Use transformations of either the graph of y = ln x or y = log x to graph the given equation.y = -3 ln x

A.

B.

C.

D.


Answer: B

Mathematics

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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.y = xy = 2x

A. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.

Mathematics

Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.2x2 + x - 28

A. (2x + 7)(x - 4) B. (2x - 7)(x + 4) C. (2x - 4)(x + 7) D. (2x + 4)(x - 7)

Mathematics

Provide an appropriate response.Which of the following properties do not hold for matrix multiplication?(i)Associative property(ii)Commutative property(iii)Distributive property(iv)Zero-factor property (If the product of two matrices is a zero matrix, then one of the factors must be a zero matrix.)

A. (i), (iii) B. (ii), (iv) C. (ii) D. None. All of the properties hold.

Mathematics

Solve the problem.In a survey about the number of siblings of college students, the following probability table was constructed:   What is the probability that a student has at least 2 siblings?

A. 0.21 B. 0.6 C. 0.79 D. 0.4

Mathematics