Answer:
f(2+h)=-(h+2/3)^2+1/4
f(x+h)=-(x+h-1/2)^2+1/4
Step-by-step explanation:
1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)
=-(h+2/3)^2+1/4
2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.
a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.
Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4
Complete Question
The displacement (in centimetres) of a particle moving back and forth along a straight line is given by the equation of motion
s = 4 sin(πt) + 2 cos(πt),
where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
i. [1,2]
ii. [1 ,1.1]
iii. [1, 1.01]
Answer:
Step-by-step explanation:
From the question we are told that
Equation of motion is given by
Generally equation for average velocity is mathematically given by
a) Co-ordinate(1,2)
b)Co-ordinate(1,1.1)
c) Co-ordinate(1,1.01)
B. Hope I helped sorry if I got it wrong
Answer:
Step-by-step explanation:
2√28 - 3√63
4√7 - 9√7
- 5√7