Answer to Question #129767 in Math for Lili

Question

1. An arithmetic progression has first term 4 and common difference 1 2. State the 100th term.
2. A geometric series has first term 6 and common ratio 3. Find the sum of the first 10
terms.
3. A = 1 −7 , B = 3 7 , C = 1 0
−1 2
−1 0
−1 1
Find:
a) BC,
b) 5A − 2C,
c) A + C,
4. Find the inverse of A = −2 1 5 −3
5. Use matrices to solve the following simultaneous equations:
2x + 3y = 10 x − 2y = −9
6. Find the gradient function of y = 3x3 − 9x + 2. Find the value of the gradient function at x = 1, x = 0 and x = −1.
7. A particle moves along a coordinate axis. Its position at time t is given by s(t) = t3 − 9t2 + 24t + 4. Find:
(a) What is the velocity of the ball ?
(b) What is the acceleration of the ball?
(c) Find the speed.
(d) what is the velocity at t = 3.
(e) What is the acceleration at t = 3.
8. Find the area under y = 1t between t = 1 and t = 5

Answer 1

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