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postnew [5]
3 years ago
13

What's the value of x?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0
It is a definitely your welcome
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Find the average value of the function f(x)=−4sin(x) on the interval [π2,3π2] and determine a number c in this interval for whic
Ber [7]

Answer:

Step-by-step explanation:

The average value theorem sets:

if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that

\frac{f(b)-f(a)}{b-a}=f'(c) , where

f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4

f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4

\frac{4-(-4)}{(3\pi/2)-(\pi/2)}=f'(c)

\frac{8}{\pi }=f'(c)

f'(x)=-4cos(x) ⇒

f'(c)=-4cos(c)=\frac{8}{\pi }\\c=acos(\frac{-2}{\pi })\\

c≅130

8 0
3 years ago
The sides of a octagon each have a length of 8x inches.write an expression for the Perimeter of the octagon in inches
miss Akunina [59]

8(8x)

<em>I hope I helped you with your solution! If I did, please give me Brainliest, and click the "thanks" button! It would truly make my day!</em>

6 0
3 years ago
What is the volume of a cone with radius 7 cm and height 11 cm? Round your answer to two decimal places.
a_sh-v [17]

Answer:

D. 564.44 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h

V = (1/3)(3.14159)(7 cm)^2(11 cm)

V = 564.44 cm^3

5 0
3 years ago
What decimal is equivalent to 15 198/200?
IrinaK [193]
It's equivalent to 75.99
8 0
4 years ago
The sum of the ages of my 3 children is 45 years.
Margaret [11]
I think A, but im not 100% sure
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