Question: A triangle with area A=1/2 bh is expanding with time such that the length of the base, b(t) = t2 + 2, and the height

A triangle with area A=1/2 bh is expanding with time such that the length of the base, b(t) = t2 + 2, and the height of the rectangle is constant at h = 4. What is the formula for the rate of change of the area of the triangle with respect to time? explain

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We must apply the formula for a triangles area and then differentiate it with respect to time in ... 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 Mathematics Questions!

SP 5 Serial Problem Business Solutions (Algo) LO P1, P2, P3, P4 Skip to question [The following information applies to the questions displayed below.] Santana Rey created Business Solutions on...

a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

A rectangle with area A = bh is expanding with time such that the length of the base, b (t) = 1 + 2, and the height of the rectangle is constant at h = 4. What is the formula for the rate of change...

Can you please answer the following questions: 1. A point is moving along y = x^2 + 3x - 6 at a rate of dx/dt = 3 mm/s, find dy/dt , when x = 2. a.) dy/dt= 18 mm/s b.) dy/dt= 12 mm/s c.) dy/dt= 16...

PLEASE MAKE WRITING AND FORMAT CLEAR! \fA rectangle with area A = b/ is expanding with time such that the length of the base, b (t) = 1 + 2, and the height of the rectangle is constant at h = 4. What...

Please solve the circle part. SECTION 1.7 Building Mathematical Models Using Variation 115 Applications and Extensions In Problems 17-22, write an equation that relates the quantities. 17. Geometry...

Please help me with this, they're all application of derivatives questions. Assume that a rectangle with sides x and y is expanding with time. Let y = 2x and t) : 3t + 1. What is the formula for the...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

Underwood, Inc. manufactures two products. It currently has 2,000 hours of direct labor and 1,000 hours of machine time available per month. The table below lists the contribution margin, labor and...

You are standing on February 15, 1994: (a) What is the total value of the portfolio? (b) Compute the dollar duration of the portfolio.

6 8 0 - 1 0 2 _ INTRODUCTION TO FINANCE ( SECON Which one of the following is the rate at which a stock's price is expected to appreciate? Select one: a . current yield b . total return c . coupon...

Review the document below and make main points from it. PHYSICS-IC Another common unit used for pressure is atm (atmosphere) which is approximately equal to air pressure at sea level. 1 atm = 101.325...

Can you really beat the market over the long haul? How many actually have? Are markets more efficient today rather than 20 years ago? If so, what may contribute to it? Why are financial markets...

The microenvironment of the active site can cause an amino acid's R group to be protonated at a pH much higher than its pka. True False

Computer Whiz Pty Ltd (Computer) has four directors. Charlie is one of the directors. Computers constitution provides that all transactions over $5,000 need to be approved by a majority of directors....

in 2 0 1 4 the population of a district was 3 6 , 9 0 0 with continuius growth rate 2 % , what will the population be in 2 0 2 4

The following elementary reactions are to be carried out in a PFR with a heat exchange with constant Ta: 2A+BCHRx1B=10kJmol BADHRx2A=+10kJmol AB+2CEHRx3C=20kJmol C The reactants all enter at 400 K....

What if the temperature in the CRE Web site Professional Reference Shelf Example R15.2 were increased? How would the relative resistances in the slurry reactor change?

A first-order reaction is taking place inside a porous catalyst. Assume dilute concentrations and neglect any variations in the axial (x) direction. a. Derive an equation for both the internal and...

Why are routing and scheduling continual problems in process layouts?

Briefly describe computer- assisted approaches to production.

According to a study by the Alliance of American Insurers, it costs more than three times the original purchase price in parts and labor to reconstruct a wrecked Chevrolet. Explain the reasons for...