Maths 1013ans

Math1013 Calculus I Homework-1 : Due 09/23/2013 at 11:50pm HKT

This is a set of homework questions to let you review some basic algebra and get familiar with the basic types of questions that WeBWorK can ask. Give 4 or 5 significant digits for numerical answers. For most problems when entering numerical answers, you can if you wish enter elementary expressions such as 3∧ 2 or 3**2 instead of 9, sin(3 ∗ pi/2) instead of -1, e∧ (ln(3)) instead of 3, (1 + tan(3)) ∗ (4 − sin(5))∧ 6 − 15/8 instead of 12748.8657, etc. In other words, WeBWorK can compute the value of the expression you enter.

Name: Fei John WONG

(incorrect) 4. (5 pts) Consider the line graphs of the following two linear functions,

y = f (x) = −6x + 7

y = g(x) = −3x + 9

1. (5 pts) The expression 3a−5 3b−1/6 equals nar /bt where n, the coefficient, is: r, the exponent of a, is: t, the exponent of b, is:

Answer(s) submitted: • • •

−1

a) Which line has a greater slope? • A. f(x) has greater slope. • B. g(x) has greater slope. • C. Their slopes are equal.

b) Which line has a greater y -intercept? • A. f(x) has a greater y -intercept. • B. g(x) has a greater y -intercept. • C. Their y -intercepts are equal.

Answer(s) submitted: • •

(incorrect) 2. (5 pts) Simplify the expression y2 + 2y y2 − 4 and give your answer in the form of f (y) . g(y) Your answer for the function f (y) is : Your answer for the function g(y) is :

Answer(s) submitted: • •

(incorrect) 5. (5 pts) You bought a new car for $26,500 in 2005, and the value of the car depreciates by $800 each year. Find a formula for V , the value of the car, in terms of t , the number of years since 2005. V (t) = (Be sure NOT TO USE ANY COMMAS when you enter your formula. For example enter two thousand as 2000 and not as 2,000.)

Answer(s) submitted: •

(incorrect) 6. (5 pts) Solve the equation x2 − 2x − 8 = 0 by factoring. 5x 2 + 2 (x + 1) x+1 The solutions are x1 =

Answer(s) submitted: • •

(incorrect) 3. (5 pts) Simplify the...