Use the power property to rewrite the expression.log3 y-4

A. 4log3 y
B. 3log4 y-4
C. -3log4 y
D. -4log3 y


Answer: D

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y, z) = e(sin (x) + yz)

A.  = e(sin (x) + yz) = ze(sin (x) + yz) = ye(sin (x) + yz)
B.  = cos(x)e(sin (x) + yz) = e(sin (x) + yz) = e(sin (x) + yz)
C.  = e(sin (x) + yz) = ze(sin (x) + yz) = ye(sin (x) + yz)
D.  = cos(x) e(sin (x) + yz) = ze(sin (x) + yz) = ye(sin (x) + yz)

Mathematics

Express the trigonometric function in terms of the same function of a positive acute angle.sin (-400°)

A. -sin 400° B. -sin 40° C. sin 40° D. -sin 85°

Mathematics

Provide an appropriate response.Suppose that we are using substitution to find an antiderivative. If, after making the substitution, we find that there is still an x-term left in the integrand, what should we do?

A. Go back to the equation relating x and u, solve for x, and substitute in the integrand. B. Use an alternative method, because substitution will never give the antiderivative. C. This would never happen if we made the correct substitution. D. None of the above

Mathematics

Find the magnitude of u × v and the unit vector parallel to u × v in the direction of u × v.u = 2i, v = 2j

A. 4; k B. 4; 4k C. 4; -k D. 2; 2k

Mathematics