Determine the slope of the tangent line to the curve A(x) = at x=-0.81 (answer in 2 decimal places, x² + 1 no spaces)

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: Find the equation of the tangent line to the curve y = 8 ln(x – 63) at the point (4,0). y =

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Q: Estimate the slope of the tangent line at the point indicated. (Round your answer to two decimal…

A: Given,          The slope of the tangent line fx=tanx at the point x=4.

Q: Determine the slope of the tangent line to the curve of sin(x + y) = y2cos(x)  at  the point (x,y) =…

A: Topic = Derivative

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (x + y ²)² = 25 (x² – y²) at the…

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x- 3) + xvy = 3; x=3…

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Q: Find the tangent line approximation for √1 + x near x = 5. y = |

A: Given 1+x

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: 4. x-y = 2 at (2, 2)

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Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

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Q: Estimate the slope of the tangent line at the point indicated. f ( x) = ex; x=e

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

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Q: Estimate the slope of the tangent line at the point indicated.

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 9 where the tangent line is horizontal. (x, y)…

A: According to the given information it is required to calculate the points on the curve where tangent…

Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

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Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Find the equation of the tangent line to the curve f(x)=x9 ln(x2) at x = e. (Do not approximate)

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Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A: The given curve is y=lnxx-x2 at the point where x=1. Find the equation of tangent.

Q: Find the tangent line to the curve y = 2x - x? at (2,0)

A: We can find the required answer as below

Q: Estimate the slope of the tangent to the curve y 0.25x at x = 2 algebraically by finding the slope…

A: We have to find the slope of the tangent to the curve at x=2 by finding the slope of the secant…

Q: Find the equation of the tangent line to the curve y = rVI at the point (4, 8). %3D

A: We have to find the equation of tangent

Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Determine equation of tangent line to the curve at given point. a) f (x)= 3x² - 5x +2 at x = -3 %3D

A: Equation of straight line is given by y = mx + c ; where m is the slope c is the y intercept. For…

Q: Find the slope of the tangent line drawn to the graph of 2x2−xy−y3=5 at the point (2,1). Enter exact…

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Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: 7-2x c) S(x) = I : at x=-2 5x-9

A: Given: f(x)=7-2x5x-9 given point is x=-2

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: Find the slope of the tangent line to the curve 2² – -1 4.xy + 4y: at the point (1, - 1),

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Q: What is the slope of the tangent line to the curve y= -sin 3x at x=

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Q: Find the slope of the tangent line to the curve y=Xarcc sin x at the point 2, Ta

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Q: Find the slope of the tangent line at the indicated point * y = Vx2 – 2x at x = 3

A: Here, y=x2-2x So, the slope of the tangent at x=3 is: dydxx=3

Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: Estimate the slope of the tangent line to f(x) = tan(x) at the point x = 9(pi)/4

A: Given :f(x) = tan (x)To determine the slope of th tangent line to f(x) at x = 9π4

Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula…

Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

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Q: i.) Find the tquation of the tangent line to the curve y= 2+4x- x° at the point P(-1,-1)

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

Q: Find an equation of the tangent line to the curve y = 2x sinx at the point (π/2,π)…

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Q: Describe the tangent line at an arbitrary point on the “curve” y = 2x + 8.

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Q: Estimate the slope of the tangent line at the point indicated. f(x) = tanx; x = 0

A: Slope of the tangent line is the derivative of the given function at the given point.

Q: Find the slope of the tangent line to the curve f(x) = at the point where x = 9. %3D

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Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: Find the tangent line approximation for v3 + x near x = 4. V

A: Find the derivative and then substitute the points to get the tangent line equation.

Q: Find an equation for the tangent line to the curve + xy - y = 1 at the point (2, 3). %3D

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Q: Find the equation of the tangent line at the given value of x on the curve. 4y +xy-y 32x*; x=1 y=

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Q: Find the value of x at which the tangent line to the curve y = passes through the origin. x+3

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