Find the equation of the line tangent to the curve y = 3x at (2,2). Use the tangent feature of a graphing calculator to view the curve and tangent line. x+1 The equation for the tangent line is y =:

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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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 of the tangent line to the graph of y = 6x at the origin and at the point (- 1, -…

A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

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Q: I. Find the equations of the horizontal and vertical Tangents. x3 + 3x? – y? = 0

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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: The curve's equation is given by x* + y4 = x² + y?

A: Here is the solution of the given problem.

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 an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: Given

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Consider the following curve. y = 3x2 14x + 1 Find the slope m of the tangent line at the point (5,…

A: Slope of the tangent is obtained by dy/dx

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

A: The given function is y=x2-4x and the point is 1,-3

Q: Determine the equation of the line tangent to the curve at the given point. y = In(x? – 5x + 1), (5,…

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Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

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Q: Find the equation of the line tangent to the function at the given point. Your answer should be in…

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Q: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx 1.

A: According to the given information, it is required to fine the equation of tangent.

Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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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, y=7-x,   P(-2,3) now find slope of this equation dydx=-127-xat P(-2,3) dydx=-12×3=-16 so…

Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

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: write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

A: We have given,

Q: Given the curve y= x^3 - 4x +1 . Find the equation of the tangent at the points where the slope of…

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Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: Sketch the figure of the described situation in the problem and then solve. Determine the equation…

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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: 4) Given the equation x3 + y3 = 9x (implicit), find y'. Then find the slope and equation of the…

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Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

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

A: slope at (2,1) is dydx at (2,1) equation of the tangent line with slope and point x1,y1 is y-y1=…

Q: Consider the curve given by y = 3x* – 6x2 + 2, a. Find the slope of the curve at the point whose x…

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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: 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: x2 – 1 Find the equation of the line tangent to y = at the point (2, 1). Write your answer in slope…

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Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |…

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx…

Q: (a) Find the slope, m, of the tangent to the curve y = 2 + 5x? – 2x3 at the point where x = a. m =…

A: On finding slope of the given curve we will differentiate 1st then using formula to find equation of…

Q: If f(x) = 9x^2 - x^3, find f’(2) and use it it find an equation of the tangent line to the curve y =…

A: Givenf(x)=9x2-x3

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: Find the equation of the line tangent to the graph of x° + y° = - 2xy + 7 at (3, – 2). | 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: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

Q: Find the equation of the tangent line at the point (a,f(a)). Sketch the graph and the tangent line…

A: To find the equation of the tangent line at the point (a,f(a)).

Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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

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Q: Find the equation of the line tangent to the graph of x + y° = 2xy - 34 at (- 1, - 3). %3D The…

A: Equation of tangent line