Find an equation for the line with the given properties.The solid line L contains the point (4, 5) and is parallel to the dotted line whose equation is  Give the equation for the line L in slope-intercept form.

A. y = 2x - 3
B. y - 5 = 2(x - 4)
C. y = 2x + 1
D. y = 2x + b


Answer: A

Mathematics

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The scalar function div(grad f) = ? ? ? f (also written ?2f) is called the Lapalacian, and the function f satisfying ?2f = 0 is said to be harmonic.  ?2f = fxx + fyy + fzz. Find ?2f for the following function and decide if it is harmonic.f(x, y, z) = 4x2 - y2 - 3z2

A. harmonic B. not harmonic

Mathematics

Find  by using the Chain Rule. Express your final answer in terms of t.w = , x = 4t + 1, y = et, z = 6t - 1

A.
B.
C.
D.

Mathematics

Perform the indicated operation.(3 + 4n6 + 5n5) + (5n6 + 4n5 + 3)

A. 9 + 9n6 + 6n5 B. 24n11 C. 8n6 + 8n5 + 8 D. 9n6 + 9n5 + 6

Mathematics

Provide an appropriate response.Rewrite as a logarithmic equation: 34 = 81

Fill in the blank(s) with the appropriate word(s).

Mathematics