Solution: Section Number: - #80161
IP Unit 3
Name:
Section Number:
Instructions:
- Identify the document by typing your full name and section number next to the yellow text.
- Rename the file by adding your last name to current file name (e.g., "u3ip_lastname.doc").
- Type your answers next to the yellow text.
- To show your work, you will need to include
o the formula with substituted values.
o the final calculated answer with units.
· To utilize the scientific calculator on your computer, do the following:
o Open the calculator (if it is not in the accessories folder, then select Run from the Start menu)
o Select View from the drop down menu
o Select Scientific to utilize the calculator.
o Note that x^y computes any number to any power (integer, fraction, decimal).
Please submit your assignment.
1) Solve the following equations.
a)
\[\sqrt{x}-1=3\]
b)
\[\sqrt{{{x}^{3}}}=8\]
.
c)
\[\sqrt[3]{{{x}^{2}}}=4\]
.
2) Is
\[\sqrt{{{x}^{2}}}=x\]
an identity (true for all values of x)?
3) For the equation \[x-\sqrt{x}=0\] , perform the following:
a) Solve for all values of x that satisfies the equation.
b) Graph the functions \[y=x\] and \[y=\sqrt{x}\] on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
c) How does the graph relate to part a?
.
4) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem,
\[{{c}^{2}}={{a}^{2}}+{{b}^{2}}\]
where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
5) Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?
6) The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Deliverable: Word Document and pdf