Answer:
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Step-by-step explanation:
the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is
av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4
thus
av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]
= 2*sin (π/2) /(π/2) = 4/π
then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are
4/π = 2 cos(2c)
2/π = cos(2c)
c = 1/2 cos⁻¹ (2/π) = 0.44
c= 0.44
since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation
thus
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Answer:
Step-by-step explanation:
cyril was completing a uniform velocity at first and then had a slight decrease in its speed..and then again..increased its velocity all through the journey...
gertie had a uniform speed till 17 cm/s and the had a decrease in its velocity ... and finally got back to its initial velocity...
harold was increasing its velocity from rest and then took rest after 15 metres and then again moved with an increasing velocity after 40 seconds
So 63 divde by 7 = 9 so we need to multiply 2 by 9 to get the answer and 2 * 9 = 18
18% of 40 is 40 times 0.18 which is 7.20. Add that to the initial 40 dollars he got paid and your answer is 47 dollars and 20 cents.
Not to seem rude, but you might have better luck in Business. Unless someone here know accounting lol
