Taxes The function T ( x ) = 0.15 ( x − 9225 ) + 922.50 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $ 9225 and $ 37,450 , inclusive, in 2015. Source: Internal Revenue Service a. What is the domain of this linear function? b. What is a single filer's tax bill if adjusted gross income is $ 20,000 ? c. Which variable is independent and which is dependent? d. Graph the linear function over the domain specified in part (a). e. What is a single filer’s adjusted gross income if the tax bill is $ 3663.75 ? f. Interpret the slope.
Taxes The function T ( x ) = 0.15 ( x − 9225 ) + 922.50 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $ 9225 and $ 37,450 , inclusive, in 2015. Source: Internal Revenue Service a. What is the domain of this linear function? b. What is a single filer's tax bill if adjusted gross income is $ 20,000 ? c. Which variable is independent and which is dependent? d. Graph the linear function over the domain specified in part (a). e. What is a single filer’s adjusted gross income if the tax bill is $ 3663.75 ? f. Interpret the slope.
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later?
Step 1
Using the diagram of a right triangle given below, the relation between x, y, and z is
z²
= x²+
+12
x
Step 2
We must find dz/dt. Differentiating both sides and simplifying gives us the following.
2z
dz
dt
dx
2x.
+2y
dt
dx
dy
dz
x
+y
dt
dt
dt
2z
dy
dt
×
dx
(x+y
dt
dy
dt
4.1 Basic Rules of Differentiation.
1. Find the derivative of each function. Write answers with positive exponents. Label your derivatives with
appropriate derivative notation.
a) y=8x-5x3 4
X
b)
y=-50 √x+11x
-5
c) p(x)=-10x²+6x3³
Please refer below
Chapter 3 Solutions
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
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