Find a curve y = ae* to the data : bx

Q: Determine the values of x where a curve y = x3 - 3x2 - 9x+ 12 has horizontal angent lines.

A: Given,         y=x3-3x2-9x+12

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

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Q: Find the length of the curve. x = 4, y = 3/2, 0 st 0st <9 242 61 2

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Q: use the grid and a straight edge to make a rough estimate of the slope of the curve (in y-units per…

A: Given Data The coordinates point at P1 is (0,0). The coordinates point at P2 is (1.1,2).   The…

Q: For what values of a and b is the line – 3x + y = b tangent to the curve y = ax³ when x = 5? a = =

A: Given: Equation of curve is, y=ax3 The line tangent to the curve is, -3x+y=b at x=5. The objective…

Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing t att-0. x =…

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Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing tat t-0. =…

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Q: Find T,N and k for the curve:

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Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: of the indicated portion of the curve. K.

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Q: Find the exact length of the curve. x = et – t, y = 4et/2, 0st < 5

A: Find the length of curve:

Q: Explain the steps required to find the length of a curve x = between y = c and y = d. g(y)

A: Given the curve x=g(y). We need to explain the steps required to find the length of a curve between…

Q: Find the length of the curve. x = 4t, y =- 3/2,0st s9 0 st 122 3

A: Arc length of the given curve

Q: Plot the following curves by using excel

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post other…

Q: Find the exact length of the curve. x = 1 + 9t2, y = 8 + 6t, 0 sts 4

A: Answer is mentioned below

Q: Find a curve y = ae to the data : bx 0. 4 y: 5.1 10 31.4

A: Given:         Data is given.

Q: / Fit a curve of the form y = ax + bx² to the data

A: Given,    x 1 2 3 4 5 y 1.8 5.1 8.9 14.1 19.8 To find             y=ax+bx2…

Q: Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

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Q: The vertical distance between the actual value of Y and the estimated value of Y is known as _____.

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Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: Use the guidelines of this section to sketch the curve.

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

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Q: Use the guidelines of this section to sketch the curve   y = x e -1/x

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: Find the length of the curve r = 02 from 0 = 0 to 0 = 14.

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Q: Evaluate ∫с (x+y^1/2) ds, curve is given by figure 2

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Q: Sketch a curve with the following properties. 0, for x> 12

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Q: Find a curve y= ae* to the data : bx 0. 2 4 y : 5.1 10 31.4

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Q: Find the exact length of the curve. 36y =(x+4). 5 5 x s 6, y 20

A: Given: 36y2=(x2-4)3,  5≤x≤6,  y≥0 Arc length of curve y=f(x) on [a, b] can be calculated by…

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0 sts 4

A: We find dx/dt and dy/dt

Q: What is the image of the horizontal line through the point in under e ?

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find the angle between the curve 2y = e – x/2 and y – axis

A: Given the curve 2y =e^(-x/2) and y-axis We have find angle between curve and y-axis

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: Find the y-intercept of the tangent line to the curve y =/x + 3 at the point (1, 2). (a) 5/4 (b) 7/4…

A: Given curve:

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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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: / Find the length of the curve y = (÷) (x²

A: Given,         y=13x2+232

Q: (h) Write the conditions for a curve y = f(x) to be concave upwards and downwards.

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Q: write equation for the normal Iine an to the circle with cr=3) at (x=J5)

A: Let the equation of circle                                          x2+y2=r2…

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 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: or the curve x²y²=9 at (1,3) find the equation of normal line

A: Given: x²y²=9

Q: Calculate y in degrees. (Image 21] (2x - sy (3x - 25) (Sx+ 45)

A: (3x-25) +(5x+45) =180 8x + 20 =180  8x = 160  x = 20

Q: Find the tangent and normal line to the curve

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Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem