A space traveler is moving from left to right along the curve y=x^2. When she shuts off the engines, she will continue traveling along the tangent line at the point where she is at that time. At what point should she shut off the engine in order to reach (4,15)?

Q: The slope of the tangent line to the curve y=4/x at the point (9,49) is:

A: To Determine: Slope of the tangent line to the curve at the point (9 , 49). Given curve is:…

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. xy² = 18…

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Q: Find the slope of the tangent line to the curve 4x2 – 2xy – y = 32 at the point (2, – 2).

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Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: canx at point (π, π)

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Q: At which point on the curve y = 5+ 2e- 3x is the tangent line parallel to the line 3z-y= 5? Just…

A: NOTE: Refresh your page if you can't see any equations. . the given line is  here coefficient of…

Q: What is the value of the slope of the tangent line to the curve *y+y<=5 passing through the point…

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Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the…

Q: At what point on the curve  y = 6 + 2ex − 3x  is the tangent line parallel to the line  3x − y =…

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Q: What is the slope of the tangent line to the curve y=3cos2x  at x=π/4 ?

A: First find out derivative then put the value

Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

Q: At what point on the curve y = 9 + 2ex − 6xis the tangent line parallel to the line 6x − y = 4?

A: The curve equation is y=9+2ex-6 To find point on curve tangent to curve and parallel to line 6x-y=4

Q: Find the tangent line at (-1,3) to the curve y* – 2xy – 27 =0. ,3 |

A: Given- y4-2x2y3-27=0 To find- The equation of the tangent at the point -1,3 to the above curve.…

Q: Determine point(s) where tangent lines to the curve is vertical / horizontal.

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: Find the slope of the tangent line to y=3x at x=0.   Show all work please

A: The given equation is y = 3x.Differentiate with respect to x on both sides,(dy/dx) = 3x ln(3).

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find an eqaution of the tangent line to the curve at the given point. y = 4x - 3x2, (2,-4)

A: The given function is y=4x-3x2 and the point is 2,-4

Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

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Q: Find the tangent and normal lines to the curve ペー9ーチ at the Pomt (-62)

A: Given, The equation of the curve  x2-xy+y2 = 7  We have to find the equation of tangent and normal…

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: What are the coordinates of the point on the curve f(x)=4/x^2  -x where the tangent is horizontal?

A: Given:  f(x)=4/x^2  -x

Q: Find the equation of the tangent line of funclion y= ²+1 23 -2 at (40,- 73)

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Q: Find an equation of the tangent line to the curve at thegiven point.

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

Q: Find the slope of the tangent line to the graph at the given point. 4xcosy +1 = 5 at the point (2,)

A: Solve, as follows: 4xcosy+1=541cosy+x-sinydydx=0dydx=cosyxsiny

Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: What are the coordinates of the point on the curve f(x)= x- where the tangent is horizontal?

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Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

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Q: What is the slope of the tangent line to the graph of y= x + cosxy at the point (0,1)?

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Q: What are the coordinates of the point on the curve f(x)=x- 4 where the tangent is horizontal?

A: To find the co-ordinates of the point ..

Q: Find the equation of the tangent line to the curve y = 4x − 3x 2 at the point (2, -4)

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: At what point on the curve  y = 4 + 2ex − 4x is the tangent line parallel to the line  4x − y = 9?…

A: Given, y=4+2ex-4x First, find the slope of tangent line parallel to the line 4x-y=9 Find the point…

Q: calculate the slope of the tangent line to the curve 3x3y2-2y3=-4 at the point (1,2)

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Q: At what exact point on the curve y = 9 + 2ex 5x is the tangent line parallel to the line 5x – y = 4?…

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Q: What are the cordinates of the point on the curve /(x)= -2x where the tangent is horizontal?

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Q: Show that the curve y = 2ex + 3x + 5x3 has no tangent line with slope 2.

A: To show that the slope of the tangent at every point is different form 2, for the given curve

Q: How many tangent lines to the curve pass through the point (1, -3)?

A: We know that slope of the tangent at any point on the curve is equal to the value of the first…

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

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Q: Find the equation of the tangent line to the curve CULUE yt + In (x²+y) = 5x -1 point (2,-3) at the

A: Given: y2+lnx2+y=5x-1 for finding equation of tangent, we need to find slopem of the tangent we know…

Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Find an equation of the tangent line to the curve x2/3 + y2/3 point (1,8). 5 at the

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Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…