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a.
To define: Function
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 1RCC
Function is a mathematical expression which is a set of rule. It gives only one output value for a specific input value.
Explanation of Solution
Given information: Function
Function is a mathematical expression which is a set of rule. It gives only one output value for a specific input value.
b.
To define: Domain and range of a function.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 1RCC
The set of the input values of a function is called domain. The set of the output values of a function is called range of a function.
Explanation of Solution
Given information: Domain and range of a function
The set of the input values of a function is called domain. The set of the output values of a function is called range of a function.
c.
To define: Graph of a function
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 1RCC
If we take the input and corresponding output of a function as two coordinates of a point and plot them; the curve produced from the process is called the graph of that function.
Explanation of Solution
Given information: Graph of a function
If we take the input and corresponding output of a function as two coordinates of a point and plot them; the curve produced from the process is called the graph of that function.
d.
To define: Independent and dependent variable.
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 1RCC
Independent variable is the variable which doesn’t depend on other variable.
Dependent variable is the variable which depends on other variable i.e its value depends on other variable.
Explanation of Solution
Given information: Independent and dependent variable.
Independent variable is the variable which doesn’t depend on other variable.
Dependent variable is the variable which depends on other variable i.e its value depends on other variable.
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Chapter 2 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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- Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u. Solding by finding the x and y of the vectors and addingarrow_forwardFind the range and all the answers. Remark that the range isn’t between -(pi/2) and (pi/2)arrow_forwardPlease draw a detailed grapharrow_forward
- For allarrow_forward3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward
- 11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forwardpractice problem please help!arrow_forward13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forward
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