9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 1/18
MAT250_TW_V3 | Chapter 8: Curve Sketching
(877)
... [Show More] 787-8375 HELP CENTER
Question 1
Correct
5.00 points out
of 5.00
Question 2
Correct
5.00 points out
of 5.00
Started on | Sunday, September 5, 2021, 2:04 AM
State | Finished
Completed on | Sunday, September 5, 2021, 3:47 AM
Time taken | 1 hour 43 mins
Grade | 160.00 out of 200.00 (80%)Suppose a particle’s position is given by , where is measured in
seconds and is given in centimeters. What is the velocity of the particle when
?
Select one:
a.
b.
c.
d.
On which interval is increasing?
Select one:
a.
b. and
c.
d.
f(t) = t4 t
f(t)
t = 3
v = 81 cm/sec
v = 108 cm/sec
v = 324 cm/sec
v = 1728 cm/sec
f (x) = x 3 -3x2 - 9x + 1
(-1, 3)
(-∞, -1) (3, ∞)
(-∞, 1)
(1, ∞)
9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 2/18
Question 3
Incorrect
0.00 points out
of 5.00
Question 4
Correct
5.00 points out
of 5.00
Question 5
Correct
5.00 points out
of 5.00
Consider the function
Is continuous at ?
Select one:
a. Yes, is continuous at .
b. No, f(x) is not continuous at x = 0.
c. There is not enough information.
Use the linear approximation method to estimate the value of \( \ln(2.7^2) \) in
terms of \( e \).
Select one:
a. \( \displaystyle \frac{5.4}{e} \)
b. \( \displaystyle \frac{5.4+e}{e} \)
c. \( 4- \displaystyle\frac{5.4}{e} \)
d. \( \displaystyle \frac{2e-5.4}{e^2} \)
What is the slope of the line tangent to the curve \( x^2y^2 = 1 \) at the point \( (1,
1) \)?
Select one:
a. \(0\)
b. \(1\)
c. The slope is unde¦ned.
d. \(-1\)
f(x) = x3 + x
x
f(x) x = 0
f(x) x = 0
9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 3/18
Question 6
Correct
5.00 points out
of 5.00
Question 7
Correct
5.00 points out
of 5.00
Question 8
Correct
5.00 points out
of 5.00
What is the derivative of the function \( f(x) = x^3 +2e^{2x} \)?
Select one:
a. \( 3x^2+4e^{2x} \)
b. \( 3x^2+2e^{2x} \)
c. \( 3x^2+2e^2 \)
d. \( 3x^2+2e^x \)
Use implicit differentiation to ¦nd an equation of the line tangent to the curve \( x^2
+ y^2 = 10 \) at the point \( (3, 1) \).
Select one:
a. \(y=-x\)
b. \(y=x\)
c. \(y=-3x+10\)
d. \(y=3x-8\)
A ball is rolling along the \( x \)-axis. Its position (in feet) at time \( x \) (in seconds)
is given by \( f(x) = 2\sqrt{x} \). Find its instantaneous rate of change when \( x=9
\) seconds.
Select one:
a. \( 6 \, \hbox{ft/sec} \)
b. \( \displaystyle\frac{1}{12} \, \hbox{ft/sec} \)
c. \( \displaystyle\frac{1}{3}\, \hbox{ft/sec} \)
d. \( \displaystyle\frac{2}{3} \, \hbox{ft/sec} \)
9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 4/18
Question 9
Correct
5.00 points out
of 5.00
Sketch the parabola of equation \( y=x^2-6x+9 \), and indicate its vertex.
Select one:
a.
b.
c.
d.
9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 5/18
Question 10
Correct
5.00 points out
of 5.00
Question 11
Incorrect
0.00 points out
of 5.00
What is the derivative of the function
\( f(x) = -\, \displaystyle \frac{1}{4x^6} \)?
Select one:
a. \( \displaystyle \frac{3}{2x^7} \)
b. \( -\, \displaystyle \frac{3}{2x^5} \)
c. \( \displaystyle \frac{3}{2x^5} \)
d. \( -\, \displaystyle \frac{3}{2x^7} \)
If \( \displaystyle\frac{dy}{dx}= 0 \) for a given value of \( x \), then the line tangent
to the curve \( y = f (x) \) at that value is horizontal.
Select one:
a. true
b. false
9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 6/18
Question 12
Correct
5.00 points out
of 5.00
Question 13
Correct
5.00 points out
of 5.00
What is the limit of the function in the graph at \( x=4 \)?
Select one:
a. \( \infty \)
b. \( 6 \)
c. The limit does not exist.
d. \( 2 \)
Consider the function \( y=x^2 + x + 9 \). What is the equation of the tangent line at
\( x = 2 \)?
Select one:
a. \(y=-5x+5\)
b. \(y=5x+5\)
c. \(y=5x-5\)
d. \(y=-5x-5\)
9/5/2021 Graded Midterm Exam
https://moodle.straighterline.com/mod/quiz/review.php?attempt=4095564 7/18
Question 14
Correct
5.00 points out
of 5.00
Question 15
Correct
5.00 points out
of 5.00
Question 1 [Show Less]