Find the tangent equation of the curve x= 2sin(2t) , y=3sin(t)  at the point where the curve touch itself. Graph.

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).

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1).

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Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: y=x2-2x-3

Q: Find the equation of the tangent line to the curve y 42 cos z at the point (, The equation of this…

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Q: Find the equation of the tangent line to the curve y = at 1+7e What is the equation of the line…

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Q: Find the equation of the curve y = f(x) as shown in the figure with line tangent to curve at P(x ,…

A: The slope of the tangent at a point on a curve is equal to the derivative of the curve at that…

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

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

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

A: First find slope using y'Slope=48

Q: Find an equation of the tangent line to the graph of y =- 2x at the origin and at the point (1,1). x…

A: Given :                      f(x) = 2xx2 +1Differentiate using quotient rule :…

Q: Find the equation of the tangent line to the curve y=2tan(x) at the point (π/4,2). The equation of…

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

A: Given that, y=1x2

Q: The curve y = x /( 1+ x2 ) is called a serpentine. Findan equation of the tangent line to this…

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Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

Q: Find an equation of the tangent to the curve at the point (1, 81) I = e', y = (t– 9)2

A: Given: x=et,y=(t-9)2   at (1,81)

Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: Find the equation of the tangent line to the curve (piriform) y^2 =x^3(7-x) at the point (2,√40) a…

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Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: The equation of the tangent line to the curve y = x2 – 4x at the point where the curve crosses the…

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Q: find the equation of the tangent

A: Given: The curve x=t2+t and y=t2-t To find: The equation of tangent line at t=-1

Q: Find the equation of the tangent line to the curve y 3x cos x at the point (T, -37). || The equation…

A: Formula for finding the equation of a line having a slope of m and passing through the point (x1,y1)…

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

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Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Find the equation of the tangent line to the curve y = (1 + 2x)? at the point (4, 81). y =

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Q: Consider the curve y= x^2 +2x +5 (a) Find the slope of the secant line to curve through the points…

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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: Find an equation of the tangent to the curve at the given point. (1) X²+4xy-y²-4x=1, (1,2) (2)…

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Q: Find an equation of the tangent line to the curve 2(1 + )° = 25(x² – 7) (a lemniscate) at the point…

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

A: Tangent and normal line: At the point of tangency, the normal line is defined as the line that is…

Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (T, -27). The equation…

A: Using formula of equation of tangent.

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

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

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Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Find an equation of the tangent to the curve at the given point. x 3 , y = t2 3, (3, 4)

A: Given curve is

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point (, 4). 6

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Q: Find the equation of the tangent to the curve y=tan(x) at the point: (,-V3)

A: we have to find the following

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: Find the equation of the tangent line to the curve y = ex at 0, 1+8 ex What is the equation of the…

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Q: Find the equation of the tangent line to the curve y 6x cos r at the point (T, - 67). The equation…

A: As we know that, The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the…

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Q: Find the equation of the tangent to the curve y=2(e^x) at the point (0,2).

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

A: To determine the equation of tangent line.

Q: Find an equation for the tangent line to the parabola y x*at the point P(1, 1). %3D

A: Given,            The parabola is y=x2 and the point is P1,1.We know that,            The equation…

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

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Q: The equation of the tangent to the curve x2 = 4y at the point on the curve where x = −2

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Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =

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Q: 8x at the point (1,4). x +1 Find an equation for the tangent to the curve y =

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Q: p) Find the equation of the line tangent to the curve x² + y² = 25 at (3,4) %3D

A: