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3 years ago

Given f(x) = 3 and g(x) = cos(x). What is lim [F(x) - g(x)]?

Mathematics

1 answer:

Flura [38]3 years ago

6 0

Answer:

Step-by-step explanation:

$\lim_{n \to \ -\pi } (f(x) - g(x))\\\\ = \lim_{n \to \ -\pi } (3 - cos x)\\\\ = 3 - cos( - \pi) = 3 - cos(\pi)\\\\ = 3 - (-1) = 3 + 1 = 4$

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The bases of the prism below are right triangles. The volume of the prism is 3360 units33 . Find the height of the prism.

lana66690 [7]

Answer:

Explanation:

Given:

Volume of the prism = 3360 units^3

To find:

The height of the prism

We'll use the below formula to determine the height(h) of the prism;

$\begin{gathered} Volume(V)=Area(A)\text{ of the triangular base * Height\lparen H\rparen of the prism} \\ V=(\frac{b*h}{2})*H \\ 3360=(\frac{16*30}{2})*H \\ 3360=240*H \\ H=\frac{3360}{240} \\ H=14 \end{gathered}$

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