a. A student develops an engine that is believed to meet all state standards for emission control. The new engine's rate of emission is given by E(1) = 21° where E()is the emissions, in billions of pollution particulates per year, at time t, in years. The emission rate of a conventional engine is given by C()=9 +r? The graphs of both curves are shown below
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
![Question 1
a. A student develops an engine that is believed to meet all state standards
for emission control. The new engine's rate of emission is given by
E(t)= 2r where E(1)is the emissions, in billions of pollution particulates
per year, at time t, in years. The emission rate of a conventional engine
is given by C(1)=9+r?
The graphs of both curves are shown below
18
E(t)
1
2
3
Years of use
i. At what point in time will the emission rates be the same?
AN .
ii. What reduction in emissions results from using the student's engine?
A KS]
b. Two rockets are fired upward. The first rocket's velocity is given by the
function v, (1) = 41; the second rocket's velocity is given by the function
v, (1) =. In both cases, t is in seconds and velocity is in feet per second.
10
When the two rockets' velocities are the same, how far ahead is the first
rocket?
Rate of emissions](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50aaeb93-c468-4b7d-9343-41c3f58113cf%2F4f969b34-368a-4a4d-bb6f-acb1179fd252%2Ft1yb0hq_processed.jpeg&w=3840&q=75)
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