find an eguati on of the tangent line to the suve Note: you must Use -3X the definifion of the denvatve to get slope of tangent line

Q: Find the equation of the tangent line to the cycloid generated by a circle of radius r = 1 at i =…

A: The solution is given as follows

Q: tangent

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Q: Find the slope of the tangent to the curve at the point specified. x + 2xy + y? = 25 at (1, 4) %3D

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. r = 1- sin 0

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Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: Find a number 0 such that the tangent of 0 degrees is larger than 50000. 42.

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Q: The slope of the tangent line to the curve C at the point (1, 2) is

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Q: The long chord from PC to the PT of a compound curve has its angles with the tangent passing through…

A: Given: Let the angle between PC and long chord is θ1=11∘ And, the angle between PT of long chord is…

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

Q: Find tangents at the for pote

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Q: Find an eqaution of the tangent line to the curve at the given point. y = √x, (1,1)

A: We have to find the equation of tangent line to the curve: y=x at the point 1, 1 We know equation of…

Q: Find the tangent line to the Witch of Agnesi (graphed here) at the point (2, 1). 8 y + 4 (2, 1) 1 2…

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Q: Find the tangent line to the Witch of Agnesi (graphed here) at the point (2, 1). 8 y = x + 4 (2, 1)…

A: y = 8 / (x2 + 4) point (x1, y1) = (2, 1)    equation of the tangent line: (y - y1)= m(x - x1)

Q: nt line to the following

A: The given equation is y=5x2-7 at x=1

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y= x + 5X at the…

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Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

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Q: 2. Find the slope of the tangent line to the curve x? + y? = 1 at the point ) %3D

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Q: Find the slope of the tangent line to the circle r = 4cosθ at the point where θ = π/4.

A: Given- r=4cosθ To Find- The slope of the tangent line to the given circle at the point θ=π4.

Q: Find an equation of the tangent line to the curve at thegiven point.

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

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 an equation of the tangent line to the curve atthe given point.y =sqrt ( 1 + x 3 ),…

A: Given, y=1+x3 , (2,3)

Q: Estimate the slope of the tangent line to each curve at the given point (x, y)

A: To find the slope of the tangent line to each curve at the given point (x, y).

Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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Q: Find equation for the tangent line at (-l,1) , then an to the curve y= | sketch them togethor

A: Recall: Slope -point intercept form: y-y1=m(x-x1) ; where (x1,y1) is given point and 'm' is the…

Q: Find the points on the curve where the tangent line is horizontal or vertical, r=1-sin⁡θ and sketch…

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Q: Find the slope of the tangent line to the curve defined by 2.- 6zy – 9y? - -622 at the point (1,8).…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: 18. Which of the following does NOT describe a tangent line at a given point?

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Q: Find the slope of the tangent line to the curve below at the point (6, 8). V3r + 4y + V2ry…

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Q: Find the slope of tangent line to the curve r=3-cas(@) coste

A: Find dy/dx

Q: The slope of the tangent line to the curve C at the point (1, 2) is (A) 4 (B -2 c) 2 D -4

A: Solving the problem by finding the slope of the tangent.

Q: At what point of the curve y = cosh x does the tangent line have slope 9? O a. (in(/7), /82) O…

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Q: The slope of the tangent line to the graph ofr-y In(ry) at the point (1, 1) is

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Q: Which graph in Figure 5 has the following property: For all x, the slope of the secant line over [O,…

A: Which graph in Figure 5 has the following property: For all x, the slope of the secant line over [0,…

Q: Let point E lie in the exterior of OP. How many tangent lines can be constructed to OP from point E?

A: two tangent line can be drawn to a circle from a point E outside of the circle.

Q: estimate the slope of the tangent line to the curve at the given point (x,y)

A: Given that, line is the tangent line (pink) to the curve. We need to find the slope of the tangent…

Q: At what point of the curve y = cosh x does the tangent have slope 1?

A: Given curve is: y=coshx

Q: Find the points on the curve where the tangent is verticle

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Q: Let ℓ be the tangent line to the parabola y= x2 at the point (1 ,1). The angle of inclination of ℓ…

A: Given equation of parabola,y = x2       ................(1)Slope of line l is m,m = tanϕ = dydxat…

Q: At a given point, find the slope of the curve, the line that is tangent to the curve, or the lien…

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Q: find the slope of the tangent line to the curve at the given point. x^2 + 4xy + y^2 = 13, (2,1)

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Q: Find the points on the given curve where the tangent line is horizontal and vertical. r=1-sin(theta)

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Q: Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if…

A: as ST is tangent  ∠RST = 90 Therefore. △RST is right angle triangle : RS = radius = x

Q: Find the slope of the tangent line at the indicated point for: а? — 2а at the point (1, —2).

A: This is application of derivative.

Q: Where on the curve y = (100 + x?)- does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Find an equation of the tangent line to the circle found in part c at the point of tangency of…

A: d. Firstly let's calculate the radius of the circle. The end points of the diameter is A73,94 and…

Q: Find all points on the curv of the tangent line is -1.

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