Calculus

I have a couple of questions and i wanted to know if my answers are correct. Thanks in advanced!

1. Determine the values of x for which the function f(x)=x+2/x-2 is discontinuous

Would the answers be x=2 because the function would be undefined?

2. An oil tank is being drained for cleaning. After t minutes there are v litres of oil left in the tank, where v(t)=35(25-t), 0<=t<=25
a) determine what v(25) represents

I substituted t+25 into the equation and got 0 as my answer. Would the 0 represent that the tank is completely drained?

b) determine the average rate of change of volume during the first 15 minutes

i got -1225 as my answer (would there be a unit, like litres?)

c) determine the rate of change of volume at the time t=15 minutes

is the question asking for the instantaneous rate of change? i'm not sure what they are asking for

  1. 👍 0
  2. 👎 0
  3. 👁 311
  1. your value x=2 is correct.

    a) yes, but v(25) represents the amount of fluid remaining after 25 minutes. It just happens also to be true that at that time the tank is empty.

    b)
    v(0) = 875
    v(15) = 350
    volume changed by -525 in 15 minutes, for an average rate of change of

    -525L/15min = -35 L/min

    c) the rate of change is constant: -35L/min since

    v(t) = -35t + 875

    instantaneous rate of change is the derivative

    v'(t) = -35

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Statistical questions will have. A)Only one correct answer**** B)A variety of answers C)Fewer than three answers D)No answers

  2. Statistics Algebra 2

    A 10-question multiple choice test has 4 possible answers for each question. A student guesses on all ten answer. a)What is the probability that the student selects at least 6 correct answers? b)Is getting exactly 10 questions

  3. American History

    Why did loyalists oppose separation from England? Select the two correct answers. A. They wanted to continue to resist the Intolerable Acts. B. They feared a loss of property. C. They argued independence would upset France. D.

  4. Math

    A true-false test has 5 questions. What is the probability of guessing the correct answers to all of the questions? A. 1/25**** B. 1/10 C. 1/32 D. 1/7

  1. Statistics

    A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses, estimate the probability of getting at least 20% correct? Trouble with deciding p,

  2. math

    A student takes a multiple choice quiz with 12 questions and 5 alternatives per question. Unfortunately, this student has no idea what any of the answers are, so he randomly selects an alternative for each question on the exam.

  3. Penn Foster

    I am looking for the questions to these exams..all I keep getting are the darn answers...I want to compare my answers before I submitt anyone have the orginal questions? to these Anyone have the questions for the penn foster exams

  4. Math (check answer plz)

    13. A true-false test has 12 questions. What is the probability of guessing the correct answers to all of the questions? (1 point) A: 1 over 4096*******? B: 1 over 144 C: 1 over 24 D: 1 over 14

  1. Statistics

    1. Statistical questions will have...? A Only one correct answer B. A Variety of answers C. Fewer of three answers D. No answers

  2. Math

    13. A true or false test has 8 questions. What is the probability of guessing the correct answers to all the questions? A. 1/10 B. 1/16 C. 1/64 D. 1/256

  3. probability

    a multiple choice test consists of 8 questions, each with 4 possible answers but only one of which is correct.what is the probability that an unprepared student will, by chance, get, a. all correct answers, b. exactly 5 correct

  4. statistics

    Multiple-choice questions each have five possible answers left parenthesis a comma b comma c comma d comma e right parenthesis​, one of which is correct. Assume that you guess the answers to three such questions. a. Use the

You can view more similar questions or ask a new question.