a curve is defined for x>0 and is such that dy/dx=x+4/x^2

The point P(4,8) lies on the curve.
in Calculus Answers by Level 12 User (101k points)

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

8 Answers

By integration:
by Level 12 User (101k points)
Y={xdx+4{x^-2 dx
by Level 12 User (101k points)
=x^2/2-4/x+c,°
by Level 12 User (101k points)
Let (c): curve
by Level 12 User (101k points)
P€(c) : y(4)=8
by Level 12 User (101k points)
That is 4^2/2-4/4+c base 0 =8
by Level 12 User (101k points)
→ c base 0 =1
by Level 12 User (101k points)
Y=x^2/2 - 4/x + 1
by Level 12 User (101k points)

Related questions

1 answer
show that (1-x^2)dy/dx+y=0
asked Jun 22, 2017 in Calculus Answers by Poulami | 702 views
9 answers
x^y=e^x-y , prove that dy/dx=lnx/(1+lnx)^2
asked Jan 25, 2014 in Calculus Answers by Jennifer A. Cascaño Level 12 User (101k points) | 1.8k views
16 answers
solve: (2x+3y-1) dx+(2x+3y-5) dy=0
asked Feb 1, 2014 in Calculus Answers by Jennifer A. Cascaño Level 12 User (101k points) | 3.1k views
54 answers
dy/dx=x+y^2 , y(-2)=0
asked Jan 24, 2014 in Algebra 2 Answers by Jennifer A. Cascaño Level 12 User (101k points) | 7.1k views
45 answers
solve: (x+y•sin^2(y/x)) dx=x^2 SIN(y/x) dy
asked Feb 1, 2014 in Calculus Answers by Jennifer A. Cascaño Level 12 User (101k points) | 5.3k views
13 answers
if Y=e^ax•COS^3 X•SIN^2 X find dy/dx
asked Jan 24, 2014 in Algebra 2 Answers by Jennifer A. Cascaño Level 12 User (101k points) | 3.1k views
1 answer
solve dy/dx-y=e^x/x given that y(e)=0
asked Mar 11, 2016 in Calculus Answers by anonymous | 884 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,211 users