Question: Suppose y = 2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x =

$Suppose y = \\ 2x + 1, where x and y$

Suppose y = \\ 2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4, dy _ dt (b) If dy/dt = 2, find dx/dt when x = 40. dx dt

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Mathematics Questions!

Suppose y = root ( 2 x + 1 ) , where x and y are functions of t . ( a ) If dx / dt = 1 5 , find dy / dt when x = 4 . dydt = ( b ) If dy / dt = 3 , find dx / dt when x = 4 0 . dxdt =

The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 60 mm? (Round your answer to two decimal places.) mm3/s Need Help? _'...

4. [IO.83 Points] DETAILS SCALCET8 3.9.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed...

1. Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 58 m. (Round your answer to two decimal places.) 2. The radius...

5. [-/2 Points] DETAILS SCALCET8 3.9.009. Suppose y = \\ 2x + 1, where x and y are functions of t. (a) If dx/dt = 12, find dy/dt when x = 4. dy = dt (b) If dy/dt = 2, find dx/dt when x = 12. dx dt...

I don't know how to answer this question Suppose y = \\ 2x + 1, where x and y are functions of t. (a) If dx = 9, find dy when x = 4. dt dt dy - dt (b) If dy - 2, find dx when x = 12. dt dt dx dt

1.3,7,9, 11, 13, 17, 19, 3.9 EXERCISES 1. If V is the volume of a cube with edge length x and the cube expands as time passes, find dV/di in terms of dx/dt. 3 cm/s. How fast is the x-coordinate of...

A common inhabitant of human intestines is the bacterium Escherichia coif, named aFter the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a...

1. [-/20 Points] DETAILS SCALCET8 3.9.003. Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square increasing when the area of the square is 81 cm2? cm / Need...

Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. %3D dy dt 1 (b) If dy/dt = 4, find dx/dt when x = 24. dx dt

Fort Worth Corporation began business in January 2010 as a commercial carpet-cleaning and drying service. Shares of stock were issued to the owners in exchange for cash. Equipment was purchased by...

Entries for Installment Note Transactions On the first day of the fiscal year, Shiller Company borrowed $69,000 by giving a seven-year, 9% installment note to Soros Bank. The note requires annual...

Compute the following values of f ( x ) , which is the graph given ( no work required ) . ( Note: If an answer does not exist, write DNE ) ( 2 points each ) a . lim $ & ( ) b . f ( 8 ) c . lim $ + ,...

The free-rolling ramp has a mass of 40 kg. A 10-kg crate is released from rest at A and slides down 3.5 m to point B. if the surface of the ramp is smooth, determine the ramps speed when the crate...

A motor with a.200-horsepower output is needed in the factory for intermittent use A Graybar motor costs $7000, and has an electrical efficiency of 89%. A B1ueball motor costs $6000 and has an 85%...

Determine the specific volume of superheated water vapor at 3.5 MPa and 450C based on (a) The ideal-gas equation, (b) The generalized compressibility chart, and (c) The steam tables. Deter mine the...

A counter flow, concentric tube heat exchanger is designed to heat water from 20 to 80C using hot oil, which is supplied to the annuls at 160C and discharged at 140C. The thin-walled inner tube has a...

(a) In Example 6.7 (Section 6.3) it was calculated that with the air track turned off, the glider travels 8.6 cm before it stops instantaneously. How large would the coefficient of static friction...

Hi! Can you do this for me. Pretend that you ate in a Chinese restaurant and make some assessment for the restaurant. Assessment Choose a restaurant. Review the RATER acronym and reflect on how you...

6. Develop a circular model, with positive and negative feedback loops, showing the relationships between the following critical variables:

Self-confidence

The number of people commenting on the statement