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2 years ago

What’s the reminder when 14,952/41

Mathematics

2 answers:

lesya692 [45]2 years ago

4 0

Answer:

the answer for this question would be 28

Step-by-step explanation:

FinnZ [79.3K]2 years ago

4 0

The remainder would be 28

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Evaluate the definite integral from pi/3 to pi/2 of (x+cosx) dx

Vadim26 [7]

Answer:

$\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + 1 - \frac{\sqrt{3}}{2}$

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx$

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {x} \, dx + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx$
[Left Integral] Integration Rule [Reverse Power Rule]: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx$
[Right Integral] Trigonometric Integration: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \sin x \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}}$
Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + \bigg( 1 - \frac{\sqrt{3}}{2} \bigg)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0

1 year ago

Read 2 more answers

Write the following equations in slope intercept form

Rus_ich [418]

Answer:

problem 1 2x+5y= 0

×=-1/2-5/2y

problem 2 y=1 3/7y y=-1.428571

7y=-10

problem 3 x=-7

problem 4 x-y=20

x=-20

7 0

3 years ago

Help pleaseeeeeeeeee

Korolek [52]

Answer:

2x+2x is 4 +3x is 12+ 1 is 13 + 3 is 15 - 2 is 13 -1 is 12

so x=15

and y=12

7 0

2 years ago

4) Which number would divide the numerator and the denominator of the first

pav-90 [236]

Answer:

2/2

Step-by-step explanation:

I think so, because 14/2 = 7 and 18/2 = 9

6 0

2 years ago

On a test that has a normal distribution, a score of 60 falls two standard deviations above the mean, and a score of 42 falls on

Sergeu [11.5K]

Answer:

Step-by-step explanation:

Given that:

$A \ score \ of \ 60 \ falls \ two \ standard \ deviations \ above \ the \ mean \\ \\ A \ score \ of \ 42 \ falls \ one \ standard \ deviation \ below \ the \ m ean$

The interval for score = 60 - 42 = 18

If we divide it by the 3 standard deviations; the interval result into

= 18/3

= 6

So, the standard deviation is 6, and the mean = 42 + 6

= 48

7 0

2 years ago

Read 2 more answers