Rate of change of area of isoceles triangle

Assignment Help Mathematics
Reference no: EM13128430

The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees.

(a) Show that the area of the triangle is given by A = 1/2s^2 sin Z

(b) If Z is increasing at the rate of 1/2 radian per minute, find the rate of change of the area when Z = pi/6 and Z = pi/3

(c) Explain why the rate of change of the area of the triangle is not constant even though dZ/dt is constant

Reference no: EM13128430

Questions Cloud

Equations of tangent line and normal line : Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
Which would be a non-fraudulent earnings management scheme : Which financial statement should be studied most closely to determine if a company has the ability to pay a significant debt?
Amount of cash reported on a company bank statement : Differences between the amount of cash reported on a company's bank statement and the balance in the company's Cash account before the bank reconciliation are primarily due to:
Communication can be effected by culture, relationships : answer this question: Discuss with your colleagues one communication term or concept that particularly stood out for you when communication can be effected by culture, relationships, and the technology.
Rate of change of area of isoceles triangle : The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
How many grams of acetylene are produced : Acetylene gas (C2H2) is produced by adding water to Calcium carbide CaC2. How many grams of acetylene are produced by adding water to 5g CaC2?
Show entries in general journal form : Show entries in general journal form for the following transactions of Bothwell Regional Hospital, a not-for-profit hospital.
Five fundamental principles : How did the participants use the five fundamental principles addressed in the text? Were participants aware of the communication setting? Did they approach the event with an ego-centric view point or other orientation? Did they carefully choose and i..
Determine if particular overbooking strategy is sound : You have been retained as a consultant to SarParKingsGraUsch. Your job is to determine if this particular overbooking strategy is sound. Use simulation methods to perform your analysis.

Reviews

Write a Review

Mathematics Questions & Answers

  What two variables have the strongest positive strength

What two variables have the strongest positive strength of relationship?

  Test the instructor claim at a 5% level of significance

Test the instructor claim at a 5% level of significance

  A company finds that on average 20%

Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment

  Graph of a situation from life

Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life.

  Find equation of the line drawn between two points

Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).

  Discrete random variable defined on a finite sample space

Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).

  Provide description of card probability

Provide Description of Card Probability. What is the probability that exactly one suit is represented among these 8 cards? Exactly 2 suits?

  Compute the mean and variance for binomial distribution

Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.

  Determining analytic functions

Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.

  Determine ideals and rings-homomorphisms

Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).

  Explain description of isomorphism

Explain Description of Isomorphism, We are working on the proof of showing G (the group of rigid motions of a regular dodecahedron) is isomorphic to the alternating group A_5.

  Graphing absolute value functions

Graph each absolute value function and state its domain and range.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd