posted by .

We're doing a lab in my Calc II class and I'm stuck on this question. I tried to do it by looking at instructions for a similar question in the book, but it made me more confused. Here is the question and my work:

Find the area of the region enclosed by the lines and curves:
x-(y^2)=0 and x+2(y^2)=3

Here is my work:
x= (y^2) and x= 3-2(y^2)
(y^2)= 3-2(y^2)
y=-1, 1
That's following what the book showed my to do. However, the book used those y values as the upper and lower bounds of the integral, but by looking at the graph that doesn't make any sense. If I used those as the upper and lower bounds, the answer I got was 4 units^2. How do I do this problem?

  • Calculus -

    I still keep getting 4. At this step:
    area= int (3-2y^2-y^2) dy
    = int (3(y^2-1) dy
    shouldn't it be int(3(1-y^2)?
    I did this:

    3int(dy)-3int(y^2)dy= 3y- (3(y^3)/3) = 3y-(y^3) from 1 to -1... filling those in, I get 4. Am I still making a mistake?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Here is the math problem. 150 is 75% of what number?
  2. sciece

    ok here is my question and plse help me in my science book its like all scientical and stuff and it just confuses me even more ok so here is my question how you can tell if something is a chemical or a physical change thanx a million
  3. Chemistry

    Please help me with this chemistry question?
  4. Pre-Calc

    Here I am again stuck with another geometry type question. Here goes: A rectangle is inscribed between the x-axis and the parabola y=36-x^2 with one side along the x-axis. He drew the picture with the parabola at points (-6,0) (6,0) …
  5. Pre Calculus

    ok I appologize for my stupidity... I'll answer your question... ok instructions to this problem In problems 77-88, use properties of the trigonmetric functions to find the exact value of each expression. Do not use a calculator 85. …
  6. communication

    Which of the following is NOT a question you need to answer to choose a persuasive strategy?

    I am having a ton of trouble with this lab question, I do not understand it at all. The question is: Show how the rate of reaction in reciprocal seconds was calculated for the mixture in question 1, using the class average. The mixture …
  8. chemisty

    I'm totally confused about this question....I don't know what kind of an answer the teacher is looking for. The worksheet has the header "Preparation of solutions for Beer's Law Lab." That's the question: Describe the …
  9. Chemistry

    I'm in 10th grade and we did a titration lab; with every lab we have to answer follow up questions and I'm totally stuck on this one: We did not uses the volume of the water added initially to the Erlenmeyer flask in our calculations. …
  10. Quick Science Question

    I have a question. Is a Atwood Machine a suspended pulley?

More Similar Questions