Find the distance D between each pair of points P and Q: (a) P = (-9, -2) and Q = (-0 , -3 ) D = (b) P = (V14, V7) and Q = (6/14, -V7) %3D D = Subm

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A: Given,          Z is the midpoint of VY¯ and X is the midpoint of WY¯ .           VW=s+47 and XZ=x…

Q: dy ) Find dr 1 if y = %3D 5z13 Answer:

A: Given,  y=1/(5x+3),  dy/dx at x=1

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Q: Find the length of the curve. 33 X = x=11t°, y= ², t,0stsv3

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Q: Points X and Y are respectively 12 m north and 5 m east of point Z. Calculate XY.

A: To solve this problem we use the Pythagorean theorem

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Q: TW is the midsegment of the trapezoid UVXY, If XY 20 and TW 30, what is UV? Y T. V. w/

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Q: Find the length of the curve. r(t) = ( 8t, t², ), 0 <t< 1 %3D 12

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Q: utwards from the point (0 nd S, the top half of the

A: Given, the vector field                        E(x, y, z)=x, y, z-3this vector field can be…

Q: Q3)A) Find the acute angle between the planes 2x+2y-z=3and x+2y+z=2

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Q: Find the lengthof the curve 」 9メ d S16 3_ %3D

A: Given curve is By fundamental theorem of calculus,

Q: The surface of a mountain is modeled by the equation h(x, y) = 7000 - 0.001x2 - 0.004y2. A mountain…

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Q: Find the coordinates of the missing endpoint given that P is the midpoint of NQ. N12, 0), P15, 2)

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Q: Find the length of the curve. x = 4t, y =- 3/2,0st s9 0 st 122 3

A: Arc length of the given curve

Q: dy dr (0,16). for the equation = 18in(v² – 255) Find at the point

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Q: Find the value of x if R is the midpoint of QS , QR = 5x – 7, and QS = 96. %3D %3D 8.

A: We have given R is the midpoint of QS.  We have to find the value of x

Q: use the trapezoidal rule to approximate use n=6 and h=1

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Q: / uousənd Solve for x and y in the parallelogram. (3x 4) (4y +'3) X =

A: Solution:- Given the parallelogram                            we need to find the value of x and…

Q: Find the length of the curve x = 1+ 312, y = 4 + 213, 0 <t < 1. Length =

A: Given,

Q: Q8 Find the shor testand. longes+ distance from the point (i,2, to the a+y+z=24

A: Given the equation of sphere  x2+y2+z2=24 We have to find the shortest and longest distance from the…

Q: Find the length of the curve, L. y = 16 (a + 3)", 0s s1. y> 0

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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: 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. x- 4t°, y= 6t, 0sts 3

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Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: Find the length of the curve. r(t) = 4ti + 8t3/2j + 9t2 k, 0st<1 %3D

A: Please see the answer below

Q: f d(x, y) denotes the distance between two points

A: answer is in next step

Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

Q: Q1: Find the distance between the given Points: (2v3, 4) & (-V3, 1). (a, b) & (0, 0).

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the length of the curve. 5 17) y = 3x3/2 from x = 0 to x =- 335 335 B) 162 335 A) 243 D) 1 3

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Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: R(t) = (cost, 2sint) T(T) %3D Find

A: This question can be solved using the concepts of vector and derivatives.

Q: 2. Find x, y, and z. 10 5. 3. To estimate the height of a radio to until his line of sight to the…

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Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: y = x², y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume pi(sqrty-y/2) %D…

A: According to the problem, we have

Q: Find the length of the curve, L. y² = 4 (x + 5)* , 0 0

A: To find the length of the given curve

Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 .

Q: Find the length of the curve. x = 4t, y =t3/2,0 st s9 122 242 3 3 O 3. seçenek 4. seçenek 61 61 3 2

A: Explanation of the answer is as follows

Q: Find the length of the curve, L. y² = 64 (x + 1)° , 0 0 L =

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Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10,…

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve…

Q: Find the length of the indicated portion of the trajectory. r(t) = (1+2t)i + (1+8t)j + (4 – 4t)k, –…

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Q: / Find the length of the curve y = (÷) (x²

A: Given,         y=13x2+232

Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.

Q: :Evaluate , V1 + x dx using Gauss-Quadrature formula (n=4).

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Q: What is the length of the -3< x S3 segment of the y = v36 – x2 www vwwb w e curve?

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Q: A manufacturer of open steel boxes has to make a box with a square base and a capacity of 1 kl. The…

A: