Find the exact length of the curve: x = e' -t y = 4e/2 Osts4 O e2 +3 e2 +4 e*+3 4 e*+4 O None of these

Q: It is the tangent line at the point (2,4) to the curve x3 y3-9xy = 0 5y = 4x+5 5y = 12x+4 5y=4x+12…

A: Step 1:Given curve: x3+y3−9xy=0Point: (2,4)We have to find the equation of the tangent line at the…

Q: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: 2y + 4 = 0  at the point (1,1).

A:

Q: How many horizontal tangent lines does the curve parametrized by the equations z(t) =-4t-1,…

A: on doing derivative we get the 1

Q: Find the tangent line at (-1,3) to the curve y* – 2xy – 27 =0. ,3 |

A: Given- y4-2x2y3-27=0 To find- The equation of the tangent at the point -1,3 to the above curve.…

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

A:

Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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Q: ) y = -3 ln x + 3x

A:

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).

A: Equation of tangent at a point

Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

A:

Q: Consider the folloinwg curve: y = square root of -1+2x At what point on the given curve is the…

A: Consider the folloinwg curve: y = square root of( -1+2x) to find the point on the given curve is the…

Q: -4x Find all the values of x at which the curve y = xe has stationary points. %3D Give your answer…

A: The stationary point for a function y=f(x) is the value of the independent variable that is x,…

Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: Let exy - x3 = y5. Find Y. dy xp O yexy – 8x7 xexy - 5y4 8x7 xexy yeY -5y 5y4 xey - 5y 5y4 8x7 -…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

A:

Q: Find the slope of the curve x^3=(y-x^2)^2 at (1,2). If q-p=Inq+Inp, find dq/dp.

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Q: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

A: