2. Use your knowledge of area to compute F(1). Explain your reasoning. Hint: Funda- mental Theorem of Calculus.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Number 2 and 3 only
![Consider the graph of the function g shown below. The domain of g is [0, 10], and the
graph of g is comprised of two line segments and a quarter circle.
11
10
7
3
5
7
8
9
10
11
1. The function F is defined on [0, 10]. It is an antiderivative of g and satisfies F(4) = 2.
Sketch a graph of F. Hint: to sketch the graph of F, you could determine where F is
increasing and decreasing and where F is concave up and concave down. You need at
least one point on the graph to locate the graph on the axes. You do not need a formula
for F to make this sketch.
2. Use your knowledge of area to compute F(1). Explain your reasoning. Hint: Funda-
mental Theorem of Calculus.
3. Write a formula for F using an appropriate integral of g. Hint: Fundamental Theorem
of Calculus, other version.
4. The function G is defined on [0, 10]. It is an antiderivative of g and satisfies G(7) = 0.
Sketch a graph of G. Hint: you just need a sketch here.
5. Compute G(4) and G(10).
4,
3,
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35e09729-de31-4f5c-b775-013c3db5e704%2F80350b55-bc84-4c56-95a2-9ed128486b67%2F2h9gib4_processed.png&w=3840&q=75)
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