 # Straigherline MAT 251 Calulus 2 Unit 6 Test Solutions

Please see attached file for formatted questions

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Review Test Submission: Graded Exam - Unit 6
Test Graded Exam - Unit 6
Status Completed
Score 90 out of 150 points

Question 2
A tank is formed by revolving the graph of 4 around they-axis. The tank has a height of 16. Find
y=x
the value of m such that the line y = m represents the height at which the tank is half full. Round your

Question 3
Given the differential equation = f(x, y) and Initial condition y(xo) =-yo. Euler's
method uses the following equation to approximate successive points on the solution
curve:

Question 4
Particles A and B are located on the x axis • The masses and positions of the partldes
are given by:

What is the center of mass ot this two particle system?

Question 5
An object is moving along the coordinate line with velocity v(t) = 5 cost, 0 \$ 1\$ 21t.
What is the object's displacement during the interval from t= 0 to/= 21t?

Question 6
If an object is displaced a distanced by a constant force F, then the amount ofworl< done
is given by the equation:

Question 7
Which of the following integrals represents the area of the surface fanned by revolving the

Question 9
Suppose that a force of 20 N stretches a spring 0.4 m beyond its natural length.

Question 10
Find the volume of the solid obtained by rotating the area bounded by y = sinx and the
x -axis on the interval 0 sx s 21t about the x-axis .

Question 11
Given the differential equation ~ =x + y and Initial point ( 0, 0 ), use Euler's method with
step size l!.x = 0.5 to approximate the coordinates of the next three points.
(x3,y3)=

Question 12
Suppose that f(x) is the probability density function describing the distribution for the
number of minutes H tekes to solve a puzzle.
Which of the following represents the probability that you witl solve the puzzle in 8·10
minutes?

Question 13
Find the length of the arc:
x=3cost+ I, y =3sint-S, OstS!t

Question 15
A projectile Is shot Into the air with lnital speed vo = 40 and angle of elevation 9=~What
is the position of the projectile at t = 3 ?

Question 16
Which of the following differential equations is NOT separable?

Question 17 0 out of 7.5 points
A solid has a flat base. which is bounded by the graph of y = :; and y = .Jx in the first quadrant only.
Each cross section of the solid p erpen dicula r to the x- axis is the shape of a square. Find the value of k

Question 18 0 out of 7.5 points
Given a curve defined by the parametric equations:
y =3t
The area under the curve from t = 0 to t = 3 is given by:

Question 19
Suppose we have a rod that is 6 meters long, with density function p(x) = 2x + 3.
What Is the center of mass of the rod?

Solutions are NOT perfect see file for score report 90/150

Subjects: Calculus II, Intermediate Calculus
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Subjects: Calculus II, Intermediate Calculus
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## Straighterline, Blackboard MAT251

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