Determine where, if anywhere, the function f (x) = x° + 9 – 48x + 2 is not changing.

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a>0, shifted to the right by…

Q: Determine the missing coordinates of the points on the graph of the function.

A: The missing coordinates are given in the following graph as follows.

Q: Graph the function f(x) = coordinates are -2,0, and 1. 2a? and draw the tangent lines to the graph…

A: Sketch the function.

Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

Q: Graph the function f(t) = (/t, 2t +1) by eliminating the parameter.

A:

Q: t(x, y) x² + y?

A:

Q: Find all points at which the direction of fastest change of the function f(x, y) = x² + y2 – 2x – 8y…

A:

Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: The function f(x, y) = -3y + 2√√ry is a

A:

Q: Determine and distinguish the stationary values of the function f(x, y} = x² – 6x² – 8y². -

A: We need to find the stationary value of f(x,y)=x3-6x2-8y2   For that first we need to find the value…

Q: determine its reflection and 3 units upward f(x) = (x+5)^2

A: Topic = Functions

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: Determine whether the equation defines y as a function of x : xy + 2y = 1

A: we have to determine whether the given equation defines y as  a function of x. given:  xy+2y=1

Q: Q3// Draw the function 1 y = 2 sec-1. Зх + 1

A: Our objective is to draw the graph of the function.

Q: The range of the function f(x, y) = 1 3+Vx+y is equal to:

A:

Q: Find all points at which the direction of fastest change of the function  f(x, y) = x2 + y2 − 4x −…

A:

Q: Find domain and range F(x,y)= Vx-1

A: Since you have asked multiple questions in a single request, as per policy, only the first question…

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: Given the equation 2x +x*y-y° = 0, evaluate Assume that the equation implicitly defines y as a…

A: Concept - take the derivation on both side with respect to x

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

A:

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Determine whether the equation defines y as a function of x. x =  |3y|

A: Given,           x =  |3y|

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

A:

Q: Find the linear function with f(1)= 3 and slope 6. Select one: O a. f (x) = 4x + 6 O b. f(x) = 6x -…

A:

Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

Q: Consider the function f(x)=x^2+2x+2  what is the equation of the line of symmetry of f?

A: To find equation of line of symmetry of function fx=x2+2x+2

Q: Determine whether the equation y = ±√1 − 2x defines y as a function of x.

A:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Find , where y is defined as a function of x implicitly by the equation below. dz' 2y5 - 2ry = -2…

A:

Q: (1 point) Find y as a function of t if 36y" – 81y = 0,

A: y=76 e3t-122-16 e-3t+122

Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

A:

Q: The function y = x³ + ax? + bx + c has a stationary point at (-3,12) and it passes through the point…

A: Since, the function y=x3+ax2+bx+c passes through the point (0,2)⇒2=0+0+0+c⇒c=2-(i)Also, we have been…

Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

A:

Q: Find all points at which the direction of fastest change of the function f(x, y) = x2 + y2 - 4x – 8y…

A:

Q: Find an equation of the secant line containing (1, f(1) and (2, f(2). 19) f(x) = x3

A: Given,         The equation of the secant line containing 1,f1 and 2,f2 and the line          is…

Q: Find constants cq and c2 such that the function y(x) cje + c2e° satisfies y(0) = 1, and y' (0) =…

A: The values of constants c1 and c2 of the giben general solution of differential equation satifying…

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given:

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

A:

Q: Develop any sinusoidal equation for a function that has the following properties : - Range = {y ∈…

A:

Q: 19. Given the following functions: y = 8x – x2 and y = 3x %3D | Find their points of intersection.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: The amount of light intensity on a point is given by the function t2 + 2t + 16 I(t) te [0,14] t+2

A: In this question, we need to find the time of minimal intensity and the minimal intensity.

Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.