Use the guidelines to sketch the curve y = re (a) What is the domain of f ? (b) What are the intercepts of f ? (c) What symmetry does f have?

Q: Use the guidelines of this section to sketch the curve   y =  x - 3x 1/3

A: Let us make a table for the function x -8 -1 0 1 8 y -2 2 0 -2 2

Q: Use the guidelines of this section to sketch the curve.   y = x/ x-1

A: To find the x-intercept we plug y=0 So x-intercept is 0 To find the x-intercept we plug x=0 So…

Q: In the open interval 0, find the point where the slope of the curve y =tanx is 4?

A: in the open interval 0,π2, we have to find the point where the slope of the curve y=tanx is 4. the…

Q: Sketch the curve f(x) = x/(x-1)^2. Show complete solution

A: We have to sketch the given curve f(x) = x/(x-1)2. To sktech the given curve we will follow the…

Q: Use the guidelines to sketch the curve  y = 2 x2  / ( x 2  -1 )

A: For, x=0, y=0  So, the y-intercept is 0   Then we plug y=0 and find x so, x-intercept is 0.

Q: Use the guidelines of this section to sketch the curve. x - 5

A: Given : Function y = xx-5 To find : Graph of the given function?

Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

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Q: Use the guidelines of this section to sketch the curve   y =x/  sqrt( x2   +1)

A: This function can not have the denominator equal to 0, so there will be no vertical asymptote.

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Use the guidelines of this section to sketch the curve.   y = 2√ x    -x

A: We will make a table for the function  x 0 1 4 9 y 0 1 0 -3

Q: Use the guidelines of this section to sketch the curve   y =x / ( x3  -1 )

A: Given: To sketch the given curve using the guidelines.

Q: Find all points (c, f(c)) on the graph of f(x) = x3 −3x2 where the tangent line has slope 9.

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Q: What is the equation of the tangent line to the graph of the function (given below) at x=-2 ?…

A: gx=3x2-2

Q: The slope of the curve f(x)= at x =1 is

A: given function :

Q: Use calculus to determine the exact y-coordinate of the highest points on the curve r = sin(20).…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Use the guidelines of this section to sketch the curve.   y = x/ x2-9

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Q: Use the guidelines of curve sketching to sketch the curve y = 1-x2 %3D

A: Given: y=x1-x2

Q: f(x) = (1– x)e*

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Q: Use the guidelines of this section to sketch the curve.   y = (4 - x2)5

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Q: Write the equation of the tangent line to the curve (a lemniscate) 2(x2 + y²)“ = 25(x² – y²) at the…

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Q: What is the y-intercept of y = tanx?

A: y=tanx

Q: Use the guidelines of this section to sketch the curve   y = x (x- 4 )3

A: Consider the given function: y=xx-43 Now make a table for function value at different points:

Q: The equation of the tangent line to the curve 교+f -25, at (8,-12) is

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Q: Determine the point(s) at which the graph of -8x f(x) = 2х- 1 has a horizontal tangent. (х, у) %3D

A: Solution - The derivative of a function is 0 at a point where the tangent is horizontal. Let us…

Q: Use the guidelines of this section to sketch the curve   y =2 sqrt x - x

A: Given              y=2x-x

Q: Use the guidelines of this section to sketch the curve.   y= 3√(x3 + 1)

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Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Use the guidelines of this section to sketch the curve   y =2 x- tan x  ,  - pie/2<x <pie /2

A: Given: Differentiate the above expression and equate to zero to find the local minima and local…

Q: sketch the curve ƒ(x, y) = c together with ∇ƒ and the tangent line at the given point. Then write an…

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Q: Determine the equation of the curve for which the tangent line at every point has a slope of 25, x =…

A: Topic = Coordinate geometry Correct option = D

Q: Determine slope of a curve y = x³3 + 1 at x = 1

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Q: Use the guidelines of this section to sketch the curve.   y= 3√(x2  -1)

A: We need to find the x intercept, y intercept, vertical asymptotes, horizontal asymptote etc to…

Q: Use the guidelines of this section to sketch the curve.   y = 1/ x2 -9

A: Let us plot a table with values of x and y. x y 0 -8 1 -8 -1 -10 2 8.75

Q: Use the guidelines of this section to sketch the curve.   y = x √(5- x)

A: We can not have negative number inside square root So, 5-x≥0 x≤5  Let us make a table of values x…

Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

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Q: Use the guidelines of this section to sketch the curve.   y = x 5   - 5x

A: We make a table with different values of x and y.  x y  0 0 1 -4 -1 4

Q: Use the guideline of this section to sketch the curve 1. y = 1 + 1/x + 1/(x ^ 2)

A: To Sketch: y=1+1x+1x2 Explanation: (a). Domain and Range y=1+1x+1x2is defined everywhere except…

Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

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Q: Find equations of the two tangent lines to the graph of f(x) = that pass through the point (-1, -3).…

A: Let the point on the curve c,c2 on the curve through which the tangent line passes, As we know that…

Q: Consider the following equation and point. f(x) = 3x2 – 6, (-1, -3) Find an equation of the tangent…

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Q: Find the x-coordinates of inflection points of the curve y = f(x).

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Q: Graph the function f(x) = are -2 , 0, and 1. 3x and draw the tangent lines to the graph at points…

A: Given: f(x)=-3x2 y=-3x2  x=-2,0,1x=-2 ⇒y=-3(-2)2=-12⇒(-2,-12)y=-3(0)=0⇒(0,0)y=-3(1)2=-3⇒(1,-3)

Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = %3D

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Q: Use the guidelines of this section to sketch the curve   y = x e -x

A: Consider the given function as y=xe-x

Q: Find the point of inflection of the curve y= -x^3+x^2-x+1

A: The expression for the curve is given as, y=-x3+x2-x+1 The expression for the point of inflection…

Q: write the equation of the tangent and normal line line of the curve. huow somtion your 1 . f(x) = -…

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Q: nsider the curve x3 + y2 - 4xy = -2

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Q: Locate the inflection points of the curve y = e²x²

A: The given curve is y=e2x2. The first derivative of y=e2x2 is, y'=ddxe2x2=2xe2 The second derivative…