sketch a graph with key points indicated. g(x)= 2x^3+1 f(x)= -(x+3)^2 h(x)=1x-41+1

Q: A young boy shoots a rocket off of a table and the height of the rocket in meters is given by h(t) =…

A: Here we have to find the time and height.

Q: Write f(x)=3x^3-3x in terms of y

A:

Q: G(-2) if g(x) = -x^2 + 4x + 1

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Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: If f(x)=x^2 and g(x) is the graph of f(x) shifted to the right 3 units, stretched vertically by a…

A: When f(x) shifts 3 units right then it becomes f(x-3)

Q: use the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of…

A: The graph of fx=x-a2+b can be obtained from the graph of fx=x2  as follows: First shift  fx=x2…

Q: write f(x)=-2^2+6x+6 in form f(x)=a(x-h)^2+k

A: That's easy. Have a great day!!!

Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: The population of a city can be modeled using the function P(x)=-35x^2+450x+250 where x represent…

A:

Q: Find the minimum value or maximum value of (a) f(x) = 4x^2 + 16x - 3 and (b) h(x) = -x^2 + 5x + 9.…

A: f(x)=4x2+16x-3 The value of a=4 that is positive So we will get minimum value find out vertex we get…

Q: find all zeros. f (x) = x^3 + 9x^2 + 25x + 25

A: We can find the Zeros of the given function. Note that if ax2+bx+c=0 then x=-b±b2-4ac2a.

Q: g(x) = -1/2 (x+3)^2-4 compare to f(x) = x^2

A: Given that  g(x)=-12x+32-4f(x)=x2

Q: Find the zeros of f(x) = 3x^3 + 9x^2 + x + 3

A:

Q: Find the number of possible positive zeros of f(x)= 2x^4+14x^3-35x^2

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Q: f(x)-(x+4)^2-5

A:

Q: 9. For the function f(x) = x^3 - 3x^2 - 13x - 15. Calculate the roots of the function f(x), find…

A: The root of the equation is x=5.727

Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.