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 = 11 − t2,    y = t3 − 48t

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

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Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: Use the tangent lines shown at points  P1 and P2  to find the slopes of the curve at these points.…

A: Tangent at P1 is connecting (0,2) and (1,5).Using those two points we can find slope of that…

Q: Find the length of the given curve: r(t) = (-3t, -5 sint, -5 cost) where -2 < t ≤ 2.

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: For what value of x is the tangent line to the curve y= x2 – 6x+5 horizontal? A В -6 3 D -3 E none…

A: Given y=x2-6x+5

Q: Sketch a curve with the following properties. 0, for x> 16 Choose the correct graph below DA. В. Q…

A: Here it is given that;  f'(x)&lt;0 and f''(x)&lt;0 for x&lt;16and f'(x)&lt;0 and f''(x)&gt;0 for…

Q: Find the exact length of the curve x = 5 + 12t? for 0 <t <1 y = 6 + 8t3

A: The objective is to find the exact length of the curve x=5+12t2, y=6+8t3 for 0≤t≤1 Now, dxdt=24t and…

Q: Find the points on the curve where the tangent is horizontal or vertical. x = t3 − 3t,    y = t2 −…

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Q: Find the equation for the tangent to the curve y= exp 5x] at the f(x) = exp [5x?] The equation for…

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Q: Use the graph to answer the following questions? (see the graph as attahced )   Estimate the…

A: Consider the curve    y3−9y2+27y+5x2=47

Q: Q2- Sketch the curve: y = (x+1)

A: The function given to us is  y=x(x+1)2

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 exact length of the curve. x = e - 9t, y = = 12e2, 0 sts 4

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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: O Find asv mPtotes of the Following curves then graph them? Y= X2 +V 2-X

A: Topic:- function

Q: Use the graph to answer the following questions? (see the graph as attahced ) Estimate the point(s)…

A: We have given a graph of a function .  We have to estimate the point(s) where the graph has a…

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 slope of the curve at the point indicated y = 1/x - 1, x = 3

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given: y=5x2+4 ; P3,49 we know that slope at given point 3,49 is given by y'3 so, for finding slope…

Q: Find the slope of the line tangent tangent to the graph a the given poin 4 y = ,x = 6 5+x 4 m = 121…

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Q: Find the point(s) on the graph of the following equation that have horizontal or vertical tangent…

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Q: Use the graph shown to estimate... a) 20 the slope of the secant of the curve between x =2 and x =…

A: The slope of a graph represents the rate of change of the output with respect to the change in…

Q: Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

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Q: Find the exact length of the curve. y =x2 - In(x), isxs4 y 1.0966

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Q: For the curve y = ax3 + bx2 + 12x -7, what values of a and b will make the tangents to the curve at…

A: given  y=ax3+bx2+12x-7a=?b=?

Q: Complete the following sentence: The equation of the tangent line to the curve y=2/x+1 at x= is…

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Q: Find the slope of the curve at the indicated point. y = x2 + 3x - 5, x = 2 O m = 7 O m = 2 m = 10…

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Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

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Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

A: topic - equation of a tangent line

Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find the equation of curve on which point P lies. The difference of the distance between P(xy) and…

A: We will find out the required equation of curve.

Q: Find the slope of the graph of y : r (t) = (2t² +1, 3t – 1) at t=1.1. Your answer has to be numeric,…

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A: We have to find the value of a and b according to the given information

Q: Find the exact length of the curve. x = 4 + 6t?, y = 1 + 4t³, 0sts4

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Q: . For what value(s) of x is the tangent to y = 5 (3x-12)4 horizontal? A) -103, 680 B) -4 C) 4 D)…

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Q: Differentiate implicitly to find the slope of the curve at the given point yA + x3 = y? + 12x; (0,…

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Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

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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: 4. (x – h)? + y² = c²

A: The solution are next step

Q: The curve y = xe-x^2 has how many horizontal tangents? (a) 0 (b) 1 (c) 2 (d) 3 (e) none of these

A: our objective is to find the asymptote

Q: Q4: L.Find the tangent of the curve y at the point (2,2) y = 31*+ 21 and x-1? 2. Find where

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h)…

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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: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Given y6+x3=y2+12x To find the slope of the curve , take derivative Given point is (0,1)