A rocket is fired upward from the ground with an initial velocity of 220 feet per second. Neglecting air resistance, the height of the rocket at any time t can be described in feet by the polynomial-16t to the power of 2 + 220t. Find the height of the rocket at t =7.2 seconds. Simplify your answer

Q: Write a polynomial that has the zeros at 3,-8,-5/2, and -1.

A: Since 3,-8,-5/2,-1 are zeros. (x-3),(x+8),(x+5/2),(x+1) has its factors Therefore,…

Q: Find the number of terms in this polynomial, -2s - 4

A: Given query is to find the number of terms in the polynomial.

Q: Write a polynomial that represents the area of the football field. b. Find the area of the football…

A:

Q: Ren was trying to solve a system of linear equations. He correctly argued that he could replace one…

A: The given system of linear equation is , -2x-5y=-47........(1)   4x-2y=-2..........(2)

Q: Find the degree of the polynomial.

A: The degree of a polynomial is the highest power of the variable in the polynomial. In a…

Q: Write the polynomial (that means to multiply the factors) that has the following zeros: 0, 2, and…

A: A detailed solution is given below.

Q: Multiply a polynomial by a polynomial, Multiply and collect like terms: (6d−1)(3d2+2d−7). Please…

A:

Q: -21a b6 – 42a®b5 + 7a>b4 -7a+b5 2x3+ 7x2 + 10х + 8 х+2

A: The solution for the above question is as shown below.

Q: Write a polynomial that is a trinomial, with degree 5 and the constant term 7.

A: Trinomial: It has 3 terms of polynomial. Since , in the trinomial , there is degree 5 with constant…

Q: The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36…

A:

Q: iantelowto answer the questions. -6r4

A: Given polynomial: -6r4

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.