Q1) Find the local extreme values of the function: f(x.y) =4 x? - 6xy + 5 y2 - 20x + 26y

Q: Use the function f (x ) = 3sin(2x - π) to answer the questions.

A: Let's solve.

Q: The range of y = 4 – x2 is

A: From the given problem:   y=4-x2   As we know that the parabola  ax2+bx+c with vertex xv,yv then:…

Q: What is the y-intercept of the function f (x) = 2"-1 +3

A: When function cross y axis x coordinate is zero

Q: Ext y= x? x²42 Find ghe Range or y

A: The range of a function is the set of all output values (Y-values).

Q: Use the graph of f to find the x-intercept(s), Where applicable, use interval notation.

A:

Q: or the function f(x) = x² − 6x³ + 1, find the points of inflection.

A:

Q: The solution needed to be printed, not handwritten

A: Graph using the end point and a few selected points. xy146.41156165The graph of the function y = 5 +…

Q: given the expression x²y + yx-y + 3 = 0, find y = f (x).

A:

Q: Plot both of the following functions, take a range (-6,6) f (x)=x* – 2x° +3x² – 9

A: The given function is fx=x4-2x3+3x2-9 and range of x is -6, 6. Consider some values for x and find…

Q: Find the concavity and point of inflection of y= x 2/ 3 + x2

A:

Q: Find 2 of the following functions: dx a) y = (x²+3x)5

A:

Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: Which function has a domain of x2 4? A. y= Vx+ 4 C. y = Vx+ 4 B. y= Vx- 4 D. y= Vx- 4

A: Domain of the function

Q: The value of Mr. Watanabe's stock portfolio is given by the function v(t)=50+731-3r², where v is the…

A: Here the value is given by the function v(t) = 50 + 73t - 3t2, we have to calculate the value of the…

Q: Which of the following equation defines a function? O 4x + 8y = 2 O 4x + 8y? = 5 O ? = 12 – a? O 8x…

A: Any relation between two variables say x and y, is called a function i.e. y=f(x) if for any x value…

Q: Graph the functions

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

A:

Q: Q: Find for the following functions: - dx 1. 1) y =+ 8x

A: To find the dy/dx for y=(6/√z²)+(1/8x⁴)-(1/2x⁸)

Q: 1. For the function y = -3(x + 2)² – 7: a) State the domain. b) State the range.

A: I have explained everything with in the solution ,please go through that.

Q: For the given function, answer the following questions. f(x)=2x−1 / x−4   a)  Find the…

A:

Q: Find the domain of the following function. f(x.y) = /80 - 5x2 - 5y? Select the correct choice below…

A: Please find the answer in the next step. Note that domain is where function is defined.

Q: a) Given the functions below, state the domain and range. i. f(x) = 8x+15 2х-1 ii. y = 3x+8

A:

Q: 2x + 1, forx -2

A: We will solve the problem

Q: Find the inflection point (x,, f(xp)) of the following function: f(x) = 3x³ + 9x² – x + 11. If - an…

A: Given : f(x) = 3x³ + 9x² - x + 11

Q: Q3: - Find the Domain and Range for the following functions: 3) y=2-x 1) y = V1 – x? AL I2 - *NIE…

A: The domain of the function is defined as all the values of x for which the function f(x) is…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.