Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.

Given:

Number of bees is modeled by the function $B(x)=50\sqrt{k}+2x$

The daily high temperature is increasing at a rate of 2 °F per day when the number of bees spotted is 100.

To find:

rate of change of number of bees when 100 bees are spotted

Solution:

$B(x)=50\sqrt{k}+2x$

Differentiate with respect to t,

$\frac{dB}{dt}=0+2(\frac{dx}{dt}) \\\frac{dB}{dt}=2(\frac{dx}{dt}) \\$

Put $(\frac{dx}{dt}) =2$

$\frac{dB}{dt}=2(2)=4$

At x = 100, $\frac{dB}{dt}=4$

4 0

4 years ago

How to solve #12 can't seem to figure it out after spending 20 mins on it

Ilia_Sergeevich [38]

The area of one of the triangular lateral faces is

$\dfrac{401.48-166.28}6=39.2$

You're told that the slant height, which is the same as the height of the triangular face, is 9.8, so you have

$39.2=\dfrac12\times9.8\times b$

where $b$ is the length of the base of the triangle, which is also the same as the side length of the base of the pyramid. So

$b=8$

5 0

4 years ago

Since angle B is the largest angle, Line segment A C is the ________ side.

-BARSIC- [3]

Answer:

Step-by-step explanation:

The largest angle is opposite the <em>longest</em> side.

6 0

2 years ago