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Gekata [30.6K]
3 years ago
15

If f(x) = 9 cos2(x), compute its differential df. df = (−18cos(x)sin(x))dx correct: your answer is correct. approximate the chan

ge in f when x changes from x = π 6 to x = π 6 + 0.1. (round your answer to three decimal places.) δf = .738 incorrect: your answer is incorrect. approximate the relative change in f as x undergoes this change. (round your answer to three decimal places.)
Mathematics
2 answers:
Natali5045456 [20]3 years ago
4 0

Answer:

a

Step-by-step explanation:

Nonamiya [84]3 years ago
3 0

Given: f(x) = 9 cos (2x)

The differential equation is df = - 18 sin(2x) dx

When x contrasts from π/6 to π/6 + 01, then dx = 0.1.
The variation in f is δf = - 18 sin(π/3) *(0.1) = -1.5588 ≈ -1.559

The computation in the change in f directly:

f(π/6) = 9 cos(π/3) = 4.5
f(π/6 + 0.1) = 9 cos(π/3 + 0.2) = 2.6818
δf = 2.6818- 4.5 = -1.6382 ≈ -1.638

Direct computation of δf is near to the real value but in error. 
The two outcomes will be closer as dx gets smaller.

Answer would be:
δf = -1.559  (correct answer)
δf = -1.638 (approximate answer)

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How do you solve for the segment area in a circle?
Aleks04 [339]
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area = <span> <span> <span> 209.4395102393 </span> </span> </span>

segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412 </span> </span> </span>
triangle DEF Area = <span> <span> <span> 173.206 </span> </span> </span>

segment area = <span> <span> 209.4395102393 </span> -173.206
</span>
segment area = <span> <span> <span> 36.2335102393 </span> </span> </span>
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Source:
http://www.1728.org/circsect.htm



6 0
3 years ago
Irfon invests Rs4000 for 3 years at 3% per annum compound
ELEN [110]

Step-by-step explanation:

the answer is above but there are data that not found

7 0
2 years ago
Scateboard cost Rs450each in my local store,The shop keeper says if I buy 1 I can buyanother for only 7/9 of the normal price,ho
Whitepunk [10]

Answer:

the cost will be Rs 350

Step-by-step explanation:

The Scateboard cost Rs 450 each in the local store,The shop keeper says if I buy 1 I can buy another for only \frac{7}{9} of the normal price. We are asked to determine the cost of a second scateboard .

Hence the cost will be \frac{7}{9} of the normal cost that is

\frac{7}{9} \times 450

7 \times 50

350

the cost will be Rs 350

6 0
3 years ago
When playing roulette at the Venetian casino in Las Vegas, a gambler is trying to decide whether to bet $5 on the number 27 or t
cricket20 [7]

Answer:

Step-by-step explanation:

Given that:

To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.

Let Y represent the Amount of net profit

Then, Y= {-5, 30}

The probability distribution of Y is:

Y                        -5                        30

P(Y=y)                \dfrac{33}{38}                        \dfrac{5}{38}

a)  The expected value of X is given by:

E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}

=-0.39

= -39 \ cents

b)

On a bet of $5 on the number 25 we are expected to loose 24 cents.

While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.

Hence,  $5 bet on the number 27 is better. Because the expected loss is less in this bet

6 0
3 years ago
A line segment with endpoints A = (3, 0) and B = (7,0). Then, plot all points
eduard

Answer:

C(0,6)

Step-by-step explanation:

1) find the length of the base of the triangle

AB = 7-3 = 4

2) find the the height of the triangle

A = (base x height)/2

A x 2 = base x height

height = (A x 2)/base

height = (12 x 2)/4 = 6

3) find the equation of the line that passes threw the points AB

the two points have the same y so the equation of the line is

y = 0

4) use the formula of the distance between a point and a line to find C

|ax+by+c|/√a^2 + b^2 = distance

x = 0  

y = 6

C (0,6)

5 0
2 years ago
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