Find the axis of symmetry of the following function: f (z) = 4x² + 8z -- 20 %3D O 2=1 O z=2 2=-1 O z=-2

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: Given the function y=3√x. Find d2y.

A: Given

Q: Graph the function

A:

Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

A:

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: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: Graph the functions

A: We will make a table for the function.

Q: 2) y=-5+ Vx+ 1

A:

Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

A:

Q: t(x, y) x² + y?

A:

Q: ) Draw the graph for the function Y = Vx+1 and then find (Df) & R)

A: The given function is Y=x+1. Sketch the graph of the given function using any graphing calculator as…

Q: Find the image of the function f(x.y) = 36 + 1\4 v(9x² + 4y³)

A:

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

A:

Q: For the graph of the linear function f(x) = mx + b, m is the  _____ and b is the _______ .

A: For the graph of the linear function fx=mx+b, m is the  _____ and b is the _____.

Q: Find the x-intercepts of the graph of the function y = – x² – 6x + 3 6土V24 Ox = - 2 6土V48 O x = -2…

A: We have to find the x intercept of given function.

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: Find dy for the following functions. y=6x2

A: We have the given function as   y=6x2 We have to differentiate it

Q: What is the axis of symmetry for the following quadratic function? y = -4 Oy = -1 x = -4 Dx = -1

A: Given graph of a quadratic function

Q: Find the domain of the function f(x, y) : Vx2 + 8y2 – 5.

A: follow next step

Q: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: Find y, of the following functions: (i) y=e³x+2

A:

Q: Graph the function for the given domain. y=x2-3 D3,-2,-1,0, 1}

A:

Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

A:

Q: Given the piecewise function below, which equation represents piece "A"? B 2 C -1 -2 -3 MathBits.com…

A: A graph is given as shown below We have to find equation representing piece A

Q: Find d2y/dx2 for the following function. y=e7x^2

A:

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 domain of the function:f(t) =∛(t + 4)

A: Given function is: ft=t+43 We have to find the domain of f(t).

Q: Find the points on the graph of the function that are closest to the given point y = x2,       (0,…

A:

Q: Draw the domain of the function: f (x, y) = Vx² + 9y² – 36

A: Please refer the attached image for complete solution. THANKYOU.

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: 30. f(x) = –(x – 4)² %3D - M,0)

A:

Q: Lisa is considering weight loss surgery, and after consulting a doctor, she was told that three…

A:

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Q5: Find the max and min points for the function: F(x,y) = x2+xy2-4x+1

A:

Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.

A: Given

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

Q: Find the domain of the function. s - 1 f(s) = s - 5

A: Given : fs = s-1s-5

Q: Given the function + y-4, find y'. Oy = Oy =

A:

Q: f(x) = 6x5 – 4x3 + 10

A: To classify the stationary points of the function: f(x)=6x5-4x3+10

Q: - Find the domain of the following functions: a- y=2x. y = (x+1) c-y = - Vx+4 (3-х)

A:

Q: Graph on a Cartesian plane the function h(x)= X-2

A: To graph the function hx=x-2

Q: 4) y= V4x + 8 %3D y -6 -4 -2 4.

A:

Q: 2 Ax, y) = V 16 – x – 4y²

A: Given function  fx,y=16-x2-4y2fx,y=16-x2+4y2 Domain pf the function  16-x2+4y2≥0x2+4y2≤16x216+y24≤1…

Q: The domain of the function f(x, y) = 3x + xy + 5y? is R.

A: We have to verify that the domain of the function fx,y=3x+xy+5y2 is R or not.

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 the y-intercept(s) of the function f(x)=-x+5x-6. О 5/2 O - 1 O 6 O -6

A:

Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…

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.