Numerically estimate the slope of the line tangent to the graph of the function fat the given input value. Show the numerical estimation table with four estimates. (Round your answers for fx to six decimal places. Round your for the slope of the secant to four decimal places. Estimate f(1) to the nearest hundredth.) fx) = 2x;x= 1 1) fx) -x) Slope of secant Slope of secant flx) fx) x1 = x1 1 x 1 x 1.0283 0.9762 1.897367 2.007618 0.9 1.1 1.0025 1.989975 2.009975 0.9975 0.99 1.01 1.002 2.001000 0.9997 0.999 1.999000 1.001 1.0001 2.000100 0.9999 1.999900 F'(1)1

Q: (a) Find the slope of the tangent line to the function y 3+sec (x) at 1-sec (x) X = -. 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The slope of the tangent line to the graph of the function y = 2/x – 6 at (36, 6) is 6 -0.50 0.17…

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Q: .) Write the equation of the normal line of f(x)=2x^2-1/x at x=1? b.) Let y=4x^4+x. At what point…

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Q: 1. Determine the approximate slope of the tangent to the curve 2х-1 f(x) = at x = -3, to 1 decimal…

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

Q: of the derivativ the slope tangent at 2. aluate each of the following and enter your answers in…

A: The explanation of answer as follows :-

Q: The tangent line to y=f(x) at (2/(2) is line through given point whose slope is equal to (a) f (a)…

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Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: 3. At what points on the urve x = 2 t³, y = 1+ 4t – t² does the tangent line have slope =

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ау 10- 9- 8 7 6 5 4 4 -1 0 I…

A: Here is the solution.

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

Q: -1 Where on the curve y = (256+ x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. %3D Ay 40 9- 8- 7- 6- 5- 3-…

A: From the graph the line passes through the points (5, 9.25) and (0.25, 1) then the slope of the…

Q: 2. Estimate the slope of Ix) at the point: a) where x = 3 b) where x = 2 YA fx) 4 3 2 1 2 3 4 5 6 1.

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Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

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Q: Find the equation of the tangent line to the graph of y = -2x° + 6x? – 5x + 10 at the point (1,5) in…

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Q: For which value(s) of x does f(x)=4x2+5x+17 have a tangent line of slope 4?If there is more than one…

A: f(x)=4x2+5x+17 Slope of the tangent is given by dy / dx = f'(x)So, we will have to differentiate the…

Q: The slope of the tangent line to the graph of the function y = 8VI - 4 at (16, 28) is O 1.50 O -1.75…

A: Given function is, y=8x-4

Q: Supposo that f CK th)-f(x)- -2h (x+2) -h? h(Xth +2)? (x+2)? Find the slope of the tangent line at…

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Q: Show that the sum of the x - and y  -intercepts of any  tangent line to the curve  sqrt x + sqrt y =…

A: We find the dy/dx then we find the slope at a point (h,k) by plugging x=h and y=k

Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

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Q: The slope of the tangent line to the graph of the function y = 9/x – 7 at (49, 56) is . O -1.14 O…

A: Given,  The function  y = 9x - 7   We have to find the slope of the tangent line at 49, 56.

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: Find the equation of the tangent line to the curve y = f(x) at the given point. y = f(x) = x²-x, at…

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Q: What is the value of the slope of the tangent line to the curve y+y S passing through the point with…

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Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

Q: Show that the slope of the secant line for f(x) = x 3 - 2x over[5,x] is equal to x 2 + 5x + 23. Use…

A: Given: y=fx=x3-2x; 5,x we know that slopem of secant for any given functionfx over a,b is given by…

Q: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67…

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10- dp 4 -> -1 0 1 2 3 4…

A: slope of the line passing through the points x1,y1 and x2,y2 , m =y2-y1x2-x1.

Q: The slope of the tangent line to the graph of the function y = 7 x – 3 at (9, 18) is. O -2.67 O 1.17…

A: We know that dy/dx gives slope of tangent at any point.

Q: Find f(x) if f(1) 7 1 and the tangent line at (x, f(x)) has slope f(x) =

A: We know that the slope of tangent at any point to the curve of a function is given by the derivative…

Q: A. Find the slope of the line tangent to the given curve at the indicated point. 1. f(x) = 3x + 10…

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Q: 2. Find the slope-intercept form of the tangent line to f(z) = Vī at 1 = 4.

A: Given,f(x)=x at x=4 We find the y-coordinate of x0=4.⇒y0=f(4)⇒y0=4⇒y0=2 Hence, P has…

Q: Estimate f(5.06) for ƒ as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

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Q: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

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Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…

A: Here we have to find the value of x.

Q: Estimate the slope of the tangent line at the point t = -6, for f(t) = 4t – 2. (Give your answer as…

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Q: a) What is the slope of the tangent line to the graph of f at x= n ?

A: Given, fx = 4cos2x -2esin3x  We have to to find the slope of the tangent line to the graph of f at x…

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: It is required to find the slope of tangent line from graph and then verify it analytically.

Q: Let f(9)=−4 and f′(9)=−4. Then the equation of the tangent line to the graph of y=f(x) at x=9 is:…

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Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: The slope of the tangent line to the graph of the function y = 8vT- 4 at (16, 28) is O 1.00 O -2.25…

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Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

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Q: Find the equation of the tangent line 7 to the graph of f at the given point. Use this linear…

A: The solution is given below

Q: Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1.…

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Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π/4 Give your answer in…

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Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…

Q: Find the slope of the tangent line to the curve x y-y = 10 at the point (3,2). -5/3 0 1 0 4 O 1/4

A: Given a curve x2y - y3 = 10  So here slope of tangent will be dydx  at given point 3 , 2 Now…

Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1.

A: Let's find.