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3 years ago

Let f(x) = sin x; Sketch the graph of f^2

Mathematics

1 answer:

Aleks [24]3 years ago

5 0

Answer: see graph

Step-by-step explanation:

Look at the Unit Circle to see the coordinates of the quadrangles.

Build a sine table for one period (0° - 360°).

x y = sin(x) y² = (sin(x))² (x, y²)

0° sin(0°) = 0 (0)² = 0 (0°, 0)

90° sin(90°) = 1 (1)² = 1 (90°, 1)

180° sin(180°) = 0 (0)² = 0 (180°, 0)

270° sin(270°) = -1 (-1)² = 1 (270°, 1)

360° sin(360°) = 0 (0)² = 0 (360°, 0)

Now plot the (x, y²) coordinates on your graph.

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A 20 foot ladder is leaning against a tree. The bottom of the ladder is 12 feet away from the bottom of the tree. Approximately

Nutka1998 [239]

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3 years ago

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sasho [114]

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3 years ago

Read 2 more answers

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in

erica [24]

Answer:

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$n=10$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =0.0217$ represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

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3 years ago

An object is hanging by a string from your rearview mirror. While you are decelerating at a constant rate from 25 m/s to rest in

lidiya [134]

The rate of deceleration is equal to 25 m/s / 6 s = 25/6 m/s^2.

(a) The string should be angled in such a way that the horizontal acceleration is equal to 25.6 and the vertical acceleration is equal to gravitational acceleration. Using trigonometry,Angle from the vertical = arctan(25/6 / 9.8) = 23.03 degrees.

(b) Since the car is decelerating, one end of the string attached to the car is pulled back and because of the inertia of the object it is goes on the opposite direction and so the object moves toward the windshield.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

Kendra flips a fair coin two times. What is the probability that she will flip tails both times?

wolverine [178]

Answer: 1/4 or 25%

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The chance of flipping tails is 1/2, so you multiply 1/2*1/2 (for the 2 flips) to get 1/4 (1/2^2=1/4).

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2 years ago