18. Isosceles Trapezoid with Midsegment 24 5y-6 y = 131 9. 12 18 (5x-1)

Q: How to use the trapezoidal rule to approximate distance travel?(with a t of 1min)

A: The trapezoidal rule is used to estimate the area under a curve. The expression for the trapezoidal…

Q: 4/2 % for 0 sxsl. Find the length of the curve y+1=- 3

A: The equation is y+1=423x3/2.   Differentiate with respect to x.…

Q: Use Green's theorem to calculate §. -y² dx + xy dy where C is the vertex triangle (1,3), (4,0) and…

A: Consider the given integral. I=∮c-y2dx+xydy The green theorem is defined as, ∮cPdx+Qdy=∬R∂Q∂y−∂P∂x…

Q: Find the length of the curve 36y2 = (x — 4)3 , 2 ≤ y ≤ 3, y ≥ 0.

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Q: Find the length of the curve. 9) The spiral r = 202, 0 s 0 s 2^/3

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Q: The length of the latus rectum of the curve x² – 12y = 0 is -12 -3 Option Option 2 12| 3.

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Q: 5. Find the area and centroidal distances of the curve that lies between he equations y%3D4-x^2 and…

A: The region bounded by curves y=4-x2andy=x+2 To find the area and centroidal distances.

Q: Find the length of the curve y =/2 from z = 0 to z = 3. %3D

A: Integration of (1+(f'(x))2)1/2 form 0 to.3

Q: the trapezoidal rule with

A: In this question, the concept of the Trapezoidal rule is applied. Trapezoidal rule One of the key…

Q: 7. Find the length of the curve y = (* Vt3 -1 dt 1<t<4. 12.4

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Q: 1) The maximum distance from the origin of the xy plane to the circle described by (x – 12)? + (y –…

A: given equation of circlex-122+y-62=16 As per our guideline we supposed to answer only first question…

Q: What is the shortest distance from the surface xy + 15x + z2 = 204 to the origin? distance =

A:

Q: What can you say about the inflection points of a cubic curve y = ax3 + bx2 + cx + d, a ≠ 0? Give…

A: To find the point of inflection, we find the values of x for which the second derivative of the…

Q: 4. By revolving the semicircle x = cost, y = sint (0 <t< ) about the x-axis, show that the surface…

A: Equation of semicircle with radius r is x=rcost, y=rsint We know the formula for surface area for…

Q: Q2: A-The Trapezoidal rule for roodx 5 and Midpoint rule /)dx=4 What value does . Simpsons rule give…

A: 1st we will find relation between trapizoidal , mid point and simpson rule . Then will use this…

Q: Evaluate [. 2y² + 4z² ds, where o is the first octant portion of a cone z = x² + y2 with height of…

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Q: Evaluate A = Se-* dx þy trapezoidal rule with n= 10. Work for 6 digit

A: Mathematically the derivative of a function is defined as f'(x)=limh→0f(x+h)-f(x)h. According to the…

Q: Consider that the geometry of the arc for the billboard for the pool is following the hyperbolic…

A: As per bartleby guidelines, for more than one questions asked only one is to be answered,kindly…

Q: Solve for the length of radius AB of circle A when CD = 4 cm and BD = 8 cm and B is a point of…

A: Geometry Question

Q: From the result that you have obtained using the trapezoidal rule, it is worth it to buy the pills?…

A: Answer: No  Trapezoidal Rule: This is mostly used for evaluating the area under the curves and the…

Q: 4. Find the radius and center of curvature of the curve y=6x-x³ at the point (1,5).

A: This question is based on radius and centre of curvature formula.

Q: 10. If ZYXW is an isosceles trapezoid with WY = 15x-2 and XZ = 9x + 10, find x. X 1 partn Z Y

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Q: 1: is Simpson Rule method or Trapezoidal Rule method is accuracy 1- L,1-e dx,, 8 = 10-9, N = 12

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Q: 26. A cross section of the parabolic mirror in a car headlight is modeled by y = 12x. Where should…

A: Given that a cross section of the parabolic mirror in a car headlight is modeled by y2=12x. Clearly,…

Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y…

A: Solutions of both question are given below . May these help you.

Q: 5. plot x?-y?=z (Elliptic paraboloid) in 3D.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 10. Two corners of auxiliary rectangle at (-4,-7) and (0,0), vertical transverse axis

A: The diagram of the hyperbola having given conditions is shown below. Calculate the center of the…

Q: 2.5 What is the distance between two parallel hyperplanes {r E R" | a"x = b1} and {r E R" | a"x =…

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Q: Find the points on the surface y2 = 4 + xz that are closest to the origin. (Enter your answers from…

A: Consider the given surface equation y2=4+xz.  The distance d between the origin 0,0,0 and any point…

Q: The equation of a curved road is given as y = 100+6x–0.015x² +0.0000111? Determine the places where…

A: The equation of the curved road given is: y=100+6x-0.015x2+0.00001111x3 Measure of the "Sharpness of…

Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

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Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

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Q: The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО…

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Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: Examine y = 3x4 − 10x3 − 12x2 + 12x − 7 for concavity and points of inflection. Which of the…

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Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

A:

Q: 7. For trapezoid WXYZ, U and V are midpbints of the-legs. Find UV. W x +7 8x-3 6X +5

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Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

Q: Evaluate fc 2x ds, where consists of the arc of the parabola y= x2 from to followed by the vertical…

A: The given line integral is ∫C2xdS where C is the arc of the parabola y=x2 from (0,0) to (1,1) and…

Q: 9. In the ry-plane, a particle moves along the parabola y = x? – x with a constant speed of 2/10…

A: Given:-  In the xy-plane, a particle moves along the parabola y = r²r with a constant speed of 2√10…

Q: What is the shortest distance from the surface xy + 6x + z² = 48 to the origin? distance =|

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Q: Find the points on the cone 2 = r² + y? that are closest to the point (4, 2, 0). (Hint: You can…

A: Here we use the distance formula  D=(x2-x1)2+(y2-y1)2+(z2-z1)2 where D is the distance between the…

Q: The value of [xe*dx by using the three-segment trapezoidal rule is most nearly

A: by trapezoidal rule

Q: 6.2 Finl the Voune of the Selid enclosed by the curves y=eX, y=0 x=0,'= "about the x-axs.

A: Given: y=ex, y=0, x=0, x=1 From the given curves the bounded region is as shown below; Apply the…

Q: What is the shortest distance from the surface xy+3x+z^2=12 to the origin?

A: Let (x ,y, z) any point on surface. We have to minimize function f(x,y,z) = x2 + y2 + z2 under…

Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

A:

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x2 + y2 + z2 = 1 is T =…

A: We have given; The temperature T at any point (x, y, z) in space isT = 400xyz2and the unit spherex2…

Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

A: The plyboard has dimensions 3×5 ft2 So, the area of the board is 15 ft2 The area of the shape needed…

Q: OFind the aquahon of the Hangent to the at point Lircle X2 +8Xt PCI,3)

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

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.