 5 feet below the water line at the keel's deepest point. If the yacht travels parallel to the canal, and assuming the canal is completely full of water, how close can Sasha bring the yacht's centerline to the edge of the canal without running aground? (The keel is the very bottom of a boat hull and runs directly below the boat's centerline from front to back.)

A. 21 ft B. 4 ft C. 12 ft D. 5 ft

Mathematics

Establish the identity.cos4 x = (3 + 4 cos(2x) + cos (4x))

What will be an ideal response?

Mathematics