the curve S 8. 56. a. Horizontal tangent lines Find equations for the horizontal tangent lines to the curve y = x – 3x – 2. Also find equations for the lines that are perpendicular to these tangent lines at the points of tangency. b. Smallest slope What is the smallest slope on the curve? At what point on the curve does the curve have this slope? Find an equation for the line that is perpendicular to the curve's tangent line at this point.

Q: The point P(S, -2) lies on the curve y = 2/(4 - x). (a) If Q is the point (x, 2/(4 - x)), use your…

A: Given the point P(5,-2) lies on the curve y=24-x & Q is the point x,24-x.

Q: The The point P(8, −2) lies on the curve y = 2/(7 − x). (a) If Q is the point (x, 2/(7 − x)), use…

A:

Q: Find ​the slope of the curve at the given point​ P and an equation of the tangent line at P.…

A: solution:-y=-3-4x2point, P(x1, y1)=-3, -39slope=dydx=ddx-3-4x2=-8xat point -3, -39slope=-8(-3)=24

Q: I am doing homework for Calculus and I am having trouble with #3 tangent problem on Secction 2.1 of…

A: The method to find the slope of secant  line PQ is shown on board.

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A:

Q: 3) a) Using the table method, estimate the slope of the function y1 = 4x²+7x at x = 2. Show exactly…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

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A:

Q: The point P(4, 1) lies on the curve y = Vx - 3. (a) If Q is the point (x, Vx - 3), use your…

A: Given Point P =4,1 which lies on the curve y=x-3

Q: AntAlmanac W2Quiz due Su. 2A Week 3 A https://www.we. M Inbox (1,457) - . A Official Key Ite. E Evil…

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Q: The point P(9, -4) lies on the curve y = 4/(8 - x). (a) If Q is the point (x, 4/(8 - x)), use your…

A:

Q: The point P(7, 1) lies on the curve y = Vx - 6. (a) If Q is the point (x, Vx - 6), use your…

A:

Q: Consider the following curve. y = 2x2 − 4x + 1 Find the slope m of the tangent line at the point…

A:

Q: The point P(5, −4) lies on the curve y = 4/(4 − x). (a) If Q is the point (x, 4/(4 − x)), use your…

A: Given that a curve and points P & Q:We need to find the slope of secant line PQ.

Q: The point P(6, –4) lies on the curve y = 4/(5 – x). (a) If Q is the point (x, 4/(5 – x)), use your…

A:

Q: (a) Find the slope m of the tangent to the curve y = 5/Vx at the point where x = a > 0. m = (b) Find…

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Q: Find a point on y = x closest to (18,0) For what x is the slope of the tangent line at x to the…

A: Given

Q: (a) Find the slope, m, of the tangent to the curve y = 2 + 5x2 - 2x3 at the point where x = a. m =…

A: We will find the tangent equations.

Q: ☺ Find the equation ģ the Lime that is tampent to the curve of fad= (4-32)1 at x =l (Ges fa) =…

A: Find the eqn of tangent to the given curve at x=1

Q: 1. At which point on the graph of y = e" will there be a tangent line with slope m = 6? (a) at the…

A:

Q: with a slope of 2. 48. Find the equation of the tangent and normal lines to the curve y x+x² – x+1…

A:

Q: The point P(8, -4) lies on the curve y = (a) If Q is the point (x, ) find the slope of the secant…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: (a) Find the slope, m, of the tangent to the curve y = 9 + 5x2 - 2x at the point where x = a. m =…

A:

Q: The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point (x, 3/(7 − x)), use your…

A: a) The slope between (8,-3) and  (x, 3/(7 − x)) is  Using this we make the table  x slope 7.9…

Q: 9. For which point(s) on the graph of f(x) = 5x is the slope of the tangent ? x+2 c. (3, 3) and (-7,…

A: Slope of tangent line of a function at any point is first derivative of function at that point.

Q: 5. The speed of a train during the first minute of its motion has been recorded as follows: t s0 20…

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Q: Here is the graph of y = H(t). y- H(t) 2 Draw tangent lines where the tangent line would have a…

A: Topic :- Coordinate Geometry

Q: 3 The point P(7, -3) lies on the curve y = 6 - x (a) If Q is the point x, 6 - find the slope of the…

A: Given that the point P(7,-3) lies on the curve y=3/(6-x).

Q: I am so confused, question is in the picture.

A: According to the question,

Q: The point P(6, -4) lies on the curve y = 5 - x (a) If Q is the point x, find the slope of the secant…

A: (a) Given that, the curve is y=45-x. Let x and y coordinates of the point P6,-4 is xP=6 and yP=-4…

Q: 2t (a) The relationship between the quantities y and t is defined as y= 3 (i) Find the coordinates…

A:

Q: x at the point where x = a > 0. (a) Find the slope m of the tangent to the curve y = 5/ m = (4, 2).…

A: a. The given equation of the curve is y = 5/ x^(1/2).Compute the slope m of the tangent to the curve…

Q: 3 The point P(3, -3) lies on the curve y = 2 - x 3 (a) If Q is the point (x, find the slope of the…

A: Recall: Slope of the secant line of two given points  x1,y1 and x2,y2 is given by  y2-y1x2-x1 .

Q: Find the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

A:

Q: The point P(7, -3) lies on the curve y = 3/(6 – x). (a) If Q is the point (x, 3/(6 – x)), use your…

A:

Q: The point P(10, 1) lies on the curve y = Vx – 9. (a) If Q is the point (x, x – 9), use your…

A: Since you have posted question with multiple subparts. As per the guidelines we will solve the first…

Q: The point P(6,-2) lies on the curve y= 5-X (a) If Q is the point x, 21 find the slope of the secant…

A:

Q: The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - x)), use your…

A: To estimate the slope of the tangent and write down its equation

Q: 11. The curve with the equation 2(x? + y?)2 = 25(x² – y?) is called a lemniscate (shown below). (a)…

A:

Q: a) If Q is the point (x,4/(5-x) find the slope mPQ of the secant line PQ for the following values of…

A: Given,

Q: The point P(4, -2) lies on the curve y = 2/(3 – x). (a) If Q is the point (x, 2/(3 – x)), use your…

A: the slope of the line is given by

Q: The point P(6, 1) lies on the curve y = Vx - 5. (a) If Q is the point (x, Vx - 5), use your…

A:

Q: If x>0, find the equation of the line normal to y = (x+3) and with slope - View the curve and normal…

A: Given, y = (x + 3)3

Q: The point P(S, -2) lies on the curve y = 2/(4 - x). (a) If Q is the point (x, 2/(4 - x)), use your…

A: Given P(5,-2) lies in the curve y=24-x

Q: The point P(1, ) lies on the curve y = x/(1 + x). (a) If Q is the point (x, x/(1 + x)), use your…

A:

Q: The point P(3, -4) lies on the curve y = 2 - x 4. (a) If Q is the point find the slope of the secant…

A:

Q: he point  P(8, −3)  lies on the curve  y = 3/(7 − x). (a) If Q is the point  (x, 3/(7 − x)),  use…

A:

Q: ere it crosses the y – axis.

A: Given: The curve x=y2-2y . When the curve crosses the y-axis, the x coordinate at the point of…

Q: The point P(4, -2) lies on the curve y = 2/(3- x). (a) If Q is the point (x, 2/(3- x)), use your…

A: Here is the solution of the given problem one by one.