Find a parabolic curve to the following data. 1 3 4 5 y:1090 1220 1390 1625 1915

Q: The degree of the following curve may be 2 O a. None of these b. 1 O C. 3 d. 2

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Q: Identify and sketch the curve xy = 1.

A: xy=1. It is in the form of xy=c2. Therefore it is a rectangular hyperbola.

Q: Which of the following equations describes the curve thal best fits Uhe scatler plot? 6y-4y + 3x…

A: This question is related to parabola.

Q: 1- Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a)…

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Q: Sketch the following family of curves. 1. 3x + cy – 12 = 0 %3D

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Q: Find the exact length of the curve a 1+ 3t", y = 4+2t", 0 <ts1.

A: Exact answer is 2(2√2 -1)

Q: Find the length of the following two-dimensional curve. 3/2 (2t + 1) 2 r(t) = for 0sts4 3

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Q: Does the point (1, 1, 1) belong to the curve and if so, to which t does it correspond? Yes, t=-1 and…

A: The equationof the curve is r(t)=( t, t3, t6 ) , t≥0For t=1, So ( t, t3, t6 )=( 1,13 ,…

Q: Use the graph to answer the following questions? (see the graph as attahced )   Estimate the…

A: Consider the curve    y3−9y2+27y+5x2=47

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

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Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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

A: Given:         Data is given.

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

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Q: Find the length of the following two-dimensional curve. (2t + 1)3/2| E (2t + 1)3/2 r(t) = 2 for 0…

A: gF the curve defined by x=g(t), y=h(t)where c≤t≤d. Then the length of curve is given by definite…

Q: Find a parameterization for the curve shown in the figure below. -1.e -1 1,0 F(t) = where (Note: vou

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Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A: Let's find.

Q: O Find asv mPtotes of the Following curves then graph them? Y= X2 +V 2-X

A: Topic:- function

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: Use the graph to answer the following questions? (see the graph as attahced ) Estimate the point(s)…

A: We have given a graph of a function .  We have to estimate the point(s) where the graph has a…

Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

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Q: If a curve C is given by r(t) = ⟨t, t2⟩ , what is | r'(t) | ?

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Q: Which of the following curves pass through the point (1, 4)? c(t) = (t 2, 3 − t)

A: A point lies on a curve if it satisfies the equation of the curve. Substitution of the point into…

Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: Find a parabolic curve to the following data. x : 1 3 4 y:1090 1220 1390 1625 1915

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Q: Given these data 2 3 5 7 f(x) 3 19 99 291 Estimate f(2.5) and f(4), using cubic splines. Plot the…

A: Given data is x 1 2 3 5 7 f(x) 3 6 19 99 291…

Q: a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5     6…

A: For the given data, We have to fit second degree polynomial From equation of second degree…

Q: For what values of c does the curve have maximum and minimum points? F(x) = 2x + cx +10x Select the…

A: For curve has both maximum and minimum  f'(x) = 0 has both real zeros/roots.

Q: Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a) 3…

A: Given, The curve y =6x  and the point 15, 0  We have to find the shortest distance between the curve…

Q: 1 F(t) -1<t<1

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Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x 1+2nx b) y = =

A: Get  the asymptote of equation in a: y=limx→∞x2e-x   =0 Thus, plot the graph:

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

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Q: Jse the guidelines of this section to sketch the curve. y = x2 - 4 y y 5 X 5

A: Given that: y=xx2-4

Q: 5 6. -9 -4 6. -4 -6 -1 a x + nb

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Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed 30 40…

A: Parabolic curve fitting : Let the fit curve is y=a+bx+cx2. Then the normal equations are…

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: Which of the followings can represent the curve y=x? Choose all that apply. O O O 3t, 9t2>

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Q: Plot the curve c(t)=(2t−1,²+3). Then find the length of the curve for 1<t≤2 to two decimal places.

A: Curve is ploted and length of curve is obtained.

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

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Q: Evaluate (2 - xy) ds where C is the curve given below. -2 -1 -2

A: Given   ∫C2-xyds Curve C

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

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Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: Find the length of the following two-dimensional curve. R (2t + 1)3/2 r(t) =2 for 0sts2 3

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Q: et C be the curve y = 8/T for 2.4 < x < 3.7. 16 15 14 13 12 10

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Q: Please help

A: To determine the largest possible value of |r|.

Q: Which of the following is not true about the curve y x

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Q: Find the exact length of the curve. x = (2y + 1)3/2, 0<y<3

A: Differentiating with respect to y, we get

Q: Find a parameterization for the curve shown in the figure below. r(t) where = -1 140 <t<

A: This equation can be solved by applying the concept of equation of line joining two points in two…

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A:

Q: 24xy = y* + 48 dr y = 2 ke y = 4 а.

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Q: Find the exact length of the curve. y ‹ = ²(1 + x²j³/2₁ 3/2, 0≤x≤ 5

A: The objective of the question is determine the length of the given curve.