y = f(z) Use the graphs of y = f(z) and y = g(z) above to the find the function value. y = g(z) (a) (g o f)(2) = (b) (g o g)(3) =

Q: Find a possible equation for the linear function g(x, y) shown in the graph below

A: Solution -  g(x,y) is a linear function. let g(x,y) = ax+by+c from graph of g(x,y). The graph…

Q: Use the graph of y = f(x) to graph y = f(x - 2) - 1.

A: The objective is to plot the graph of y=fx-2-1 by using the graph y=fx. From the given graph, by…

Q: y is a function of x, but the function is not one-to-one

A: In the table notice that −2→12 and 6→12.

Q: finding the local mins and maximums and the intervals of increase and decrease and making a sign…

A:

Q: A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x). B. Find the derivative of…

A: Solving by using definition of derivatives

Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: x2 Sketch the function f (x) = 3 1 2х + 3 %3D - - - 2

A: Graph is a pictorial representation of various points .  For plotting the graph of a function…

Q: The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees…

A: Given: Annual yield per orange tree is 270 pounds per tree if the number of trees per acre is 30 or…

Q: The derivative of a function is f'(x) x(x + 2)(x - 4). Find the value of x at each point %3D where…

A:

Q: Consider the point (x, y) lying on the graph of y = 2x - 3. Let L be the distance between the points…

A: Given,

Q: Match graphs (A) and (B) in Figure with the functions: (i) f(x, y) = –x + y2 (ii) g(x, y) = x + y²…

A: Find the graph of the function is (i) f(x,y)=-x+y2 (ii)f(x,y)=x+y2

Q: Use the graph of y f(x) below to graph the function y = f(x +2) - 1 5 3 2 y = f(x) -7 -6 -2 -1 0 1 3…

A:

Q: The translation of a radical function is shown below. y - Va translated to y - V+3-2 Which graph…

A: The translation is the moving of the curve horizontally or vertically by specified units. If the…

Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

A:

Q: f(x): (3x + 6)5 %3D (a) Make a sign diagram for the first derivative. ---Select-- v ---Select---…

A: Given function is f(x)=(3x+6)5

Q: f(x) = 1 + 3x² –- 2.x³ Find the local maximum and minimum values of f using both the First and…

A: To Determine: find the local maximum and minimum values of f using both first derivative and second…

Q: Find the point P on the graph of the function y = yx closest to the point (4,0 The x coordinate of P…

A: Given that, graph of function  y=x   We have to find Point P on y which is closest to (4,0)

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve…

A:

Q: Sketch the graph of a differentiable function f such that f(2) = 0, f′ < 0 for −∞ < x < 2,…

A: Given f(2) = 0, f′ < 0 for −∞ < x < 2, and f′ > 0 for 2 < x < ∞.

Q: A8: By use of the chain rule, differentiate the function f(x) = In(x* + 1).

A: It is differentiation using chain rule.

Q: Determine the equation of the vertical trace of the function g(x,y)=-x^2-y^2+2x+4y-1 corresponding…

A: To find equation of vertical trace we need to substitute value of variable in the given equation of…

Q: df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

A:

Q: 7. Determine the equation of the function with zeros at ±1 and - 2, and a y-intercept of-6. Then…

A: We have to find function

Q: Find the slope of the graph of y = f(x) at the designated point. %3D f(x) = 2x - 7x +5; (3,2) The…

A: To find the slope of graph of y = f(x) at (3,2)

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: a) Calculate the derivative of f1 (x) = 2x4 - 3x3 + 1/2x2 + 3. b) Study the sign of the derivative…

A:

Q: Consider the function f(x)=x3-6x+c where C is an unspecified constant. Suppose the line 102x-y=609…

A: f(x) = x3-6x+C slope  of  the tangent  is :…

Q: y>x-1 is not function صواب ihi

A: Given: y≥x-1 is not a function   To determine: If the given statement is true or false.

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x + 6) at (2,8). The equation of…

A: F(x) = (5x -9)(x+6)  at point (2,8) here we have to find tangent equation  so tangent slope = slope…

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

A:

Q: ( ') Find y as a function of x if y"-3y"-y' + 3y = 0, y(0) = 5, y'(0) = -9, y"(0) = -27. y(x) =

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem

Q: g(x) = V1 – x g'(x) = State the domain of the function. (Enter your answer using interval notation.)…

A:

Q: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x +…

A: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x…

Q: Example 2: For the function below, find any local extrema using the Second Derivative Test. Then…

A: Find the maximum and minimum of the function using second derivative test

Q: Find the relative extrema of the functions f(x)=-4x2-32x-62 Identify any maximim or minimum by using…

A: To find relative extremas first we need to find critical points. These are the points where first…

Q: Find the point P on the graph of the function y=√x closest to the point (5,0) The x coordinate of P…

A: Since, we have to find a point P on the graph of the function y=x -(i) closest to the point…

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

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

A: y=76 e3t-122-16 e-3t+122

Q: Sketch the graph of the function  f(x) = ln∣x∣ and state its domain.

A: Sketch the graph as shown below:

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

A:

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

A:

Q: A function y = f(x) with the property that y y' = y" is

A: see below the answer

Q: Find the slope and y-intercept of the linear function f(x) = 7I – 46 O slope = 7, y – intercept =…

A:

Q: F(x) = x- 16x3+ 72x2 + 4 (a) Make a sign diagram for the first derivative. f"x) 0 F"(x) > 0 F'(x)…

A:

Q: Identify a horizontal or vertical stretch or compression of the function f(x) = x %3D by observing…

A: Given gx=4x3

Q: sketch the solid and a washer for the graph of these two functions f(x) =2 -(x-2)^2, g(x)=-x after…

A: