Find an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together. 1 y = - 2, The equation for the tangent to the curve is. (Type an equation.)

Q: find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent…

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: The given curve is  y = 2x3 The given point  (2, 16)

Q: Find the equation of the tangent line at the given point on the following curve. 2+y? = 34, (5,3)…

A: For the given curve  x2+y2= 34  And point (5,3)  equation of the tangent line to the point is…

Q: Find the equation of the tangent line of the graph of ?(?) = ?^3 at x=-2.

A: The equation of tangent of a line is given by: where m is the slope and

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

A: Given function is f(x)=xx2-1. Compute the derivative. f'(x)=xx2-1=-x2-1x2-12f'x|x=2=-59 Thus, the…

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

A: Here, you need to find the slope of the line y=4-9x2 at P(2,-32). The easiest way to do it is:…

Q: The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x2y2. Find an…

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Q: For the implicitly defined equation, consider the following. 6 7. (-1) -3 -2 -1 1. 2 3 (a) Find the…

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Q: Find an equation of the tangent line to the graph at the given point. x?y2 - 9x² – 4y² = 0, (4, 2/3)

A: Given equation of function:

Q: Find the equation of the tangent to the curve y-(k-2)x=+16 X-3

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Q: Find an equation for the tangent line to the curve defined by the equation ?x^2y^2+ xy + y = 1 at…

A: Given: x2y2+xy+y-1=0 for finding equation of tangent for given curve at given point, we need to find…

Q: Find  the slope of the curve at the given point​ P, and ​ an equation of the tangent line at P.…

A: Given,y=1-7x2dydx=0-14xdydx=-14x

Q: Find an equation of the line tangent to the given curve at x=a. Use a graphing utility to graph the…

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Q: 2.x? Sketch the curve y = x? - 1

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Q: Find the equation of the tangent line to the curve ? = ? 2 − 4? + 3 at the point (4,3), then sketch…

A: For calculating the tangent line equation we will calculate the slope of the given equation at a…

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

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Q: Find the equation of the line tangent to the curve y = 3x at (2,2). Use the tangent feature of a…

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: B) For the equation below find if the point (2, 3) is on the curve and find the equation of the…

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Q: The curve below is called a serpentine. Find an equation of the tangent line to this curve at the…

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Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. Use…

A: Here we find the equation of tangent line at given point.

Q: The slope of the tangent line at any point (x. y) on a curve is 2x. If the point (9, 3) is on the…

A: the slope of the curve is the derivative of the function at that point.' here we have to form a…

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: The curve with equation y? = 3x4 – 23x? is called a kampyle of Exodus. Find an equation of the…

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

A: Given:-The curve equation, y=2x  and point P-5,-25Find:-a The slope of the curve at the given point…

Q: The equation of the curve is y? = x' + 8x. Find the x-coordinates where tangent lines are vertical.

A: We are given equation of curve  Y^2 = x^3+8x We have to find points where tangent lines Are vertical…

Q: Find the equation of the tangent line at the given point on the following curve. *+y² =41, (-4. - 5)…

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Q: Consider the equation abaixo a) Calculate y′. b) Find the two points where the curve below crosses…

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Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

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Q: 1 (-2, 1 y = 3 X

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Q: Consider the graph below. Find the equation for the tangent line to the graphs at the point (0,1).…

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

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Q: Consider the graph below. Find the equation for the tangent line to the graphs at the point (0,1).…

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

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Q: A. Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Given  y = 2x² + 4x.        (-2, 0) To find slope & equation of tangent line:

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

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Q: Find an equation of the tangent line to the curve y = r'(7 – 1) (a piriform) at the point (2,-2/10).…

A: The given curve is: y2=x3(7-x)

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

A: The equation of the curve is y=-2x3. The point of contact is (-2, 16).

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: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: Q8- Find an equation for the tangent to the curve at the given point. Then sketch the curve and…

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Q: k(x) = |x – 1| at x = -15

A: k(x)=x-1 at x=-15

Q: (b) Find an equation of the tangent line in part (a). y = (c) Graph the parabola and the tangent…

A: Please refer to the image below

Q: K) Finally, give the equation of the tangent line at point P(-4,-3). Show your work.

A: Equation of the tangent line to the function f(x)  at point (x1, y1): y-y1= m(x - x1) where m is the…

Q: Given the equation below, find da - 21a° + 3x2y+ y* = - 17 dy da Now, find the equation of the…

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

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Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h)…

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

A: Given curve is, y=11+x2 Differentiating with respect to x we get,…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)? + (y – 3)² - 37, (-1,…

A: Differentiating with respect to x, we get Now slope of the tangent at (-1, 9) is

Q: Other Math A curve goes through a point (1,2), and the slope of the tangent line to the curve at any…

A: It is given the slope of the tangent at any point Px,y is 2x