1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trapecia [35]
3 years ago
11

Find the derivative of the function. y = tan2(8θ)

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

16tan(8θ)sec²(8θ)

Step-by-step explanation:

Given the question :

Find the derivative of the function. y = tan2(8θ)

y = tan²(8θ)

USing chain rule :

dy/dx = (du/dx) × (dv/du) × (dy/dv)

Let u = 8θ ; du/dθ = 8

v = tan u ; dv/du = sec²u

y = v² ; dy/dv = 2v

Hence,

(dy/dθ) × dv/du × dy/dv

8 * sec²u * 2v

Where v = tan u ; u = 8θ

8 * sec²8θ * 2tan8θ

16tan(8θ)sec²(8θ)

You might be interested in
Let x denote the courtship time for a randomly selected female–male pair of mating scorpion flies (time from the beginning of in
gavmur [86]

Complete Question:

a) Is it plausible that X is normally distributed?

b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?

Answer:

a) It is plausible that X is normally distributed

b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269

Step-by-step explanation:

a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.

b) Probability that the sample mean courtship time is between 100 min and 125 min

\mu = 120\\n = 50

P(x_{1}  < \bar{X} < x_{2} ) = P(z_{2}  < \frac{x_{2}- \mu }{SD} ) - P(z_{1}  < \frac{x_{2}- \mu }{SD})

SD = \sqrt{\frac{\sigma^{2} }{n} } \\SD = \sqrt{\frac{110^{2} }{50} } \\SD = 15.56

P(100 < \bar{X}

From the probability distribution table:

P(z_{2}  < 0.32 ) = 0.6255\\ P(z_{1}  < -1.29) = 0.0986

P(100 < \bar{X}

6 0
3 years ago
The price of an item increased from 20 to 30. The percentage of increase is pls help me I have exam after a week pls I hope you
Veronika [31]

Answer: 50% increase

Step-by-step explanation:

Think of 20 as 100%

Half of 20 is 10 which is 50% in this scenario.

30-20=10

This means that the price of the item increased by 50% or 10.

6 0
2 years ago
18 divided by 20 equals
balandron [24]
0.9 is the answerrrrrrrrrrrrrr
4 0
3 years ago
Read 2 more answers
Which shows the number 27 factored into prime numbers?   A. 2 · 3 · 3   B. 1 · 3 · 3 · 3   C. 3 · 3 · 3   D. 3 · 9
Vilka [71]

Hi!

<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>

27/3 = 9

9/3 = 3

3/3 = 1

<u>3 · 3 · 3 = 27</u>

<h2>The answer is C. 3 · 3 · 3</h2>

Hope this helps! :)

-Peredhel

8 0
3 years ago
This is worth 20 points
Ann [662]
45 minutes because it has 4 dots and that’s greater than the rest on the dot plot.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the polynomial when x=4 when x= -1 in -5x+2
    8·1 answer
  • Jessica is baking a cake. The recipe says that she has to mix 96 grams of sugar into the flour. Jessica knows that 1 cup of this
    12·2 answers
  • A box contains 4 plain pencils and 4 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen
    6·1 answer
  • The perimeter of the figure is 6x. Find length of side. x + 3, 2x+4.
    5·1 answer
  • Write an equation for the sum of the measures of the two right angles
    13·1 answer
  • The Sky High Ski Club dues are $450 per season. This fee includes transportation to and from the slopes and lift tickets. Skis c
    11·2 answers
  • A package of 5 pairs of insulated gloves costs ​$32.45. What is the unit price of the pairs of gloves ​?
    11·1 answer
  • If x=5y-1and 3x+5=-32, what is the value of y
    9·1 answer
  • need help fr now becuz its for a test but i dont get it at all cuz i skip class but still ye plzzzzzz help
    13·2 answers
  • £240 is divided between Sara , Gordon and Makachy so that sara has twice as much as gordon and Gorgon gets three times as much a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!