Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6<t<6

Q: Find the condition that the line ax+by=1 may be a normal to the curve an-1y=xn

A: To find the condition of line ax + by = 1 which is normal to the curve a^(n-1) y = x^n

Q: Make the curve y=ax*+bx³+ cx²+ dx+e pass through the points (0,3) and (-2,7) and at (1,4) have a…

A:

Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: Find the orthogonal trajectories of the given family of curves: a. Circles through the origin with…

A:

Q: Find length of curve: y=3x^(3/2) from x=0 to x=4

A:

Q: 3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4…

A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: For a x² -curve with 17 degrees of freedom, find the x²-value that has area 0.05 to its right. Click…

A: Given that  Degree of freedom = df = 17  Critical value of χ² for right  Aera 0.05 to its right

Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

A:

Q: What are Bézier curves?

A: A curve is an infinitely large set of points. Each point has two neighbors except endpoints.

Q: Find the x Coordinate of the point on the graph of 4=x² where the to the Secant. Longent tine.…

A:

Q: Find the exact length of the curve. 글 cosh(2x), sxs8 y = 4 +

A: Given:

Q: Find the length of the curve y x² Inx 8 at (2 <x< 4)? -

A:

Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: Find the orthogonal trajectories for the family of curves. Use a graphing utility to graph several…

A: Given          5x2-4y2=C       Differentiate w.r.t to x       10x-8y dydx=0…

Q: What value of n should be used to guarantee that an estimate of is accurate to within 0.01 if we…

A: This is a problem of Numerical Analysis.

Q: 2) Find and sketch the circle of cur vature at the point on the curve y = x2 where the tangent line…

A: To find and sketch the circle of curvature at a point on the curve y=x2 , where the tangent line has…

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t=0 tot = 3.

A: A detailed solution is given below

Q: Find the orthogonal trajectories for the family of curves x2 − 2y2 = C . Use a graphing utility to…

A: Concept: Trigonometry is used in finding distance and angles, there are six trigonometric ratios…

Q: Find the exact length of the curve on the given interval. Show at least 3 steps to justify your…

A:

Q: Find the length of the curve. 33 x = 11t°, y =,, 0sts 3 33 t on 0stsv3 is The length of the curve x…

A: Ans: The length of the curve is 77

Q: What does it mean for two families of curves to be mutually orthogonal?

A: Two families of curve are said to be mutually orthogonal if they intersect at right angles. Angles…

Q: Set up the itegral that represents the length of the curve for 4=L x4 +L 4x2 for 12x< 2. Do Not…

A:

Q: Find the length of the curve y=lnx from x=1.5 to x=3.

A:

Q: Show that the normal line at any point on the circle x2+ y2 = r2  passes through the origin.

A: Consider the given equation of circle as x2+y2=r2

Q: ngent line to the curve y= In(x4 + 1) at x

A:

Q: y = -V16 – x², — х2, -4 < x < 0.

A:

Q: Find the equation of the normal line to the curve y=arccot1x at x=1.

A:

Q: What is the normal line to the curve 9x2 +4y2 = 36 at (0,3)? (А) у-2-0 B X+1=0 Cy-axis D X- axis

A: We need to find the normal equation of the at (0,3).

Q: For a x²-curve with 16 degrees of freedom, find the x²-value that has area 0.025 to its right. Click…

A: Given that  Degree of freedom =df =16 Probability =0.025

Q: Compute the point of intersection of the curve sinx and x-1 with the help of Bisection method. Ans.…

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

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Use Simpson's rule with 2n = 10 subintervals to approximate the length of the curve. y = 6cosx, -,…

A: Here we need to take h = b-a2n = π2--π210 = π10 y = 6cos(x)

Q: Find the interval on which the curve y = - -∞, 6 dt is concave upward. (Enter your answer using…

A: We have to find out

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: For a x²-curve with 20 degrees of freedom, find the x²-value that has area 0.95 to its right. Click…

A: Given that  Degree of freedom =df =20 Area =0.95

Q: Use Simpson's rule with 2n = 10 subintervals to approximate the length of the curve. y = 3cosx , -<x…

A:

Q: a) Calculate the length of the curve defined by x = -3 )on the interval 1 sys9.

A: (a) Given that, x = 13 y (y-3) on the interval 1 ≤ y ≤ 9   We have to calculate the length of the…

Q: . Use a linear approximation to approximate V143. (Be sure to show enough work so I can tell you're…

A:

Q: Find the cuaatune of the curve dlefied by 1I cost Sin whore is

A: In the given question we have to find the curvature of the curve r→(t)=1rcost,1rsint,0where r&gt;0…

Q: the length of the curve y = coshx 1<= x <=2 is sish (2) - sinh(1) Select one: True False

A:

Q: Show that the normal line at any point on the circle x2 + y2 = r2 passes through the origin

A: Assume that we have the circle of equation x2+y2=r2 and we want to get the normal equation at x0,y0.…

Q: Find the normal to the curve y = 1 - x2 at the point (3, -8).

A:

Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4

Q: (b) Use the equation of the best fitting curve from part (a) to predict the distance required to…

A: (a)  The curve in  figure 1 perfectly fits the the data set

Q: Find the length of the curve : y = + from x = 1 to x = 3 - 3 4x

A:

Q: 12)What is the slope at (1,2) for curve define by xy^2=4?

A:

Q: Find the exact length of the curve. X=1/3sqrt(y)(y-3), 9 less than or equal to Y less than or equal…

A:

Q: 3. The normal line to the curve y = f (x) = 2x² at a point in the first quadrant passes through the…

A: Question is solved.

Q: How many subdivisions should be used in the trapezoidal rule to approximate S with an error whose…

A: Trapezoidal rule is an integarl used to approximate the area under the curve by dividing the area…

Q: 1 Find the length of the curve ソ= 9 from x =1 to x=2. 28x7,

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.