For the equation given below, evaluate y at the point (2, 1). Зау — 2х — 2 — 0. y at (2, 1) =

Q: The equation y' = (In y- In x+ 1) is ?

A: Given: Apply

Q: The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the…

A: given acceleration a(t)=6t-24

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sz(t) = - 2t2 ly(t)…

A: The objective is to to eliminate the parameter t to find a cartesian equation

Q: Find the equation of the line which is tangent to the granh of y .3r2 2r + 4 at tho

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: Carry out the following steps. a. Verify that the given point lies on the curve. b. Determine an…

A:

Q: given curve about the x-axis. 1. y = 7x, 0 < x <1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: (d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

A: We have x = 4sint,  and y = cost

Q: State the following curve in the form of a parameter equation a. y = 1-x², z = -2 b. y²-z²=9, x =4

A: a. According to question,Given equation,y = 1-x2 ,  z = -2

Q: Consider the relation between r and y defined by the equation r4/3+y4/3 = 10. Find the r-intercept…

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Q: Find the slope of the curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а.…

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Q: Determine the parameter equation of the following curve x2 + y2= 5

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Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: Find all values of r for which the function y = e^(rx) satisfies the equation y'' + 5y'-6y=0

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Q: Given the Curve x+xy +2y² = 6 %D Write equation for the line tangent to the curve an at the point…

A: Given,         The curve is x+xy+2y2=6 ; an equation for the line tangent to the curve at the…

Q: A curve is defined by the equation xy - 6+x?y = 0. (a) Verify that the curve passes through the…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

A:

Q: For the equation, xt+1=rxt(1-xt) for t=0,1,2,... Find the two fixed points. For which values are…

A: To find: The two fixed points, which values are the locally stable. Given: The equation is…

Q: b. x=Jy+9,x=0, y =1 through 360° about the y-axis.

A:

Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis. OA 1 y=…

A: Given set is equidistance from (3,10) and the x-axis

Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at…

A:

Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |…

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121…

Q: x+ y = 0 3x- 2y 10 ch of the following ordered pairs (x, y) ystem of equations above?

A: From the given data: x+y=0 3x-2y=10

Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: Match the equation with its graph. 2t r(t) = ti + In(t)j + k, 0.1 < t< 5 3

A:

Q: Given the equation below, find dy dr 39x² + 9x52y + y² = 49 d.x Now, find the equation of the…

A: topic - derivative and equation of tangent line

Q: Complete the following sentence: The equation of the tangent line to the curve y=2/x+1 at x= is…

A:

Q: Consider the following equations. x = sqrt(t) , y = 4 − t Eliminate the parameter to find a…

A: given equationx=ty=4-t

Q: For curve r = (t, t2,t-³) %3D Does this curve go through the point (-1, 1, -1)?

A: We have to find if the given curve passes through the point (-1,1,-1).

Q: . If xy + e' = e, find the value of y" at the point where x =

A:

Q: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

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Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: Eliminate the parameter to find a Cartesian equation of the curve for −2 ≤ y ≤ 4. x = t2 − 3,…

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Q: nd an equation that says that P = (x,y) is e %3D call any point on y-axis has the form (0, y

A: We will use distance formula

Q: For what values of a and b is (2, 2.5) is an inflection point of the curve x?y +ax +by = 0? What…

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Q: For a certain curve, y" = 6x – 8. Find its equation given that it passes through P(1, 0) with slope…

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Q: For the equation given below, evaluate y at the point (-1, 1). 4xy – 3x +1 = 0. | y at (-1, 1) = %3D

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Q: 1.) Given 4x?– y? = 36, find its tangent line equation that must be perpendicular to the line…

A: Given:- curve :- 4x2-y2=36 Line:- 5x-2y-4=0 To find:- Given 4x² - y² = 36, find its tangent line…

Q: X = y 3. Find the length of the curve from Cl, I) to (2,25)

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Q: Given a? – xy? = 4y, dy a) dx y2-2x 2(ry + 2) y? - 2x 2xy + 4 b) Write the equations of the tangent…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. 10)…

A: Proceed as shown below

Q: Given the curve y= x^3 - 4x + 1 . Find the equation of the line perpendicular to that curve at…

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Q: Given æ? – xy = 4y, dy a) dx y2- 2x 2(ry+2) - 2x 2xy + 4 b) Write the equations of the tangent lines…

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Q: If y2 + xy = 1, find y" at the point (0, -1) %3D

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Q: Given the position function, s(t)=÷r' -3r² +5, describe the motion of the particle at t= 2

A: Calculate the first and second derivative to get the velocity and acceleration of the particle…

Q: S. 3 z dz where C is straight line segment from i to -2 - 3i

A: We put z=x+iy And dz=dx+idy