$Math Homework Answers$

Questions
Hot!
Unanswered
Tags
Users
Ask a Question
Advertise With Us

Find the equation of the family of curves whose slope at any point (x,y) is x/y

Home
Calculus Answers
Find the equation of the family of curves whose...

Find the equation of the family of curves whose slope at any point (x,y) is x/y

asked May 10, 2022 in Calculus Answers by anonymous

Please log in or register to add a comment.

Your answer

Your name to display (optional):

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

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.

1 Answer

The slope is dy/dx, so:

dy/dx=x/y, ydy=xdx, integrating: y²/2=x²/2+c, which can be written:

x²-y²=2c which is a family of rectangular hyperbolas. However, when c=0, it represents a pair of straight lines.

answered May 10, 2022 by Rod Top Rated User (1.2m points)

Please log in or register to add a comment.

Related questions

1 answer

Find the equation of the curve whose slope at any point (x,y) is given and which passes through the specified point. Slope is x√y; through (1,9)

asked May 10, 2022 in Calculus Answers by anonymous | 598 views

1 answer

Find the equation(s) of the tangent line to the ellipse x^2/a^2 + y^2/b^2 =1 with radius m at any point (x0,y0)

asked Mar 22, 2023 by anonymous | 311 views

1 answer

y = f(x), the slope of any point (x,y), is twice the value of x.

asked Mar 26, 2013 in Calculus Answers by anonymous | 1.7k views

calculus problems

1 answer

find the equation of the family of the line that pass through the point (-2,1)

asked Aug 14, 2012 in Geometry Answers by jho Level 1 User (120 points) | 749 views

can you solve the problem and give me a step by step guide on how i sould solve the problem

1 answer

show that a function f(x)=sin(x) and f(x)=cos(x) are continuous at any point of the interval [0,2 pi]

asked Jun 15, 2017 in Other Math Topics by ag | 663 views

1 answer

find the slope and equation of tangent line at the given point.f(x)=8x-2x^2(-2,-24)

asked Mar 6, 2013 in Calculus Answers by anonymous | 1.1k views

slope of a line

2 answers

Find the slope and equation of tangent line at the given point.f(x)=7x-2x^2 (-1,-9)

asked Feb 19, 2012 in Calculus Answers by anonymous | 2.9k views

slope of a line

1 answer

a line segment begins at the point (-4, -9) and ends at the point (21, 31.625). What’s the point that splits this line segment into two segments whose lengths are inthe ratio of 2:3

asked Apr 17, 2018 in Geometry Answers by anonymous | 1.3k views

geometry problem

1 answer

Smith's family wants to have 3 children. Find a probability that his family has...a) All 3 girls b) At most 1 girl

asked Dec 9, 2016 in Other Math Topics by anonymous | 1.0k views

probability

1 answer

find the probability that a family of four selected at random spends between $150 and $200

asked Jun 6, 2014 in Statistics Answers by James | 919 views

probability

1 answer

find the slope of the curve with the eaquation y=In(x+2y) at the point (1,0)

asked Apr 18, 2013 in Calculus Answers by anonymous | 711 views

calculus problems
slope of a curve

1 answer

In a three child family the probability that there are at least two girls is?

asked Apr 18, 2018 in Statistics Answers by Ely | 585 views

probability

1 answer

If a tax of $1,650 is charged on a single-family home assessed at $93,000, determine the property tax on an apartment complex assessed at $254,200.

asked Sep 24, 2017 in Algebra 2 Answers by Deezee | 439 views

math problem
word problem
calulating cost against a percentage

2 answers

The people at the Clark family reunion ate 32 3/4 pizzas. Each pizza had 8 slices . How many slices of pizza 8 slices. How many slices of pizza were eaten?

asked Jan 15, 2016 in Word Problem Answers by Ashanti | 1.1k views

fraction word problems

1 answer

Find the cartesian equation of the curves with the parametric equation of x=3/1+t^3, y=t^2/1+t^3

asked Jul 15, 2013 in Geometry Answers by Sherreeen Level 1 User (220 points) | 663 views

cartesian equation

1 answer

Any two numbers whose digits add up to 3 or 6

asked May 11, 2013 in Pre-Algebra Answers by anonymous | 872 views

algebra

1 answer

Write the quadratic equation in vertex form for the quadratic function whose vertex is (-7,6) and that passes through the point (3,-5).

asked Jan 7, 2018 in Calculus Answers by Sydney | 1.5k views

how should i write this equation?

1 answer

determine the general form of the equation of the circle whose center is (3,2) and whose graph contains the point (1,2)

asked Jun 17, 2017 in Calculus Answers by keang | 5.0k views

general form
standard form of an equation
distance formula

1 answer

The slope of the tangent to the curve (y-x^5)^2 = x (1+x^2)^2 at the point (1, 3) is

asked May 20, 2016 in Calculus Answers by Juhitha | 767 views

applications of derivatives

1 answer

The slope of the tangent to the curve x= t square+3t-8,y=2t square-2t-5 at the point(2,-1) is?

asked May 7, 2016 in Calculus Answers by Kantesh | 1.4k views

slope of a line
differentiation

Remember

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

50+50-25X0+2+2= (19)
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)
Solve 15 -1(12÷4+1)? (4)
8:4(5+2) (3)
How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

algebra problems solving equations word problems calculating percentages math problem geometry problems calculus problems math fraction problems trigonometry problems rounding numbers simplifying expressions solve for x order of operations probability algebra pre algebra problems word problem evaluate the expression slope intercept form statistics problems factoring polynomials solving inequalities 6th grade math

87,516 questions

100,279 answers

2,420 comments

732,376 users

Send feedback
privacy policy

Donut Theme with by Amiya Sahu

Powered by Question2Answer

mathhomeworkanswers.org