Find the length of the currve. Vzti + e'j + e-tk, 0sts7

Q: Find the length of the spiral r=θ for 0≤θ≤4

A: Use the formula for the arc length then standard integral then simplify the result.

Q: 1. What is the length of segment XY?

A: Given,

Q: Solve the with indrial data uiçol=3r r,O) = 0 wave 7.

A: We have to find the solution of given wave equation

Q: Find the length of the arc formed by ² = 10y³ from point A to point B, where A = (0,0) and B = (100,…

A: We can find the length of arc by applying length of arc formula.

Q: long. A second circle of radius P is conces Vhat is the area of the shaded region?

A:

Q: What is the approximate length of RS with endpoints R(2,3) and S(4, –1)? A 1.4 units B 4.0 units 4.5…

A: Distance between two points can be calculated using below formula if there co-ordinates are known.…

Q: Find the length of one turn of the helix described by x=2cos(t), y=2sin(t), z=√(5)t

A:

Q: Circle O with diameter AB, DA and CB are tangent segment Prove: AD || CB

A: Circle O with diameter AB, DA and CB are tangent segment  Prove: AD || CB

Q: cerve X= Si▪ (Zt), y=Gs(±t), them dvaw the Culve

A: Given is the curve x=sint2, y=cost2 We need to eliminate t to find cartesian equation.

Q: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

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Q: Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4).

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: Find the length of the spiral r=

A:

Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:

Q: The perimeter of a circumscribed polygon was used to find an approximation for pi by the ancient…

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Q: Use the distanceformula 10 Find the distance between (2)and (-io) 6,5 口Y298 T5 D V1378 20 30 DVI30…

A: We need to evaluate the distance between the following two points x1,y1 = 25,15x2,y2 = -56,310

Q: AJKL is a right triangle So KL is perpendicular t Therefore, by Theore

A:

Q: 6. DF = 100 5x 10x-50 F

A: We have to determine the value of x

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

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Q: 5. Use the trapezium rule with 6 ordinates to estimate the value of da

A: Using Trapezoidal Rule We have to find Value of Given Integral using 6 ordinates.

Q: Find the length of the spiral r= 402, 0ses 21.

A:

Q: Find the area of the trangle formed by P.Q, R . PlI, 2, 3), Q(1,-1,-2), ana Rlo,0,0)

A: The area of the triangle formed by the vectors a→ and b→ is A=12×a→×b→. The given vertices of the…

Q: uppose that L is parallel to D. The distance between L and D is V90.

A: b=59 a=114

Q: 2) Find the length of the spiral: r = 0² from 0 = 0 to 0 = V5?

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Q: l find the are Length of the eurve- 3. from Y=1 to Y= 3

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Q: Find the area of a circle with a radius of 4 m two ways. First, find it using the formula for the…

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Q: 3 For what yalue of a is the vectos in te SPan of te Column voctos of the

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Q: Q is the midpoint of RU and S is the midpoint of RT. If QS = 41, what is TU? %3D TU = %3D

A:

Q: After thorough examination of the negrby area, you found that the dinosaurs traveled between 5.5 x…

A: Given range is between 5.5×106yards    and    7.2×106yards

Q: What is the radius of the given contour |z + 2i| = 8 + 7, 0 s 0 s 2n ?

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Q: Y 36 in 23 in W V U

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Q: Draw the curve and find the length in range [0,27]: r(t) = acosti + asentj + btk

A: Given: rt=acosti+asintj+bt

Q: normed spore) is contimous Segpeue HEX. d:x--X(when x is a nome -> i.e

A: Given that X is a normed space The given function is continuous. Now take a sequence xn. Assume that…

Q: Find the mibimal distance between the foint Cl,4) to the linz Yeメtl. dっしくーメュ+(-

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Q: In AHIJ, the measure of ZJ=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of…

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Q: area with of circle radius 7?

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Q: Find the distance between (0, 0) and (a, b)

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Q: 3. Find the radius of this circle. 5 4 3- -2 -8 -7 -6 -5 -4 -3 -2 -1 0 O 2/2 O 3v2 O 6V5 O v?

A: Option (d) ✓2 is correct.

Q: 5ofH Raclius 12sft B. \find Shorkest clistance A to B

A: In the question it is asked to calculate the shortest distance between points A and B.

Q: The shape of the top surface of a table is a trapezium. Find its area, if its parallel sides are 1 m…

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Q: A particle travels along a path from (0, 0) to (3, 4). What is the displacement? Can the distance…

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Q: Kis the midpoint of segment L. JK = 6x and KL = 3x +3. What is the length %3D of JL? * 12 18 36

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Q: Find the length of the latus rectum and the distonce between foci of the elipse 4x +9y? - 8x + 36y…

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Q: Find the length of the arc of the curve from point P to point Q. y = 1/2x2,  P (−7, 49/2),  Q (7,…

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Q: Find the length of the following three-dimensional curv r(t) = (9+5t,3-2t,-1+2t), for 1sts6

A: To find the length of the given three dimensional curve.

Q: 3. Ray OQ bisects ZNOP. Calculate the measure of ZNOQ if ZNOP = 96°. P N

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Q: stion 6.13 Velod ove, a particle has - al distance traveled

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Q: An article will be written on a 24 cm2 part of a paper. There will be space 1.5 cm from the bottom…

A: Solution: Let y be the length and x be the width of the paper. Then, the area is 24 cm square, that…