Solve the problem.If two sound sources at the same volume are equidistant from a microphone, the pressure on the microphone is given by p = a cos ?1t + a cos ?2twhere a, ?1, ?2 are constants and t is time. Write p as a product of cosine functions.

What will be an ideal response?


p = 2a cos (t) cos (t)

Mathematics

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Decide whether or not the given equation is an identity. = tan y

A. Yes B. No

Mathematics

Provide an appropriate response.Explain why f(x) = 2x is an exponential function but f(x) = x2 is not.

What will be an ideal response?

Mathematics

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A. function domain: {x|-1 ? x ? 1} range: {y|-? ? y ? ?} intercepts: (-?, 0), (0, 0), (?, 0) symmetry: none B. function domain: {x|-? ? x ? ?} range: {y|-1 ? y ? 1} intercepts: (-?, 0), (0, 0), (?, 0) symmetry: origin C. function domain: all real numbers range: {y|-1 ? y ? 1} intercepts: (-?, 0), (0, 0), (?, 0) symmetry: origin D. not a function

Mathematics

Draw two arrays to represent the product.2 times 3

A.

 *
*
 * *
B.
 *
*
 * *
C.
 *
*
 * *
D.
*
*?
* *

Mathematics