Carefully read through the list of terminology we’ve used in Unit 4. Consider circling the terms you aren’t familiar with and looking them up. Then test your understanding by using the list to fill in the appropriate blank in each sentence. d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 x = − b ± b 2 − 4 a c 2 a x = − b 2 a arbitrary binomial coefficient conjecture counterexample deductive reasoning equivalent expanded form exponential decay exponential function exponential growth f(x) factored form factoring factors function growth factor hypotenuse inductive reasoning inverse variation isosceles margin of error parabola parameters perfect squares polynomial prime polynomial profit quadratic function revenue right triangle standard form symmetry terms trinomial vertex zero _______________ is the process of reasoning that arrives at a conclusion based on previously accepted general statements.
Carefully read through the list of terminology we’ve used in Unit 4. Consider circling the terms you aren’t familiar with and looking them up. Then test your understanding by using the list to fill in the appropriate blank in each sentence. d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 x = − b ± b 2 − 4 a c 2 a x = − b 2 a arbitrary binomial coefficient conjecture counterexample deductive reasoning equivalent expanded form exponential decay exponential function exponential growth f(x) factored form factoring factors function growth factor hypotenuse inductive reasoning inverse variation isosceles margin of error parabola parameters perfect squares polynomial prime polynomial profit quadratic function revenue right triangle standard form symmetry terms trinomial vertex zero _______________ is the process of reasoning that arrives at a conclusion based on previously accepted general statements.
Solution Summary: The author explains that deductive reasoning is the process of reasoning that arrives at a conclusion based on previously accepted general statements.
Carefully read through the list of terminology we’ve used in Unit 4. Consider circling the terms you aren’t familiar with and looking them up. Then test your understanding by using the list to fill in the appropriate blank in each sentence.
d
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x
=
−
b
2
a
arbitrary
binomial
coefficient
conjecture
counterexample
deductive reasoning
equivalent
expanded form
exponential decay
exponential function
exponential growth
f(x)
factored form
factoring
factors
function
growth factor
hypotenuse
inductive reasoning
inverse variation
isosceles
margin of error
parabola
parameters
perfect squares
polynomial
prime polynomial
profit
quadratic function
revenue
right triangle
standard form
symmetry
terms
trinomial
vertex
zero
_______________ is the process of reasoning that arrives at a conclusion based on previously accepted general statements.
6. Given the following graph f(x).
(-2,2)
2-
-5
-3 -2
(-2,-1)
-1
(0,1)
-2-
1
(3,0)
2 3 4 5
(3,-1)
א
X
Compute each of the following.
(a) f(-2)
(b) lim f(x)
#129
(c) lim f(x)
*→12+
(d) lim f(x)
811H
(e) f(0)
(f) lim f(x)
8011
(m) Is the function continuous at x = -2,0,3? Why or why not?
(g) lim f(x)
+0x
(h) lim f(x)
x 0
(i) f(3)
(j) lim f(x)
x-3-
(k) lim f(x)
x+3+
(1) lim f(x)
#13
(i) For a given constant a > 0, let an investor's preference be represented by the
Gaussian utility function
U(w)=1-e-aw²
For what range of wealth level w will the investor be non-satiated and risk-averse?
Explain your answer.
(ii) Give an example of a utility function that exhibits DARA and verify it.
(iii) Determine the class of utility functions with relative risk aversion coefficient
R(w)= w², w> 0.
3. Compute the profit corresponding to 12,000 units.
5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for
the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting a denote the length of one side of the base,
find a function in the variable x giving the cost of constructing the box.
6. Given the following graph f(x).
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