Q2: Graph the functions and specify if the in decreasing. y = -x 1. y = V]x| y = -4Vx 2. 3.

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: Find the point P on the graph of the function y=sqrtx closest to the point (9,0) The x coordinate of…

A: We have to find the point P on the graph of the function y=x closest to the point (9,0). Also, find…

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

A:

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

A: on solving this we get the

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: which shows the function f(x)=7x after a vertical translation down 4 units

A:

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: 3) What is the range of the function y = -/x + 5? A) {y]y2 -5} B) {y]y> 0} C) {y]ys -5} D) {y]ys 0}

A:

Q: 4. What is the range of the function y = 2(5)*? %D 1) y 0 3) ys0 4) y20 How do you know?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Identify the level curve of the function f(x, y) for c 8. x2 Write your answer in terms of y as a…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we have c=8 so…

Q: 3. Which interval of decrease is incorrect for the given function in each case? a) y = 5/x; (-00, +…

A: Given that:

Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

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

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: An object moves along a horizontal line according to s (t) = 5t° – 2t², when is V increasing and…

A: In the given question, concept of derivative is applied. Derivative The derivative expresses the…

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

A:

Q: 2. Find the domain and range of the function y = Vx + 4

A: We Know that  Domain: The set of all points over which a function is defined. Range: The set of…

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

A: Given revenue function is R(x)=427-x3+54x2+1150x-400, 0≤x≤25 Revenue = Quality × Price Let, y be the…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: The parking costs in a city garage are $2 for the first half hour and $1 for each additional half…

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: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

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: 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: y = Va+1-3

A:

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: Find the extreme values of the function x²y with respect to x + y = 5

A:

Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

A:

Q: The value of shares (V) after (t) days is given by the relation V = 3t + 10vt + 167. After how many…

A: The value of shares (V) after (t) days is given by the relation V = 3t + 10√(t) + 167.

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

A: Introduction :

Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

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Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

A:

Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

A:

Q: 3. Use the graph below to write a linear function in y=mx +b form that relates y to x. -2+

A: We have to find the linear function in y=mx+b form.

Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

A:

Q: Use the graph of f(x) = [[x]] to graph the indicated function. y = [[2x]]

A: Given function is: y=[[2x]] It is greatest integer function. Given basic function is: fx=[[x]]

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

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: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7)…

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the…

Q: Q.2. A) For the function y f(x) whose graph is shown below, find the points of discontinuity and…

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Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

A:

Q: Sketch the level curve of the function g(x, y) = x + y? for c 36. 4- -10 -9 -8 -7 -6 -5 -4 -3 -2 -…

A: Level curve

Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.