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Answer:
Minimum : -37 at x=2.4 and
Maximum = 37 at x=-2.4.
Step-by-step explanation:
Given:
; [-3,3]
Explanation:
In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.
Therefore,
Setting derivative equal to 0, we get
On applying quadratic formula, we get
x=2.4, -2.4, -0.7, 0.7.
So, those are critical points of the given function.
Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get
f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376 : Minimum.
f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.
f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807
f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807
f(-3)=(-3)^5-10(-3)^3+9(-3) =0
f(3)=(3)^5-10(3)^3+9(3) =0
Therefore the approximate values of the minimum and maximum points of f(x) = on [-3,3] are:
Minimum : -37 at x=2.4 and
Maximum = 37 at x=-2.4.
Answer:
Following are the function description to the given question:
Step-by-step explanation:
In the given-question, three functions are used, that can be defined as follows:
In function 1:
This function is also known as the modulus on the absolute value function, for example:
In the given in the above graph, that is
In function 2:
In this function, It is an algebraic function that is
It is also a part of the quadratic polynomial function, and its value is
In function 3:
In this function, it is the cubic polynomial equation that's value is
In the graph its value is:
Answer:
14.8 cubic units
Step-by-step explanation:
The volume of the right pyramid can be calculated using formula
You are given
Then