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Mockquiz-Calculus I

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11 views1 page

Mockquiz-Calculus I

Uploaded by

kienduong160
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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MATH 1010 – Calculus 1, Fall 2023, Quiz 1 - October 22.

Duration: 35 minutes
Student Name Student ID

Notice:

• WRITE YOUR ANSWER FOR EACH QUESTION IN EXACTLY 1 PAPER SHEET.

• This is a closed-book test, no materials are allowed.

• Do not discuss to each other.

• Do not put any the electronic devices on your desk.

• Crying are allowed, but do not wipe your tears by the paper sheet.

MOCK QUIZ
Scale: 50 points

1. (15 points) Find a such that the function f ( x ) continuous at x = 0


( π
x sin( ) if x ̸= 0,
f (x) = x
a if x = 0.

2. (10 points) Find the tangent lines to the curve

2x − 4
y=
x−3
at x = 4.

3. (15 points) Motivated by the superball show: Beyonce is believed to be worth 400 mil-
lion and Shakira’s net worth is believed to be 300 million. Can you argue that there
was a moment when Shakira’s fortune was exactly half of Beyonce’s fortune? State the
theorem that you use.

4. (10 points) Find a function f such that f has infinitely many discontinuous points.
Explain why your answer is true.

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