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dsp73
3 years ago
14

Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

values. If an answer does not exist, enter DNE.) g(θ) = 8θ − 2 tan(θ)
Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

\theta = \cos^{-1} (\pm \frac{1}{2} )

Step-by-step explanation:

The function is g(\theta) = 8\cdot \theta - 2\cdot \tan \theta, whose first derivative is:

g'(\theta) = 8 - 2\cdot \sec^{2}\theta

Let equalize the derivative to zero:

8 - 2\cdot \sec^{2}\theta=0

\sec^{2}\theta = 4

1 = 4\cdot \cos^{2}\theta

\cos \theta = \pm\sqrt {\frac{1}{4} }

\cos \theta = \pm \frac{1}{2}

The solutions are given by the following inverse trigonometric function:

\theta = \cos^{-1} (\pm \frac{1}{2} )

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This question is too hard
OLga [1]

Answer:

27 children

Step-by-step explanation:

For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.

39 / 13 = 3

There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.

3 * 9 = 27

Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)

3 0
2 years ago
you deposit $7,900 in a money-market account that pays an annual interest rate of 4.3%. the interest is compounded quarterly. ho
Sladkaya [172]
<span><span>anonymous </span> 3 years ago</span>we are solving for A, A is the future amount A=? P is the present value, so we were told 7,900, so p=7900 r is the interest rate, so 4.3%, but in decimal form so r=0.043 k is the how often it is 'compounded', it says quarterly, so k=4 n is how long, 3 years, so n=3 <span>A=P(1+<span>rk</span><span>)<span>n∗k</span></span></span> plug in the values
<span>A=8981.51</span>
4 0
3 years ago
Find the area of a parallelogram with a base of 9m and a height of 5​
zubka84 [21]

Answer:

A=45m²

Step-by-step explanation:

A=bh=9·5=45m²

4 0
3 years ago
Read 2 more answers
a piece of wire 17m long stretched from the top a flagpole to point p on the ground if p is8m from the pole how tall is the pole
lakkis [162]

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

17^2=8^2+h^2

h^2=17^2-8^2

h^2=289-64

h^2=225

h=15 meters

6 0
3 years ago
BLUEPRINTS Abby’s family is building a new house. On the blueprints of the house, Abby’s bedroom measures
mariarad [96]

Answer:

A scale drawing or floor plan is a representation of an actual object or space drawn in two-dimensions. For a floor plan, you can imagine that you are directly above the building looking down. The lines represent the walls of the building, and the space in between the lines represents the floor.

In order to find the actual dimensions from a floor plan, you can set up and solve a proportion. The scale given in the drawing is the first ratio. The unknown length and the scale length is the second ratio.

Let’s look at an example.

The floor plan below shows several classrooms at Craig’s school. The length of Classroom 2 in the floor plan is 2 inches. What is the actual length, in feet, of Classroom 2?

First, set up a proportion. The scale in the drawing says that

12′′=3′

, therefore the proportion is:

0.5 inches3 feet

Next, write the second ratio. You know the scale length is 2 inches. The unknown length is

x

. Make sure that the second ratio follows the form of the first ratio: inches over feet.

0.5 inches3 feet=2 inchesx feetThen, cross-multiply.

0.530.5x0.5x===2x2×36Then, divide both sides by 0.5 to solve for

x

.

0.5x0.5x0.5x===660.512The answer is 12.

The actual length of the classroom is 12 feet.

8 0
3 years ago
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