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
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4
⇒
c≅130
Can I have help with question a and c
2 answers:
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<u>ANSWER: </u>
(-5, 0.5) is the solution of given equation x – 4y = –7, 0.2x + 2y = 0.
<u>SOLUTION: </u>
Given, two equations are x – 4y = -7 → (1)
And 0.2x + 2y = 0 → (2)
We have to find whether (-5, 0.5) is a solution of given system or not.
For that, we have to solve the given two equations.
Before solving let us multiply equation (2) with 2 in order to get y terms cancelled. Such that, our process becomes easy.
Now equation (2) becomes
0.4x + 4y = 0 → ( 3 )
Now, add equation (1) and equation (3), we get
1.4x + 0 = -7
Now, substitute x value in (2)
0.2(-5) + 2y = 0
-1 + 2y = 0
2y = 1
y = 0.5
So, the solution for given equations is (-5, 0.5).
Hence (-5, 0.5) is the solution of given equations.