Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. (Enter your answers as a comma-separated list of ordered pairs.) x = t³ - 3t, y = t² - 8 horizontal tangent (x, y) = vertical tangent (х, у) -

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

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Q: The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this…

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Q: Find all points (if any) of vertical tangency for the curve represented by x = t? + 2t – 3 and y =…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2? + y?)? = 25(2² – y²) at the…

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Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing t att-0. x =…

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Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: Thus, the corresponding points are -5, 128 and -5, -128.

Q: The curve y = 1/(x 2 + 1) is called the witch of Agnesi after the Italian mathematician Maria Agnesi…

A: y=1x2+1we have to find tangent line at x=±1

Q: 3t4 + t - 2t,y = 1. Find all points (coordinates), if any, on the curve t3 3t2 at which the tangent…

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

Q: The a coordinate of the point of intersection between the two curves y = ellz and y= 1 is x =

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Q: Find the point on the curve y =√ x that is closest to thepoint (3 ,0) .

A: Let (x,y) be the point on the given curve which is closest to the point(3,0) where The distance…

Q: Find the points that touch the x axis of curve v = u2 + pu (n+1). Where n = 744. Also find the…

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Q: Find the coordinates of the stationary points for the curve  y =-x3 -4x2 + 3x +18. Determine the…

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Q: Find the exact length of the curve.   y2 = 4(x + 4)3 , 0 ≤ x≤ 2 , y> 0

A: Given: y2=4x+43,0≤x≤2,y>0 To Find: Find the Exact length of the curve. Concept: Length of the…

Q: Given the equation of curves: y = x2 + 7x + 6 and x - 2y = 6. Find the slopes of the tangents of the…

A: We begin by finding the points(s) of intersection of the 2 curves y =x2+7x+6  &  x-2y = 6y…

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x² + 4x – 12…

A: Given: (1)  y=x3-3x2+4x-12 (2)  y=x2-52

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: Differentiate x and y with respect to t and equate them to zero.

Q: Q5. The curve y = ax? + bx + c passes through the point (1, 2) and is tangent to the line y =x at…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: given  curvex = t3-3t             ;    y = t2-9

Q: find equation for the lines that are tangent andnormal to the curve at the given point.xy + 2x - 5y…

A: Given : The equation is x y + 2x - 5y = 2 and point (3, 2).

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 2. y = (x2 – 3)2

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Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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Q: Consider the curve 2y° + y – y° = x* – 2x° + x². a) This curve has sometimes been likened to a…

A: Given: 2y3+y2-y5=x4-2x3+x2. Graph the curve: The graph of the function represents a bouncing…

Q: The curve -4x – 3y³ – 7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw…

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Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: y 2 Find the length of the curve x y? from y = 1 to y = 9. -

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Q: find equation for the lines that are tangent andnormal to the curve at the given point.x^3/2 +…

A: Given: x32+2y32=17    at the point (1,4)

Q: For the curve y = ax+ bx + 12x- 7. what values of a and b will make the tangents to the curve at x…

A: Given, The curve  y=ax3+bx2+12x-7 We have to find the value of a  and b such that tangent to the…

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx %3D

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Q: Sketch the curve x = 3sin2t, y = 4cos2t

A: This question is taken from the function in which we have to sketch the given function parametric…

Q: xy = -4 and y² = 2х

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Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y…

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Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0)

Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y+ 3)2 = 50 at the point P…

A: Here, the given equation of the circle is (x-3)2+(y+3)2=50. We need to find the equation of the…

Q: y=x^2+5  Determine at which point, (x,y), in which the graph has a horizontal tangent line.

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Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

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Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: 2. Consider the curve in the plane whose equation is 2x2 + 2xy + y = 2. (a) Find the x-intercepts of…

A: X intercept is the point where curve touches the x axis. So to find x intercept put y=0 in the…

Q: Discuss the properties of the curve and sketch fully: a) y = x2 e-x b) y = 1+lnx

A: To sketch the curve : a) y = x2e-xb) y = 1 + ln xx

Q: Find the angles at which the curve y=x3−x intersects the x-axis.

A: The angle at which curve intersect the x axis is determined by the angle of slope of tangent to the…

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: For the curve y= ax + bx? + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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