Question: A point is moving along the graph of x 2 - 4y 2 = 9. When the point is at (5, -2), its x-coordinate is

A point is moving along the graph of x² - 4y² = 9. When the point is at (5, -2), its x-coordinate is increasing at the rate of 3 units per second. How fast is the y-coordinate changing at that moment?

Step by Step Solution

★★★★★

3.27 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1419 dx 2x 8y dt dy dt 5 dy dt ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Consider the bill of material for product P and the data given in the following table. The master schedule requirements for P are 70 units in week 6. Items Q and R are manufactured internally by the...

A point is moving along the graph of the equation y = - 4x2. At what rate is y changing when x = 5 and is changing at a rate of 2 units sec?

A point is moving along the graph of the equation y = 5x3 - 2x. At what rate is y changing when x = 4 and is changing at a rate of 3 units sec?

A particle P is moving along the graph of y = x2 - 4, x 2, so that the x-coordinate of P is increasing at the rate of 5 units per second. How fast is the y-coordinate of P increasing when x = 3?

**All work and proper notation is needed to receive full credit.** Q1 Assuming y = f(x), compute :_xh] 02 Use implicit differentiation to find % given x3y? 4x% = 1. Q3 Find the tangent line at (1,1)...

1) A point is moving along the graph of x yz = 3087. When the point is at (7,3), its x-coordinate is changing at the rate of - 3 units per minute. How fast is the y-coordinate changing at that...

A point is moving along the graph of x y" = 10,125. When the point is at (5,9), its x-coordinate is changing at the rate of - 9 units per minute. How fast is the y-coordinate changing at that moment?...

Please complete these as soon as possible. Thank you. It's due by midnight. meterz Reiai *' 1' . , ' > '7 ,7 . > , Alisha Singh 0' (D www.webassign.net/web/Student/Assignment...

5. DETAILS LARCALC11 2.5.019. Find dy/dx by implicit differentiation. y = sin xy dy/dx = 6. DETAILS LARCALC11 2.5.036. Find the slope of the tangent line to the graph at the given point. x3 + 13 -...

an eCONCORDIA EXAMINATION Department of Mathematics & Statistics Course Number MATH Section 209 Examination EC Date Final Pages August 2015 Instructors 3 Course Examiners Dr. Hal Proppe Dr. Hal...

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. y = Vx (a) Find dy/dt, given x = 4 and dx/dt = 6. dy/ dt = (b) Find dx/dt, given x = 81 and...

Analysis of a Detroit Marathon (n = 1,015 men, n = 150 women) produced the regression results shown below, with dependent variable Time (the marathon time in minutes) and predictors Age (runner's...

On behalf of consumers, employers and local purchasers in your market are committed to slowing healthcare costs by improving visibility on hospital prices. A recent media story revealed that prices...

Directions: Define the following terms. Then use each word in a sentence. You will have two senetences for each word. Submit your work in Canvas. 1. Accountant Definition: Sentence: 2. Accounting...

From the following particulars, prepare a statement of labour cost showing the cost per day (8 hours): (a) Monthly salary: Rs 4,500 (b) Leave salary: 5% of basic salary (c) Employer's contribution to...

Compute the arithmetic mean and median for the difference in systolic and diastolic blood pressure, respectively, taken in different positions (recumbent minus standing)? Table 2.16: Effect of...

Construct stem-and-leaf and box plots for the difference scores for each type of blood pressure? Table 2.16: Effect of position on blood pressure a Systolic blood pressure b Diastolic blood pressure...

Based on your answers to Problems 1 and 2, comment on the effect of body position on the levels of systolic and diastolic blood pressure? Table 2.16: Effect of position on blood pressure a Systolic...

You have $ 5 , 0 0 0 on a credit card that charges a 1 5 % interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month ( assuming you don't charge...

Dinklage Corp. has 5 million shares of common stock outstanding. The current share price is $77, and the book value per share is $8. The company also has two bond issues outstanding. The first bond...

A Treasury bond that you own at the beginning of the year is worth $1,070. During the year, it pays $42 in interest payments and ends the year valued at $1,080. What was your dollar return and...