S is the cone x?+ y² + z? = 0. Parameterize S, find dS , and ds.

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: Find fx and fy, and evaluate at the given point.

A: Given fx,y=tan-1yx. To find fx and fy at point (2,-2). Solution: Partial derivative of a…

Q: Determine the y.coordinate of ater a diation with a scale tactor of 1.5 centered at the origin O00

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Q: Find the distance traveled by a particle with position (x,y) as t varies in the given time interval?…

A: Given are the function and the interval as follows:

Q: A dilation has center at the origin. Which of the following is the image of the point P (?, –) for a…

A: for dialation of factor 1/7 multiply coordinates with 1/7

Q: If y = tan u, u = v - and v = In x, what is the value of y at x = e? dx sec? e 1 O Option 4 O Option…

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Q: Let C be the curve given by r(t) = (t cost,t sin t,t).(a) Show that C lies on the cone x 2 + y2 = z2

A: Consider the parametric equation of the curve C : rt=tcos t,t sin t, t. To show C lies on cone…

Q: Find the points on the cone z = x+y' that are closest to the point (-2,3,0) 22

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Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: ds Q. Find Jc 2 + y² + z?" where C is the helix x = a cos t, y = a sin t, z = bt, 0 <t < 1.

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 3sy54

A: Given:y=x3  ,     3≤y≤4Surface area :S=∫ba2πx 1+dxdy2   dy

Q: d'y Consider the curve y = ry+ 1, What is the value of at (0, 1)? dz

A: Given curvey2=xy+1

Q: Evalwate f, the inaicated point. (Y.y) and Fy y,y) CY.y) at 3. at (l,3)

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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: What is the length of the curve x = cos t + t sin t, y = sin t – t cos t, (0 < t < 2x) ? Lütfen…

A: First I have written the Arclength formula for the parametric curve , then using that formula and…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 -…

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Q: Find the coordinates of the point(s) on the curve y = Va + 3 that are closest to the point (8, 0).…

A: Given problem:- Find the coordinates of the point(s) on the curve y = √(x + 3) that are closest to…

Q: A. GIVEN: Sis the midpoint of RT, SW = SP, RSW TSP. PROVE: ATSWASRP.

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Q: 4. Given YZ tangent to oJ at point Y and m<WYZ = 104, %3D what is the measure of WXY?

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Q: dx Evaluate LJv by using Trapezoidal rule (up to three 1 + x? decimal places). [Ch-4(B), Expl-2]

A: We have to evaluate ∫01 dx1+x2 by using Trapezoidal rule.

Q: 4. Find the length of the arc C = {(x, y): y = V16 – x²?,0 < x < 3}.

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Q: Find the points on the cone z = x +y? that are closest to the point (3,-2,0)

A: Solve the following

Q: + y² – z dS where S is the part of the cone z? = r? +

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Q: Let S CR³ be the portion of the graph of the cone z2 = x² + y? which satisfies 0 s z < 1. Using…

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Q: Find the length of the curve The cardioid r = 1 + cos u

A: Solution:Given             r=1+cos uFormula:l=∫θ1θ2r2+drdθ2dθ

Q: What r and h gives the cone with the largest amount of waffle material? Tp²h 3 Let S = surface area.…

A: There are multiple question , as per company policy kindly ask other question separately. Given

Q: Find the points on the cone z2 = x² + y² nearest the point P(6,8,0).

A: Here, we need to find the points on the cone z2=x2+y2 nearest the point P(6,8,0).

Q: Find the lengths of the curves The cardioid r = 1 + cos θ

A: Given:r=1+cosθl=∫r2+drdθ2 dθ

Q: We have e+y dA = n(e-2) where B is the interior of t radius 2 and centered at the origin. Select…

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Q: 2 Find the points on the cone z = x´ + y´ that are closest to the point (2,-3,0)

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Q: Describe all absolute extreme points of P. (g,h) rc (c,d) pur ess (m,n) OD. ions

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Q: Eхample : Evaluate the triangle fxy dy - y? dx around the square cat from the first quadrant by the…

A: Given problem is :

Q: Find the points on the cone z^2=x^2+y^2 closest to the point (4, 2, 0).

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Q: y = x, y = vx; about x = 3

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Q: 4) By Diskuethod Detremin the volup Hiw Dx=1 and lnes y=1 aboat x=0 2) fex) = x? and line y:1 in the…

A: Given

Q: = x² + y² that are Find the points on the cone z? closest to the point (1,-1,0)

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Q: 16. Ris the circle sector bounded by x + y = 25 in the first quadrant; 6(x, y) = (vx² + y² + 1)kg/m²…

A: Introduction: The formula of the mass of the lamina with density function δ(x,y) on the region R is…

Q: 2. A CIRCLE IS TANGENT TO THE CINCLES x7 y? = 4 x*+ y? = 12Y+ 64 2 F IND THE LOcuS OF IT3 CENTEN AND…

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Q: find the Cerrvature of the Curve x:(0,1|R? defined by x(t)=14Cost, 1sint,o), where %3D is coostant 2

A: α(t)=(1rcost ,1rsint ,0)r is constantTo find the curvature of the given curve

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: Find the arc length of the curve x = (y? + 2)3/2 from y=0 to y=1

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: l, arctan( y/x) dA, where R = {(x, y) |1<x° + y° < 4, 0 < y< x} %3D

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Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this.

Q: Find the length of one arch of the cycloid x = 9(t – sin(t), y = 9(1 – cos(t)).

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Q: Find the points on the cone z? = z? + y² that are closest to the point (-2, 5, 0). Please show your…

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Q: (c) Evaluate . 2y2 + 4z2 ds, where o is the first octant portion of a cone z = /x? + y? with height…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 2 < y<…

A: Given: The given curve is, y=x3=x1/3,  2≤x≤4   To determine: The area of the resulting surface.…

Q: Approximate the value of =dx, using two and three points Gauss Quadrature Vx+ A

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Q: The domain of ƒ(x, y) = In xy is points .(x, y) in the first quadrant

A: We have to tell about given statement.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.