Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
This is a practice final exam for math 3c course in winter 2009. It covers various topics in mathematics including trigonometry, polynomials, functions, and calculus. The exam consists of 10 questions, including solving equations, determining true or false statements, analyzing the path of a moving object, finding the domain, range, and inverse of functions, solving systems of equations, graphing functions, and solving problems related to interest compounded yearly.
Typology: Exams
1 / 10
This page cannot be seen from the preview
Don't miss anything!
Math 3C - Winter 2009 - Practice Final Exam
Name and ID: Section:
Please turn off cellular phones, pagers, and computers. No calculators nor notes are allowed. Make sure that your name is written legibly above. Please read each question carefully and answer in a way which indicates your understanding of the material. You have until the end of the period to finish.
(a) cos(θ) = (^12)
(b) cos(2θ) + cos(θ) = 0
(c)
2 cos(2θ) = 1
(a) T F x^5 /^2 + 4x^3 /^2 + x + 1 is a polynomial.
(b) T F Every line y = mx + b intersects the x-axis exactly once.
(c) T F
√ 2 2 =^ √^1 2
(d) T F The period of sin(2x) + 1 is 1.
(e) T F The function tan(θ) is always the slope of the line which forms an angle of θ with the x axis.
(a) f (x) = x + 1 x − 1
(b) g(x) = 2e^1 −x.
(a) 2x^2 + x = 1.
(b) sin(2t) = sin t.
(c) x + y = 3 and 3x − y = 3.
x
π 6
4 5
√ 5
(a) What must the interest rate be if one year later there is $500 in the account?
(b) How long will it take for the amount of money to double? Your answer can be left in calculator-ready form.
x 1 2 3 f (x) 3 4 5 g(x) 3 6 12 h(x) 3 12 27
a) f :
b) g:
c) h:
