Exam: 250315RR – Conic Sections and Analytic Geometry
1. What is the vertex of the parabola y
A. (-2,11)
B. (-11,2)
C. (0,0)
D. (2,11)
2. If the conic section Ax
A. A hyperbola
B. An ellipse
C. A parabola
D. A circle
3. Translate the ellipse to be centered at (3, -1).
4. Where are the foci of the hyperbola ?
5. If an ellipse has foci (±2,0) and vertices (±3,0), locate the vertices of its minor axis.
6. Which of the following is symmetrical about the polar (or x) axis?
7. Eliminate the parameter from the parametric form of the following equation.
8. Express the parametric equations without the parameter.
9. Convert the equation of the ellipse 5x
A. The equation isn’t that of an ellipse.
10. How many asymptotes does a hyperbola have?
11. What are the substitution equations for rotating the axes back 30°?
12. Where are the foci for the ellipse ?
13. What is the equation for the directrix of the parabola y
A. x = -5
B. x = 5
C. y = -5
D. y = 5x
14. A piece of string is hung from the points (-6,3) and (6,3) in the plane so that it hangs “down” (in the -y direction) to just touch the origin at its vertex. How high above the x axis is the string over x = 2?
15. Which of the following is the polar graph of ?
16. Which conic section is comprised of two branches?
A. Parabola
B. Hyperbola
C. Circle
D. Ellipse
17. What kind of conic section is -6x
A. Circle
B. Ellipse
C. Parabola
D. Hyperbola
18. What is the equation of the directrix for the conic section ?
A. y = -6
B. y = 6
C. x = –3
D. x = 2
19. To determine which is the major axis of , which of these should you do?
A. Plug in 0 for x to find the y intercepts; these will be the vertices of the major axis.
B. Find c using the relationship c
2 to determine the locations of the foci.
C. Compare a to b, and the larger goes with the major axis.
D. Translate the ellipse to the origin using (-a,-b).
20. What is a parameterized version of the curve given by y – 3 = x + sin x?
A. y = -3t, x = y + sint
B. t = x, sinx – y + 3
C. t = – 3 = y, t + sint = x
D. x = t, y = t + sint + 3
Exam: 250316RR – Introduction to Calculus
1. The table shown gives some evidence that which mathematical statement is true?
x 7 7.9 7.9999 8.001 8.1 9
f(x) -6 -6.2 -6.297 -6.303 -6.37 -7
2. At which points is the function shown in the graph discontinuous?
A. 3.5
B. 1,3
C. -3,-1,1,3
D. Nowhere
3. Consider the figure shown. What is the value of ?
A. 3
B. 4
C. 0
D. Doesn’t exist
A. 30
B. 30x
C. 10x
D. 30x
5. Compute .
A. Doesn’t exist
B. 0.01
C. 0.11
D. 0.1
6. What is the slope of the tangent line to
A.
1
B. –
C. –
D. 1
7. Compute .
A. Doesn’t exist
B. 6
C. 7
D.
8. Find the average velocity from time t = 0 to t = 1 of a car whose position p(t) along a horizontal track is given by the equation p(t) = 4 – (t – 2)
A. 2
B. 3
C. 4
D. 1
9. Let . Is there a value of a that would make ƒ(x) continuous everywhere?
A. No
B. Yes, a = 1.
C. Yes, a = 0.
D. Yes, a = e.
10. Compute .
A. 6
B. 3
C. Doesn’t exist
D. -1
11. The area of a square with side length x is x and increasing?
A. 10
B. 5
C. 25
D. 20
12. Compute .
A. 4
B. 9
C. 1
D. 6
. What is the instantaneous rate of change in area if x is 5 13.
A. 3x
B. 13
C. 3
D. x
14. Which of these is a tangent line to y = -x
A. y = -8x + 16
B. y = -8x + 80
C. y = -16x + 80
D. y = -16x + 72
15. Compute .
A. 2
B. 0
D. Doesn’t exist
16.
A. 2x – 1
B. x – 1
C. x
D. 4x – 1
17. Where is y = lnx discontinuous?
A. Only where it’s undefined, which is for all
B. Only at zero
C. Only where it’s undefined, which is for all x < 0
D. Nowhere. It’s a smooth curve on its entire domain.
2 at x = 4?
18. Consider the figure shown here. What is the value of ?
A. 3
B. Doesn’t exist
C. 4
D. 0
19. Which of the following statements is true about the function ƒ shown in the graph below? Assume the viewing window extends from (-6,-6) to (6,6).
20. Compute .
A. 4
B. Doesn’t exist
C. 1
D. 6
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Services
Custom Writings Help is a Quality-Oriented Company in Online Writing as a result of hiring exceptional professionals to execute clients' tasks.
Essays
At Custom Writings Help,We understand the struggle of research paper writing, and that is why at Custom WritingS Help, we are all out to help you. We pride ourselves on having a team of clinical writers. The stringent and rigorous vetting process ensures that only the 'BEST' Writers are chosen for the job. We have highly qualified Ph.D. and MA writers working with us; we equally offer these experienced writers specific bonuses and incentives to make them deliver highly original, unique, and informative content at reasonably low prices.
Admissions
Thesis Writing Service
Worlwide, Many Masters Students are struggling with Thesis Completion. A thesis is likely to be the longest and most challenging piece of work a student has ever completed. However, unlike essays and other assignments, a student can pick a particular interest topic and work on their initiative. Fortunately, we are there for you. At Custom Writings Help, you are assured of an authentic, imaginative, informative, linguistically great, and advantageous thesis that adheres to all your needs. So, why continue considering different writers when you have discovered the best in the field?
Editing
Custom Papers
Not a single student can avoid writing custom papers. However, a total lack of experience, skills, and time makes it very hard to produce a superb writing piece. Therefore, if you are seeking professional help, turn to us. Our specialized and experienced writers compose a variety of model papers, including custom essays, college term papers, research papers, book reports, MBA essays, executive summaries, dissertations, Ph.D. theses, admission essays, and research proposals for college and university students at any level.
Coursework
Essay Writing
Most of the students disregard the critical principles of essay writing and compose papers below sensible guidelines. Therefore, with Custom Writings Help, one should not worry about his/her essay. Our Writers compose informative and engaging content on all complexities and topics. We write meaningful and smart essays while prioritizing all aspects that bring about a good grade, such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines.
Coursework
Coourse Work Writing
Don't let the seemingly never-ending onslaught of writing assignments get you down. If you are looking where to get course work assistance online, the writers at Custom Writings Help are here to assist you with all of your writing needs. We undertake to unique delivery of papers that meet the professor's requirements. The content is proofread, edited, and checked plagiarism before submission to customers. No matter how big or small your work is, we will deliver on time. Try US Now! !
Coursework
Dissertation Writing Service
High-Quality Dissertation Writing Services are rare. They require Ph.D. academicians – not easily found. However, are an exception. The years, time, and resources we have invested in the dissertation world has given us a competitive advantage over others. Choose to come to Custom Writings Help; You will find perfect Ph.D. consultants who have written hundreds of dissertations theses ready to help you. Let our dissertation-writing services help you craft your dissertation, for you are assured we will give you the results.