Find the equation of the line tangent to the graph of: y 6 at x = 1 Write your answer in the form y = k x + b. Round the coefficients to one decimal place.

Q: Find the equation of the straight line tangent to the curve xey – 1ly – 11x = –11ln5 at the point…

A: we have to find the equation of the tangent line

Q: Find the slope m of the tangent line to the curve - 4a? + 2xy + 2y = 68 at the point (- 3, 4). Give…

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Q: Q2) A/ Find the values of a and b if the equation of tangent at (2,3) on the curve y? . ax + b is y=…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: For the equation (D3 + D2)y = 4, find the solution whose graph has at the origin a point of…

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

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

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: : 6x² perpendicular At what point is the tangent line to the curve y°: to the line x+ 2y – 4 = 0?…

A: Explained below

Q: find the slope of the curve at the point indicated.

A: We have to find the slope of the curve at the given point: y=x-1x+1, x=0 We know that slope of the…

Q: Find the equation for the tangent to the curve y= exp 5x] at the f(x) = exp [5x?] The equation for…

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Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 5 e* +12x;…

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Q: Assume y = 3 · 5* is the equation for the blue line shown in the graph below, and that the black…

A: The equation of curve is:  y=3·5x

Q: Q4 if xy-yx=6 is the equation of a curve, find the slope and the equation of the tangent line at the…

A: As per our guidelines we can solve only first question. Please repost the other questions that need…

Q: Find the equation of the line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

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Q: Find an equation of the tangent to the curve at the point (1, 81) I = e', y = (t– 9)2

A: Given: x=et,y=(t-9)2   at (1,81)

Q: Ex2.) Find the equation of the line tangent - 4x* +11x to f(x) = and parallel to the line y +4x =…

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Q: Find the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:

A: The solution is given as follows :

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

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Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: Determine the equation of the tangent to y = (x – 7)(x+2) at the point P(-1,-8). Answer:

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Q: For the equation (D3+D2)y=4, find the solution whose graph  has at the origin a point of inflection…

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Q: x = 2t + 1; y = t? - 6t + 1; find the points where the graph has a horizontal tangent line.

A: Slope of a tangent is given by  dydxfor horizontal tangent line:slope=0              dydx=0

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: Find an equation of the line tangent to x = (t^2) − 3t, y = (t^3) − 1 at the point corresponding to…

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Q: Find the equation of the straight line described below. At right angles to y = e* at the point where…

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Q: Given the equation below, find dy dr 39x² + 9x52y + y² = 49 d.x Now, find the equation of the…

A: topic - derivative and equation of tangent line

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. 10)…

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Q: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

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Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

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Q: X = t3 - 6t2 y = t2 - 2t Find an equation for the line tangent at the point where x = 16 and t > 0.

A: The equation of a tangent at a point (x1,y1) on the curve is given by the expression y-y1=m(x-x1).…

Q: Find the point (s) on the graph of the following equation that have horizontal or vertical tangent…

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Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find the slope of the graph of y : r (t) = (2t² +1, 3t – 1) at t=1.1. Your answer has to be numeric,…

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Q: Find the points on the curve where the tangent is horizontal or vertical. r = t - 3t, y = t?- 3.

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Q: EX Find the equation of the tangent Line to the curve y=x? at c 204)

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Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: find an equation of the tangent line at the point indicated. s(t) = 39t , t = 2

A: Consider s(t) = 39t  Find s(2)

Q: Find the equation of a tangent line that is tangent to the graph as stated below 3x 5y = -17 at (-1…

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Q: Find the point(s) on the graph (x- 1)2+ (y +3)² = 16 where t tangents are horizontal.

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Q: Use the formula for the slope of the tangent line to find for the curve c(t) = (9t + 5, 5t – 2) at…

A: Given curve is  c(t)=(9t+5,5t-2)x=9t+5, y=5t-2 Differentiate x and y with respect to t. dxdt=9,…

Q: 49. rınd an equation for a line that is tangent to the graph of y = e and goes through the origin.

A: Given,            we have to find the equation for a line that is tangent to the graph of y=ex

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: use property of chain rule to find the slope and equation of tangent line

Q: Find the points on the curve where the tangent is horizontal or vertical. 20. a = t – 12t, y = t –…

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