1. Which of the following is true: Velocity is the integral of acceleration Velo
ID: 2850905 • Letter: 1
Question
1. Which of the following is true:
Velocity is the integral of acceleration
Velocity is the derivative of acceleration
Distance is the integral of acceleration
Distance is the derivative of velocity
None of the above
2. f'(x) = 3x2 -3x and f(0) = 12. Find f(2). Give your answer correct to two decimal places.
3. f'(x) = 6x+10 and f(1) = 10. Find f(4)
4. f''(x) = 4x-4, f(0) = 7. f'(0) = 7. Find f(5). Give your answer correct to two decimal places.
5. R''(x) = 16-0.7x, R'(7) = 102. Find R(2). Give your answer correct to two decimal places.
aVelocity is the integral of acceleration
bVelocity is the derivative of acceleration
cDistance is the integral of acceleration
dDistance is the derivative of velocity
None of the above
2. f'(x) = 3x2 -3x and f(0) = 12. Find f(2). Give your answer correct to two decimal places.
3. f'(x) = 6x+10 and f(1) = 10. Find f(4)
4. f''(x) = 4x-4, f(0) = 7. f'(0) = 7. Find f(5). Give your answer correct to two decimal places.
5. R''(x) = 16-0.7x, R'(7) = 102. Find R(2). Give your answer correct to two decimal places.
Explanation / Answer
1)Velocity is the integral of acceleration is true
2. f '(x) = 3x2 -3x and f(0) = 12. Find f(2). Give your answer correct to two decimal places.
f(x)= integral f '(x) dx
f(x)= integral 3x2 -3x dx
f(x)= 3x3/3-3x2/2 +c
f(x)= x3-3x2/2 +c
f(0)= 03-3*02/2 +c =12
==>c=12
f(x)= x3-3x2/2 +12
f(2)= 23-3*22/2 +12
f(2)=8-6+12
f(2)= 14
3. f'(x) = 6x+10 and f(1) = 10. Find f(4)
f(x)= integral f '(x) dx
f(x)= integral 6x+10 dx
f(x)= 6x2/2 +10x +c
f(x)= 3x2 +10x +c
f(1)= 3*12 +10*1 +c=10
c=-3
f(x)= 3x2 +10x -3
f(4)= 3*42 +10*4 -3
f(4)= 85
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.