Use the graph of y = f(x) to graph the function g(x) = 2f y = f(x) 42 6.

Q: Find the point "P" on the graph of the function y=sqrtx closest to the point (10,0)  The x…

A: Let the point is (x,y)= (x,sqrt(x))Distance of (x,sqrt(x)) from (0,0) is D

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

A: Topic = Functions

Q: y = e2=²-x %3D

A: Solve the differential

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: Use the chain rule to find the derivative of f(x) = 4(5³ – 5æ")“ You do not need to expand out your…

A: The given function, f(x)=45x3-5x714

Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

A:

Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: Find the point on the graph of the function that is closest to the given point. Function Point f(x)…

A:

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

A: on solving this we get the

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: snip

A: Consider functions g(x) ,g(x+a), and g(x-a). To get the graph of g(x+a) shift the graph of  g(x), a…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: c) In which unit direction does the graph of z=f(x, y) have its steepest decline at the point (2,3),…

A:

Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

A:

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: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

A:

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x). %3D y = f(x) Ay 4- 2- -6 -4 -2 2 -4…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

A:

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

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

A:

Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

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: For the linear function f(x)= -2x-2. Describe the line slat

A: The given linear function is: fx=-2x-2

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?

A: Question is solved.

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

A:

Q: The Range (Ry) of y = v9 – x² is : - a. [0.] b. (0,3) C. [0,3] d. (0,9)

A: Given that y=√(9-x^2) To find The domain of y.

Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

A:

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

A:

Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: Find the equation of line (L) that passes through the intersection point of che two functions y = v2…

A:

Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y + y3 -3x2- 3y2 +2.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The function f(x,y)=/26-2x²-y² is continuou at point (2,-3). .A False .B True

A: Givenfx,y=26-x2-y2

Q: i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2. b. Give an…

A: The slope of a function at a point is the rate of change of the y coordinate with respect to the x…

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,