Use Midpoint rule and Trapezoid rule as a pair to implement adaptive quadrature rule to approximate 4 dx o 1+x* with the tolerance of 10°. Show you resulting nodes on a real line.

Q: Find the distance between (1, 1/4, 1/2) and (1.5, 1/2, n).

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Q: Approximate  ∫21ex^2dx using the Trapazoidal Rule with n=5

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Q: Find the value of k so that the following curves y=(x^4)/k and y=-3x^3-2x^2 intersect at more than…

A: To find the value of k such that the curves y=kx4​ and y=−3x3−2x2 intersect at more than two points,…

Q: as the center of dilation. Point A(4, -9) is translated along the rule (x, y) - (x - 8. y+ 2). What…

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Q: Circle with center on x-axis (x−a)^2+y^2=r^2 with solution pls

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Q: A circle of radius √5 and centre at (4,q) passes through the point (2,-2). Find the values of q.

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Q: Find the distance from the point P(2,1) to the line y = x + 2 *

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

Q: all the a

A: The diagram is given in the problem is inscribed the quadrilateral in a circle . It is given that…

Q: Q3/ plot the points A (0, 1), B (3,2), C(2,1) and D(-3, 0) and determine wether or not ABCD is…

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Q: over the triangular region Cut from the * quadrant by the line x+y =1.

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Q: If the point (6, -1) is reflected over line y = 2 then dilated by 2, what would the new points be?

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Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: Find the length of the curve: - for 1< y<3. 3 4y 4. x=

A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: REDMI K20 PRO PREMIUM 26. Each graph below represents the velocity of an object with respect to…

A: Integrating velocity gives distance  Differentiating velocity gives acceleration

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

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Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: Need to find when the concave is down, up and the inflection points.…

A: We find the second derivative first.

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: Find the radivs of Conwergence for

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