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faltersainse [42]
3 years ago
14

Use the equation given below to find f '' (π/ 3)  . f(x) = sec x

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0
F'(x) = secxtanx
f''(x) = (secx)^3 + (secx)^2*(tanx)^2
Plug in \pi / 3 and you get 8 + 12 = 20

Check me on that i did it in my head but it should be right
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Sam is correct.

Step-by-step explanation:

Exponent rules state that when an number with an exponent is raised to a power, the two exponents multiply.  For example, a^2^2=a^4.

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3 years ago
Answer it please and thank you..
Kruka [31]

(-6,2) Is the answer! :)


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9. Teresa was taking her two children to the zoo. She purchased 1 adult ticket for herself and 2 children's
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6 0
2 years ago
A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students. Ten of the 15 studen
iragen [17]

Answer:

A) 0.1538

Step-by-step explanation:

4 members are going to be chosen:

M1 - M2 - M3 - M4

We have to find the probability that for each member, one without experience is chosen. There is no replacents.

Initially, we have 15 students, of which 10 have none experience. So the probability that M1 is chosen as a student with no experience is \frac{10}{15}.

Then, there are 14 students, of which 9 have no experience. So the probability that M2 is chosen as a student with no experience is \frac{9}{14}.

For the third member, there are 13 students, of which 8 have no experience. So the probability that M3 is chosen as a student with no experience is \frac{8}{13}.

For the last member, there are 12 students, of which 7 have no experience. So the probability that M4 is chosen as a student with no experience is \frac{7}{12}.

What is the probability that none of the members chosen for the team have any competition experience?

This is

P = \frac{10}{15}*\frac{9}{14}*\frac{8}{13}*\frac{7}{12} = 0.1538

The correct answer is:

A) 0.1538

7 0
3 years ago
Find the slope of the line perpendicular to the line graphed below. MUST BE IN ITS SIMPLEST FORM.
NNADVOKAT [17]

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

<h3>How to determine the slope of a line perpendicular to another line</h3>

The slope of a function is determined by the secant line formula and is defined by the following expression:

m = Δy / Δx         (1)

Where:

  • Δx - Change in the independent variable.
  • Δy - Change in the dependent variable.
  • m - Slope of the line.

Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:

m' = - 1 / m

If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:

m = 3 / 2

m' = - 1 / (3 / 2)

m' = - 2 / 3

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

To learn more on slopes: brainly.com/question/2491620

#SPJ1

3 0
1 year ago
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