Determine whether the following statements is true or false, and explain why. In the trapezoidal rule, the number of subintervals must be even.

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: Here given curve  by2=x+a2

Q: Find the mZR in trapezoid PQRS where SP||RQ below. S 65° ? R Answer: mR Submit Answer

A: The given PQRS is a trapezoid with SP parallel to RQ. The given angle is m<S=65° We have to find…

Q: Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

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Q: show that the square of the length of subtangent at any point on the curve by2=(x+a)3(b is not equal…

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Q: Use these 3 methods to approximate , ex dx, n = 8 a. Trapezoid Rule b. Midpoint Rule c. Simpson's…

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Q: Define the moment-ratios ß1 and B2.

A: To define the moment-ratios.

Q: Use Picard's theorem, find the largest interval for which the IVP y y(0) = 1, %3D %3D x² +x – 6' has…

A: Given that, y''=yx2+x-6,y(0)=1 Let F(x,y,y')=yx2+x-6 Then, ∂f∂y=1x2+x-6 Since,…

Q: Find the greatest and smallest values that the function f(x, y) = 4x+5y takes on the circle x2 + y?…

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Q: Find the Center and radius ofthe cirde. h+h+x+ X %3D /2

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Q: A car leaves Smogtown at noon, heading west at a speed of 60 km/h. Another car heads south at a…

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Q: Use the Trapezoidal Rule with n=6 to approximate π∫0sin2xdx.

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 8x – 6y on the circle…

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Q: Find the extremum of f(x,y) = 9x2y² +4y² + 4x². %3D Answer:

A: Topic= Derivative the extremum is 0.

Q: For what minimum integer value of a, will the line ax+(a+1) y =18 www (a> 0) have two intersection…

A: If the line cuts the circle at two points then given line is secant line of the circle .The…

Q: View the attatchments and then explain the following - Find the skewness and kurtosis of commuting…

A: Given data of commuting times Using this data we can use excel functions =Skew() to find skewness…

Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

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Q: Determine the convexity/concavity property of the following: (ii) f (x, y) = 2x² – y?

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Q: Use this formula to find the curvature. y = 3x4 к(x) %3 K(x)

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Q: 16)- Consider the quadrature formula 6 | f(x)dx = Af (-6) + Bf(6) -6 If the degree of precession is…

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Q: Find the Felative Maximum vasve of Fx,x) = x*- y, Subuicct to the Construint X-Y=24.

A: The given function is as follows. fx,y=x2-7y2 the given constraint is as follows. x-y=24y=x-24 The…

Q: Apply the midpoint and trapezoid rules to the following intergal. Make a table showing the…

A: Consider the provided question,

Q: Jose wants to explore the angles so he tried to push himself over the limit, he wants to answer the…

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Q: Find the mZR in trapezoid QRST where QT||RS below.

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Q: What is the radius of X x² + y² – 6x = -4y + 68? Show all work for full credit.

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Q: The total surface area of a cone with radius x and slant height 3x is equal to the area of a circle…

A: Solution:-The total surface Area of cone=πrl+πr2    radius=x    slant height=3x⇒πr3x+πr2…

Q: ABCD is a trapezoid with midsegment EF. Find the value of x.

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Q: ABCD is an isosceles trepezoid with midsegment MN. MZBAD = 65° Find the following.

A: Given ABCD is a traperoid, with, AB = 22, CD = 14

Q: Given the following trapezoid, determine the value of y. 4x 1 - 60 6х + 11 у -1 93 0.95 O 80 O 90

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Q: Determine whether each of the following statements is true or false, and explain why.:In the…

A: In trapezoidal rule, the length of the subinterval is obtained using the formula ∆x=b-an where n is…

Q: The formula for the surface area of a cone works for both right and oblique cones. O True O False

A: The given statement is not true.

Q: Use this formula to find the curvature. y = 3x4 K(x) =

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Q: Is the given statement true or false? Justify your answer. 'The Midpoint Rule is always more…

A: The Midpoint rule is always more accurate then the trapezoid rule.You can always cook up example…

Q: Is the given statement true or false? Justify your answer. "The Midpoint Rule is always more…

A: Given that statement is  The Midpoint rule is always more accurate than the Trapezoid rule. For…

Q: Considering four subintervals, the value of So da by trapezoidal rule 1+1 is: Select one: a. 0.6870…

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Q: Evaluate f.y ds where C is the upper half of circle x? +y² = 9, traversed in the counterclockwise…

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Q: A randon veniable is uaiform ly distabutzd over whit is its skew ? t's

A: The pdf of uniform distribution is as follows:

Q: 2. Find the area of the rhombus. dl = (6x + 4) cm d2 = (10x + 10) cm a. (200x³) cm² b. (30x? +50x +…

A: There is given a rhombus which diagonals are (6x+4) cm and (10x+10). We have to find the area of…

Q: Is the given statement true or false? Justify your answer.   'The Midpoint Rule is always more…

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Q: A. Find r and 0 so that the perimeter is smallest when (a

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Q: Find the extremum of f(x,y) = 5x²y² +4y² + 6x². %3D Answer:

A: The given function is f(x,y)=5x2y2+4y2+6x2 .......................... (1)

Q: Use the method of Lagrange multipliers to maximize 2x + 3y – 4 on the circle x² + y? = 13

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Q: Determine whether each of the following statements is true or false, and explain why Simpson’s rule…

A: Given statement is  Simpson’s rule usually gives a better approximation than the trapezoidal rule.

Q: A figure on d coordinate plane is dilated using the rule (x, y).

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Q: TWVU is a trapezoid with midsegment FG. Find the value of x.

A: The midsegment of a trapezoid is parallel to each of the parallel sides and its length is half the…

Q: F is the measure of ZDGH? 5.

A: Given ,  The diagonals of square DEFG intersect at point H We hace to the measure of ∠DGH

Q: find the functon r that satisfies the following conditions rt)=;rli) = į rli)= 67,6,3> %3D

A: Given r'(t)=&lt;3t², 6t⁵, 4t³&gt; which satisfies  r(1)=&lt;7, 6, 3&gt;

Q: For the following trapezoids, use the midsegment theorem to solve for 'x' 3. 10yd (2x+10)yd 24yd X =…

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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.