Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3, 5.7) - y= 5.7x + 11.4

Q: (viii) Find the equation of the tangent line to the following curve at the point (1, 1). 4.x²y – y =…

A: To find the equation of the Tangent line to the curve at given point

Q: (a) Find an equation of the tangent to the curve y=ex that is parallel to the line x-4y=1. (b) Find…

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Q: An equation of the tangent line to the curve C at the point (1, 2) is A у — 2%3 B y-2=2(x-1) ©…

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Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x - 11x through the point…

A: We have to find the equation of tangent line

Q: Find the equation of the tangent lines at the point where the curve crosses itself, sketch the…

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Q: 3x2 + 5y2 = 8 curve is given. a) Find an equation for the tangent line at (1,-1) 24 b) Show that y"…

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Q: A mouse Q runs along the positive y-axis at the constant speed v at the origin. A cat P chases the…

A: From the given data,  Mouse Q runs along y-axis with a constant velocity, v1. Cat P runs along curve…

Q: (a) The curve y = 1/(1 + x-) is called a witch of Maria Agnesi. Find an equation of the tangent line…

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Q: Find an equation of the line tangent to the curve xy + 4y = 68 at the point (1,16). An equation of…

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Q: The curve y = 1/(x 2 + 1) is called the witch of Agnesi after the Italian mathematician Maria Agnesi…

A: y=1x2+1we have to find tangent line at x=±1

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

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Q: A line meets a curve y=2x-1 at the point (5,4). The line is tangent to the circde C:x +y² +10x+8y+…

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Q: (a) Find an equation of the tangent to the curve y = ex thatis parallel to the line x- 4y =1 .(b)…

A: given: the equation of the curve is y=ex. we have to find the equation of the tangent to the curve…

Q: x²-xy+y²=3, find y"

A: Given that a equation of x and y and we find y" or second derivative of y with respect to x. We know…

Q: (a) If G(x) = x2 - 3x + 3, find G'(a) and use it to find equations of the tangent lines to the curve…

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Q: 24. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the of…

A: Given query is to find the slope of the tangent line at point (2,1).

Q: (a) The curve with equation y² = x³ + 3x² is called the Tschirnhausen cubic. Find an equation of the…

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Q: A curve has equation y = 3x? – Vx . Find the equation of tangent to the curve when x= 1. Express…

A: Given information:- A curve has equation y = 3x2 - √x. Find the equation of tangent to the curve…

Q: 1. (Consider the curve described by the equation xy – y³ = 6 shown below. a. Verify that the point…

A: Given graph of xy-y3=6     (1)

Q: Consider the following curve. x - 1 y = x + 1 Find y'(x). y'(x) = Find equations of the tangent…

A: solution: the objective is to find the equations of tangent lines

Q: The curve x = 1 - 3t2, y = t - 3t2. If tangent at point (1 - 3t2, t - 3t2) inclined at an angle θ to…

A: Given, x=1-3t2    ....(i)y=t-3t2    .....(ii)Now diffrentiate equation (i) and (ii) with respect to…

Q: Q2:Is the point lies on the curve? x² cos y – sin y = 0, (0, 7) if so, find the equations of lines…

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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: The curve -4x – 3y³ – 7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw…

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Q: 3. (a) Use implicit differentiation to find an implicit formula for the slope of a line tangent to…

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Q: (x2 + x 2) + 3 at the point (1, 3) 18. Show that the tangent to the curve y = is also the tangent to…

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Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

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Q: Let y = 1+ eX (a) Find an equation of the tangent line to the curve y at the point (0, 3). (b)…

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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: 2.4 Can you show me the steps to solve the problem? Directions: Find an equation of the tangent line…

A: Given that, y = cosx-sinx at (π,-1).Consider (π,-1) as (x1,y1)Slope of the tangent line is,

Q: (a) Find an equation of the tangent to the curve y = ex that is parallel to the line x – 4y = 1.(b)…

A: A straight line passing through the point has an equation where m is the slope of the line.…

Q: (a) If G(x) = x² – 3x + 3, find G'(a) and use it to find equations of the tangent lines to the curve…

A: For (a), We are given G(x) = x2-3x+3. We need to find G’(a) and the tangent lines to the curve y =…

Q: For the equation given below, evaluate y at the point (1, 2). ev + 10 – e² = 2x² + 2y². y at (1, 2)…

A: "Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Q2\Find the point at which the tangent to the curve y = v4x² + 1 – 2 a)find the equation to the…

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Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b)…

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Q: 2(x² + y? )° = 25(x² – y}) at the point (3, 1). When the equation of this tangent line is written in…

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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: 1 The curve y = is called a witch of Maria Agnesi. 1 + x2 (a) Find an equation of the tangent line…

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 – 3x + 2, (3, 20)

A: Given:       To determine the equation of tangent line to the curve y= x3-3x+2 at the point (3,20).

Q: find the equations of the tangent lines at the point where the curve crosses itself. x  =  t3 − 7t…

A: Given data:   The given value of x is x=t3-7t. The given value of y is y=t2.   Suppose the curve…

Q: 2. Consider the curve in the plane whose equation is 2x2 + 2xy + y = 2. (a) Find the x-intercepts of…

A: X intercept is the point where curve touches the x axis. So to find x intercept put y=0 in the…

Q: Find equations of the tangent lines to the curve 1 х У that are parallel to the line x - 2y 4 1…

A: The curve is given by,

Q: a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the…

A: Given       y2 = x3+3x2 DIfferentiate both the sides:→   ddx(y2) =ddx(x3+3x2)   2ydydx   =3x2+6x…

Q: Q4: V2r²+1 1.Find the tangent of the curve y = at the point (2,2)

A: Given: y=2x2+1x at the point 2,2

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: CONSIDER THE CURVE x² + y² = 25 a. FIND THE EQUATIONS OF THE TANGENT LINES AT THE POINTS (5, 0) AND…

A: x2+y2=25 Differentiating with respect to x, we get ⇒2x+2y·dydx=0⇒2y·dydx=-2x⇒dydx=-xy a). Slope of…

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

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Q: pumt (0 ). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y…

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