These are calculus questions with answers, I just need someone to show work for each question.

profilezeig013

Directions: Here are 9 calculus questions that have already been answered, I just need someone to clearly show work for each question, and show how you got the answer.

 

1. If the position of an object moving along a straight line is given by s left parenthesis t right parenthesis equals 6 t cubed minus 4 t squared plus 6 t.  at time t find its acceleration.

Answer: a space left parenthesis t right parenthesis equals 36 t minus 8

2. Differentiate  and simplify your answer, leaving it in radical form and give your answer as a fraction. 

Answer: g left parenthesis x right parenthesis equals fraction numerator minus 20 x over denominator square root of left parenthesis 4 x squared plus 9 right parenthesis cubed end root end fraction

3. Differentiate f left parenthesis x right parenthesis equals fraction numerator 2 over denominator left parenthesis 3 x squared plus 7 plus 1 right parenthesis squared end fraction and simply your answer

Answer: f left parenthesis x right parenthesis equals minus fraction numerator 24 x plus 28 over denominator left parenthesis 3 x squared plus 7 x plus 1 right parenthesis cubed end fraction

4. Find the second derivative of the given function. In each cas, use the appropriate notation for the second derivative and simplify our answer. You needn't factor your answer. 

Answer:fraction numerator d squared y over denominator d x squared end fraction equals 216 x minus 180

5. Find the equation for the tangent line to the given curve at the point where x=1.

Answer: y= -29x+34

 

6. It is estimated that t years fron now, the population of a certain suburban community will be P left parenthesis t right parenthesis equals 16 minus fraction numerator 4 over denominator t plus 9 end fraction thousand.  Derive a formula for the rate at which the populaion will be changing with respect to time t years fron now.

Answer: 4 over open parentheses t plus 9 close parentheses squared thousand per year

7. It is estimated that t years fron now, the population of a certain suburban community will be P left parenthesis t right parenthesis equals 57 space minus fraction numerator 90 over denominator t plus 4 end fraction t h o u s a n d. By how much will the population actually increase during the second year? During the second year, the population will increase by?

Answer: 3 thousand people.

8. Find limit as x rightwards arrow 6 of fraction numerator x squared plus 11 x plus 30 over denominator x squared minus 36 end fraction if it exists. Give your answer in fraction form, If it is infinite, indicate if the limit is plus infinity space o r space minus infinity

Answer: limit as x rightwards arrow minus 6 of fraction numerator x squared 11 x plus 30 over denominator x squared minus 36 end fraction equals fraction numerator minus 1 over denominator minus 12 end fraction

9. Do not factor the numerator of your answer. Differentiate the given function. f left parenthesis x right parenthesis equals fraction numerator x squared minus 3 x plus 4 over denominator 2 x squared plus 2 x minus 2 end fraction

Answer: 

  • 8 years ago
  • 12
Answer(3)

Purchase the answer to view it

blurred-text
NOT RATED

Purchase the answer to view it

blurred-text
NOT RATED
  • attachment
    solved.docx

Purchase the answer to view it

blurred-text
NOT RATED