3 Determine the interval or intervals where the graph of the function f(x) = x3+ 3 is: a. Increasing b. Decreasing Concave upward с. d. Concave downward 4 Show that f(x) = x3 [-1, 11, and find all numbers c in (-1, 1) such thatf'(c) = 0. - x satisfies the hypotheses of the Rolle's Theorem on the interval 2 5. Show that f(x) = (x+ 2)3 satisfies the hypotheses of the Mean Value Theorem on the f(6)-f(-1) interval [-1, 6], and find all umbers c in (-1, 6) such thatf' (c) 6-(-1) 6. Find the local extreme values off and the intervals on which fis increasing or is decreasing, 2 and sketch the graph of f(x) = x3 (8- x). 7. Find the limit or show that it does not existL Hital 5x2-7x+9 or ractice proklovn s at a. limxc0 10x2+3x-4 X3-2x+4 b. limx X x2-6x-7 6x+12 limx- 00 7x2+9
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
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The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
Can you help me solve number 6 please.
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Determine the interval or intervals where the graph of the function f(x) = x3+
3
is:
a. Increasing
b. Decreasing
Concave upward
с.
d. Concave downward
4 Show that f(x) = x3
[-1, 11, and find all numbers c in (-1, 1) such thatf'(c) = 0.
- x satisfies the hypotheses of the Rolle's Theorem on the interval
2
5. Show that f(x) = (x+ 2)3 satisfies the hypotheses of the Mean Value Theorem on the
f(6)-f(-1)
interval [-1, 6], and find all umbers c in (-1, 6) such thatf' (c)
6-(-1)
6.
Find the local extreme values off and the intervals on which fis increasing or is decreasing,
2
and sketch the graph of f(x) = x3 (8- x).
7. Find the limit or show that it does not existL Hital
5x2-7x+9
or
ractice proklovn s at
a. limxc0
10x2+3x-4
X3-2x+4
b. limx
X
x2-6x-7
6x+12
limx- 00
7x2+9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a088b1e-21eb-4a50-a7c3-ad0d75c027d5%2Fca903473-7610-4f8e-a7ca-2274dc687b1d%2Fnv5fuy.jpeg&w=3840&q=75)
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