Sketch the given curves together in the appropriate coordinate plane and label each curve with its equation. y= 3*, y = 4*, y= 2-*, y =

Q: sketch the given curves together in the appropriatecoordinate plane, and label each curve with its…

A: We make table for y=2-t   Then we make table for y=-2t

Q: Use the guidelines to sketch the curve  y = 2 x2  / ( x 2  -1 )

A: For, x=0, y=0  So, the y-intercept is 0   Then we plug y=0 and find x so, x-intercept is 0.

Q: Use the guidelines of this section to sketch the curve.   y = 2√ x    -x

A: We will make a table for the function  x 0 1 4 9 y 0 1 0 -3

Q: Determine the relative to the or two curves whos

A: Given,          x2+4x2-8x=0                    x2-8y=0

Q: Find the exact length of the curve = √(y - 3), 1 ≤ y ≤

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Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: sketch the given curves together in the appropriatecoordinate plane, and label each curve with its…

A: Draw graphs of y=ex and y=1ex

Q: Describe the curves.

A: The curve in the first figure gives zero output for negative input it is excited at once and there…

Q: sketch the curve ƒ(x, y) = c together with ∇ƒ and the tangent line at the given point. Then write an…

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Q: a. Circle of radius 1 and centers on the line y = x

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Q: Find the exact length of the curve.

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Q: Use the guidelines of curve sketching to sketch the curve y = 1-x2 %3D

A: Given: y=x1-x2

Q: Find the distance from the point Q to the line ℓ.

A: Given: Q=0, 1, 0, l with equation xyz=111+t-203.

Q: Find the equation of the line tangent to a circle with center at (3,2) and radius 5 at the point…

A: The center of the circle is:  (h, k) = (3, 2) Radius of the circle is:  r = 5 Now we have to find…

Q: sketch the curve ƒ(x, y) = c, together with ∇ƒand the tangent line at the given point. Then write an…

A: sketch the graph of x2-xy+y2=7

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: Find the exact length of the curve. 23/2, Osxs 6

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Q: find the equation of line tangent to the circle (x-1)2+(y-1)2=25 at the point (4,-3)

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Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Use the guidelines of this section to sketch the curve   y =2 x- tan x  ,  - pie/2<x <pie /2

A: Given: Differentiate the above expression and equate to zero to find the local minima and local…

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is perpendicular to the…

A: Given: The curve is y = 2x3 - 3x2 - 12x + 20 and the tangent line is perpendicular to the line y =…

Q: Find the exact length of the curve. 36y2 = (x² – 4)³, 4 < x < 9,

A:

Q: sketch the curve ƒ(x, y) = c together with ∇ƒ and the tangent line at the given point. Then write an…

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Q: Use the guidelines of this section to sketch the curve.   y= 3√(x2  -1)

A: We need to find the x intercept, y intercept, vertical asymptotes, horizontal asymptote etc to…

Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

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Q: Describe the condition for a curve to be rectifiable between two points.

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Q: Use the guidelines of this section to sketch the curve.   y = 1/ x2 -9

A: Let us plot a table with values of x and y. x y 0 -8 1 -8 -1 -10 2 8.75

Q: Use the guidelines of this section to sketch the curve.   y = x √(5- x)

A: We can not have negative number inside square root So, 5-x≥0 x≤5  Let us make a table of values x…

Q: Find all points (if any) of horizontal and vertical tangency to the portion of the curve shown.…

A: Given  x=cosΘ+ΘsinΘ Y=sinΘ-ΘcosΘ We will find the vertical and horizontal tangent

Q: sketch the curve r=1-3costheta

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Q: Sketch the curve with equation x2/3 + y2/3 = 4 and use symmetry to find its length.

A: Arc Length formula in the interval [a,b] is given by, L=∫ab1+dydx2 dx This is applied only when dydx…

Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

Q: determine the general form of equation of the line that is tangent to a unit circle at a point 30…

A: Given: An unit circle with center at origin and a point P on the circle at angle of 30° in the…

Q: Find the curve length 1 +2)?,0< y < 4 %3D 3

A: Given that, the function is x=13y2+232 and the interval is 0,4. Note that, the arc length of the…

Q: Sketch the curve with equation  x2/3 + y2/3 = 1  and use symmetry to find its length.

A:

Q: Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3).

A: Given that: The circle is tangent to both axes at (-3, 0) and (0, 3)

Q: ind an equation of the circle with centre C(3,-2) and tangent line y=5 .

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Q: Find the curve length 1 X = 3 0² + 2) ?',0 < y < 4

A: In this problem, curve length of the given curve is to be determined

Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: Use the guidelines of this section to sketch the curve   y = x e -x

A: Consider the given function as y=xe-x

Q: Does this curve go through the point (-1, 1, -1)?

A:

Q: Find the DE for the given family of curves. Sketch representative family of curves. - family of…

A: Consider the family of lines whose slope and y-intercept are equal. The equation of a straight line…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (-1,…

A: Given, x+22+y-32=37      ......1Point -1, 9

Q: Find the length of the curve. (Hint: u-s

A:

Q: Find the exact length of the curve. 23/2 12, 0 <x < 1 y =

A: Given : y=23x32,       0⩽x⩽1   To find : Curve length

Q: ' Sketch the curve y = In

A: We know that ln(x) and ex are inverse functions. So, the graphing will be like below which is…

Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-

A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of…

Q: (2) find the (x,y) coordinates of all points of intersection ot the curves.

A: b.(2) Given the polar equation of two cardioids r=1+sinθ,r=1-cosθ. To find the points of…

Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: sketch the given curves together in the appropriatecoordinate plane, and label each curve with its…

A: Giveny=3-t , y=-3t