Find the slopes of the curves at the given points.Sketch the curves along with their tangent lines at these points. Cardioid r = -1 + sin θ; θ = 0, π

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

A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: Use the tangent lines shown at points  P1 and P2  to find the slopes of the curve at these points.…

A: Tangent at P1 is connecting (0,2) and (1,5).Using those two points we can find slope of that…

Q: The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this…

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Q: What curves are represented by the following? Sketch them. [cos t, sin 2t, 0]

A: To Sketch: The curves represented by the parametric form [cos t, sin2t, 0].

Q: Consider the following. x = sinh(t),    y = cosh(t) (a) Eliminate the parameter to find a…

A: a) We are going to use the identity to eliminate t. Then plug x = sinh(t),    y = cosh(t)

Q: Find the moving trihedral of the curve 7(t) at the indicated value: 7(t) = cos? t î + sin? t ĵ + 1…

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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: 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 = 5z cos z at the point (T, -57). The equation…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: the equation of the tangent line to the curve y = 4 sin x at the point equation of this tangent line…

A: We are asked to find the tangent line of the curve.

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: The slope of the given curve at B = 60 degrees x = tan B, y = sin B

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Q: Find the equation for the tangent to the graph of y at y= sin The equation of the line tangent to…

A: Given:y=sin-1x6  at 3,π6Tangent line:y-y1=mx-x1m=dydx

Q: Trace the curve r= 1/2 sin(theta) cos^3 (theta)

A: Given curve is: r=12sinθcos3θ ⇒r=142sinθcosθcos2θ=14sin2θ1+cos2θ2=18sin2θ+18sin2θcos2θ Here replace:…

Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: Consider the curve defined by x? = e-y for æ > 0. At what value of x does the curve have a…

A: Given x2=ex-y, x>0

Q: Given the parametric equation of a curve: x(θ) = sin θ − 1 and y(θ) = θ + cosθ a. Find dy/dx b. Find…

A: Given that  x(θ) = sin θ − 1 and y(θ) = θ + cosθ To determine the  Find dy/dx b. Find d2y/dx2   c.…

Q: Please help

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Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. The…

A: Given

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0< 0 <…

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Q: Consider the following. X = sin A y = cos -π<θ< π (a) Eliminate the parameter to find a Cartesian…

A: To determine the Cartesian equation of the given curve.

Q: y? = (2, 2) %3D 4 x

A: To find: the equation of tangent and normal line to the curve at the given point.  Given: The…

Q: Find the slope and concavity (if possible) at the given value of the parameter. x(0) = 2 + sec(0),…

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Q: Q2:Is the point lies on the curve? x* cos y- sin y= 0, (0, 7) if so, find the equations of lines…

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Q: What is the slope of the given curve at the specified point? x = cos(y); y = -pi/3

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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 for the tangent line to the curve atthe given point. Then sketch the curve and…

A: Given- y=x-12+1 To find- the equation of the line which is tangent to the given curve. Using…

Q: Find all points on the curve y = cot x, 0 &lt; x &lt; p, where the tangent line is parallel to the…

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

A: (a) we have to find the slope of the tangent to the graph of f at P. f(x)=1x  ,…

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: Sketch the following curves and find the points of intersection of the pairs of curves. a) r=…

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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: Find all points on the curve y = cot x, 0 &lt; x &lt; π where the tangent line is parallel to the…

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Q: C: y= 3 17 + 12 4 | +

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Q: Find an equation of the tangent plane at the given point: F(r, s) = 3 - 3r3, 1 (2, 1) = Z Submit…

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Q: Consider the curves D1: s = 2 - sin Θ and D2: s = 3sinΘ. What is the slope of the tangent line of C1…

A: The solution are next step

Q: QUESTION 2 Find an equation of the tangent to the curve at the point corresponding to the given…

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Q: In x Find the equations of the tangent lines to the curve y = at the points (a) (1,0) and (b) (e,…

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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: Find an equation for the line tangent to the graph of y = tan at the point (4,1/12). What is the…

A: The given graph and the point is

Q: Find the tangents to the graph shown below at the origin and the point (1, - 3). The tangent to the…

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Q: Identify the curve by finding a Cartesian equation for the curve.17. r = 5 cos θ

A: We need to find the curve by finding a Cartesian equation. Here,  r = 5 cos θ. Let us take x=r cosθ…

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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

Q: Find the slope of the curve below at the given points. Sketch the curve along with its tangents at…

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Q: x = cos 2t (a) i = (b) i = } (c) (,1) y = sin 41 %3D

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

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 an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. The…

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