Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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3. Let p(x) = 2x3 +3x2-12x + 1. Find the absolute extrema on the interval [-1,4]. Express
you answer as an ordered pair.
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4. Identify the intenals where the following function is increasing or decreasing:
f(x) =
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5. Identify the intervals where the following function is concave up or concave down:
f(x) = 2+ cos(x), [0, 2a]
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6. Identify local extrema for the following function. give your answer as an ordered pair (you may
use the Eirst OR the Second Derivative Test): 200S(X)Sinu)
f(x) = sin (x), 9<x<A
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7. For the following functionf(x)%3D 2x*-8x2
a. State the domain.
f'(x) = 2Cos (T) Sinic)
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b. Find x and y intercepts, and determine end behavior of graph.
C. Find critical points and intervals of increasing and/or decreasing, express local extrema
as ordered pairs.
d. Find intervals of concavity and express any inflection points as ordered pairs.
e. Sketch the graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ff23c12-d889-4135-a7d4-08cb9a5cbf87%2F3ac18dd3-4119-4862-81e0-b56b00b8465a%2F8587rdd_processed.jpeg&w=3840&q=75)
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