Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. x = 3 sin t , y = 3 cos t , t =- 4

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 25. VE, y…

A: Equation of the tangent line is (y-y1) = m (x-x1) , where m = slope of the tangent, x1 and y1 points…

Q: Find the coordinates of the point in the first quadrant at which the tangent line to the curve 7x –…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 x = 9…

A: The parametric equation of the curve is  x = 9sint, y = 7cost To evaluate : The slope and the…

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point y = 6 sin a at the point…

A: We have to find

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: a). Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find the equation of the tangent line to the curve y = 6 sin a at the point (, 3). The equation of…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

A: For t=1,x=1+11=1+1=2y=1-11=0

Q: Find the slope of the tangent line for the curve r= 9 + 8costheta when theta=pi/4

A: Consider the curve. r=9+8cosθ Find the derivative of the curve with respect to theta. drdθ=−8sinθ…

Q: Find the equation of the tangent line to the curve y 3 sec z 6 cos z at the point The !! equation of…

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Q: Find the equation of the tangent line to the curve y = 2 sin x at the point 6 (1). The equation of…

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Q: Find the equation of the tangent line to the curve y = 6 sin r at the point ,3). (중. The equation of…

A: To find the equation of the tangent line to the curve, y=6 sin x, at the point π6, 3.The equation of…

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point , 4). The equation of…

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Q: Find the equation of the tangent line to the curve y = 4 sin a at the point (, 2). The equation of…

A: Given the curve :

Q: Find the slopes of the tangent lines to the curve y = Vx at *,=16. The slope at ,=16 is Blank 1. The…

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Q: Find the equations of the lines that are tangent to at the origin the curve X cos t, Y = 0.5(sin 2t)

A: Please refer the attached image for complete solution.

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: To find the slope of the line tangent to the graph of f at P. (b) To determine an equation of the…

Q: (). Find the equation of the tangent line to the curve y = 5 tan x at the point The equation of this…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

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Q: Find the equation of the tangent line to the curve y = 6 sin z at the point (, 3). The equation of…

A: The given equation of curve: y=6 sin x

Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = –1. x =…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the…

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point The equation of this…

A: We know that the expression for slope of tangent to the curve at a point P(x, y) is: m=dydxp(x,y)…

Q: Find an equation of the line.

A: Consider the given curve

Q: Find the slopes of the tangent lines to the curve Y V* at *,=16. X_%3D The slope at X,=16 js Blank…

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Q: Find the equation of the tangent line to the curve y = 2 sin z at the point (, 1). The equation of…

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Q: Find the slope of the tangent line to the given curve at the given value of x. Find the equation of…

A: Given curve, y=x cosx              ...(1) And x=0

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = = 2…

A: The parametric equation of the curve is given by x = 2cost, y = 3sint To evaluate: The slope and the…

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

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t I = 4…

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Q: Given the function f(x)=−2xcos(x), find f′(x). Then find the equation of the tangent line at at the…

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Q: find an equation for (a) the tangent line to the curve at P and (b) the horizontal tangent line to…

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

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Q: Determine the slope of the tangent line at the pole to the curve r=√2 -2 sinθ Choices: a) 1/2 b)…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = x = 4…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = * = 7…

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Q: Find the equation of the tangent line to the curve `y = 3 \sec x - 6 \cos x`at the point (\pi/3 , 3)…

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Q: Find the equation of the tangent line to the curve y = 6 sin e at the point (, 3). The equation of…

A: Equation of the tangent line

Q: Find the equation of the tangent line to the curve y = 2 sin x at the point (, 1). The equation of…

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Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: given that x-1 f(x)=

Q: Find the slope of the tangent line to the path of a carnival ride x=7 cos(t)+ sin(7t), y=7 sin(t)+…

A: Here, the path is: x=7cos(t)+sin(7t), y=7sin(t)+cos(7t)

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t=pi/6.…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 9 sin(t),…

A: To determine the equation of the tangent line and then find the equation of the tangent line.

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (, 3). The equation of…

A: To find the equation of the tangent line to the curve, y=6 sin x, at the point π6, 3.The equation of…

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The given function and point are: fx=2x; p4,1   Answer(a): The slope of this function is given by…

Q: Q2:Is the point lies on the curve? x² cos² y – sin y = 0, (0, ) if so, find the equations of lines…

A: given curve is                                                  x2cos2y-siny=0,   (0, π) we have to…

Q: Find the equation of the tangent line at the given point on the curve. xy? = 36. (1,6) The equation…

A: This question is related to equation of straight line, we will solve it using given information.

Q: find an equation for (a) the tangent line to the curve at P and (b) the horizontal tangent line to…

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Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2).…

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