# Calculus

In a certain chemical reaction, substance A combines with substance B to form substance Y. At the start of the reaction, the quantity of A present is a grams, and the quantity of B present is b grams. Assume a<b and y≤a. At time t seconds after the start of the reaction, the quantity of Y present is y grams. For certain types of reactions, the rate of the reaction, in grams/sec, is given by
Rate=k(a−y)(b−y),
where k is a positive constant.

1. Sketch a graph of the rate against y. For what values of y is the rate nonnegative?
Give your answer as a union of intervals, e.g., (-infinity,-a] U (a, 2b)
y∈

2. Use your graph to find the value of y at which the rate of the reaction is fastest.
y=

Thank you so much. I am so clueless.

1. 👍 0
2. 👎 0
3. 👁 281

## Similar Questions

1. ### chemistry

Examine the unbalanced equation. CH4 + O2 → CO2 + H2O What is the best classification for the unbalanced equation's reaction, and why? It is a combustion reaction because carbon dioxide (CO2) is emitted as a product. It is a

2. ### Integrated Science

Zuzana tests a common household substance and finds that it has a pH of 3. What type of substance is in the scenari? A). basic B).salt C). neutral D). acidic I do believe the answer is D because any substance with a PH below 7 is

asked by Kiley on December 15, 2018
3. ### Chemistry

An unknown substance has a mass of 16.3 g. The temperature of the substance increases by 20.1 degrees Celsius when 126 J of heat is added to the substance. What is the most likely identity of the substance? The table lists the

asked by Anonymous on October 9, 2012
4. ### Chemistry

A solid white substance A is heated strongly in the absence of air. It decomposes to form a new white substance B and a gas C. The gas has exactly the same properties as the product obtained when carbon is burned in an excess of

asked by Ana on August 29, 2010
5. ### Science

Ethan is observing chemical and physical properties of a substance. He heats a substance and observes that the substance turns from a brown solid to a black powder. He refers to several chemistry journals that claim this

asked by SoAestheticallyPleasing on September 6, 2019
1. ### Chemistry

What does the symbol ∆H stand for? one Calorie given off by a reaction the heat capacity of a substance*** the heat of a reaction for a chemical reaction the specific heat of a substance

asked by Ben on May 16, 2016
2. ### Math

A radioactive substance decays according to the formula Q(t) = Q0e−kt where Q(t) denotes the amount of the substance present at time t (measured in years), Q0 denotes the amount of the substance present initially, and k (a

asked by Vanessa on April 5, 2014

Newton’s law of cooling states that for a cooling substance with initial temperature T0 T 0 , the temperature T(t) T ( t ) after t minutes can be modeled by the equation T(t)=Ts+(T0−Ts)e−kt T ( t ) = T s + ( T 0 − T s ) e

asked by satan on January 13, 2017
4. ### PLS HELP ASAP 1 SUPER HARD & ANNOYING QUESTION

Use the diagram to answer question 13. so substance A looks like a row of three little circles on the top and bottom all organized (total six dots). substance b is all clumped together circles and is disorganized. 13. How can

asked by sonamy4eva on March 12, 2014
5. ### Chemistry

Assume that a reaction occurs in which unknown substances R and S react to form unknown substances T and U. From the information below, determine the mass of substance T that will be formed if 45.0 grams of substance R reacts with

asked by Daniel on May 20, 2008
6. ### chemistry

In a chemical reaction, substance A combines with substance B to form substance Y. At the start of the reaction, the quantity of A present is a grams, and the quantity of B present is b grams. Assume a> and

asked by mike on March 14, 2011