The point P(10, 1) lies on the curve y = Vx – 9. (a) If Q is the point (x, x – 9), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (i) 9.5 (ii) 9.9

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A: Solution:-

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A: We find the slope of f(x) at x=1 by finding f'(1)

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Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

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Q: Q1)a) Find line that are tangent the curve x2 + xy – y² = 1 at the point (2,3)

A: Explanation of the solution is given below...

Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

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A: Slope of tangent line is y'

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A: To find the equation of the tangent line to the curve f(x).

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Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

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Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t); y = t³ – 3t2 +…

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Q: = 14. Find the point(s) of the tangent to the curve h(x): as 48x + 2y = 11 *Round answers to 1…

A: The given curve is h(x)= x4/4-x3/3-5x2-8x+3 whose slope is same as 48x+2y=11

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

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A: Given that: lny+e2x-1=y-4x

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A: We have to find

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Q: Find the slope of the tangent line to the curve Ar 3ay + 2y°= 3

A: Given,         The curve is 4x2-3xy+2y3=3 at the point 1,1.

Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…

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Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

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Q: Find the values of a and b for the curve x2 y + ay2= b if the point (1,1) is on its graph and the…

A: Find the slope of tangent line

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: 6. Consider the curve 5x - xy + y =7. The slope of the line tangent to the curve at the point (1,2)…

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Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

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A: Given query is to find the slope of the tangent.

Q: Q4:a) find the equation of the tangent and normal line to the curve y = 10 - at point (6,4). ? 7-x…

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Q: Find the slope of the tangent line to the curve y = g²+4r+7 at the point (0, 3). 7a+2 Determine da…

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Q: 14. Find the point(s) of the tangent to the curve h(x) x3 5x2 – 8x + 3 with same slope 3 4 as 48x +…

A: first find the slope of curve h(x) then find the slope of line. Therefore equate both slope in the…