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Assignment 3 Power Series and Taylor Series: P
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Problem 8
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cos(4x2) - 1
(1 point) Let f(x) =
Evaluate the 10th derivative of f at x = 0.
x2
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f(10)(0) =
Hint: Build a Maclaurin series for f(x) from the series for cos(x).
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Answer:

If that number is 211, then any value below -26 will work

Answer:

YES SIR OR I MEANT YES MAM

Answer:

Answer is in the photo so you have so look in this give wribsite

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

Answer:

See diagram below.

====================================================

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

-------------------

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

Answer:

299.25

Step-by-step explanation:

Im pretty sure this is correct!!

Answer:

$100

Step-by-step explanation:

399.99 * 0.25 = 99.9975 (100)

399.99 - 100 = 299.99

$299.99 = Cost after discount

Answer:

Rice and other items are being cooked in pressure cookers

I hope it helps you

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

Answer:

I have heard of it but I myself do not

Answer:

What's vava just wondering also your in 8th grade?

Answer:

Answer:

your answer will be 127.17 sq in

Step-by-step explanation:

hope it helps you

have a wonderful day!!!

Answer:

=127.23

Step-by-step explanation:

we can start of by finding the area of a CIRCLE

18/2=9

9=radius

area of circle= pi*r squared

9 squared=81*pi=254.4690

Now we can half the area of the circle to find out the area of the semi circle as a semi circle is just half a circle therefore half the area of a circle

254.469/2=127.2345

127.2345=127.23

=127.23

Hope this helped

Answer:

The answer is B.

Answer:

b) A = π ([tex]5^{2}[/tex])

Step-by-step explanation:

area = π [tex]r^{2}[/tex]

diamter

⇒ 10

radius is half of the diameter

⇒ 10 ÷ 2 = 5

area = 3.14 × [tex]5^{2}[/tex]

Answer:

1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces

2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.

This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]

1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?

This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So

X = 8.02

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 7.76

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a pvalue of 0.2578

0.5 - 0.2578 = 0.2422

0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.

2. What is the probability that a hamburger selected at random with less than 7.52 ounces?

This is the pvalue of Z when X = 7.52. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1056

0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

Answer:

30%

Step-by-step explanation:

subtract the post-discount price from the pre-discount price

64.99 - 45.49 = 19.50

divide the answer by the original price

[tex]\frac{19.50}{64.99}[/tex] = 0.30

multiply the answer by 100

0.30 x 100 = 30%

to check:

take the original number and multiply it by the decimal form of the percentgae:

64.99 x 30% (0.30) = 19.50

take the answer and subtract it from the orginal answer

64.99 - 19.50 = 45.49

Answer:

75

Step-by-step explanation:

alternate interior angles are always equal, so that means 6 = 4 = 75.

Answer:uhmmmmm

Step-by-step explanation:

Answer:

Wheres the statements?

Step-by-step explanation:

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

The zero is the value of x that makes the linear factor zero:

  5x +0 = 0

  5x = 0 . . . . . simplify

  x = 0/5 = 0 . . . . divide by 5

The associated zero is x = 0.

Answer:

x = 14

Step-by-step explanation:

The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:

24*x = 21*16

24x = 336

Divide both sides by 24

24x/24 = 336/24

x = 14

Answer:

$28.8

Step-by-step explanation:

6x32=192

15% of 192 is 28.8

Answer:

Consecutive angles are supplementary is not character of parallelograms

Answer:

a. y= 4 + 0.50x  b. y= 1.00x

Step-by-step explanation:

Answer:

a. y = 0.5x +4  b. y = x

Step-by-step explanation:

a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.

m  = $0.50 per mile

b = $4 per ride

y = 0.5x +4

b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.

m  = $1 per mile

b = $0 per ride

y = x

Answer:

$21 is the correct answer

Answer:

Step-by-step explanation:

First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35

0.35 (40) = 14

35 - 14 = 21

So, the discounted price is now $21.

Answer:

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = 26°

Answer:

180

Step-by-step explanation:

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

Answer:

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.

This means, respectively, that [tex]k = 5, N = 18[/tex].

9 vessels are randomly targeted and destroyed

This means that [tex]n = 9[/tex]

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]

[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.