Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

Q: 1) The design for a rubber bullet is shown below. What is the Center of Volume (X , ỹ, Z) for the…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Find the area bounded by the curve y=-x³ 16 (A) 8 square units B) 4 square units C) 16 square units…

A: Take the integral of the first curve minus the second curve.

Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

Q: Q/ Find the angle between two curves: 3 y = ==- x? , y = x? 2

A: The angle between the two curve is                                         tan θ =m1-m21+m1m2…

Q: The radius of a sphere decreases at a rate of 1 m/sec. The rate at which the surface area decreases…

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Q: H = (x – y)a, + (x² + zy)a, + 5yza, uate ſ, H · dl along the contour of Figure 3.28. 0.

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Q: Identify the given radius if the center lies at the origin. a. x2 + y2 = 144 b. x2 + y? = 2, 304 c.…

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Q: Find the areas of the shaded regions

A: The area of the shaded region of the left is:

Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: Find a parametrization for the curve described below. the line segment with endpoints (1, – 4) and…

A: Given:   Endpoint : ( 1 , -4) and ( -2 , -7)

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y? + z? = 14, (1,…

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Q: Find the acute angle between the planes x + y = 1 and y + z = 1.

A: The acute angle between the planes x + y = 1 andy + z = 1. Use the cosine definition of the dot…

Q: Determine the surface area generated by revolving the line segments about y-axis. 3m 4m 2m 1m 2m 2m…

A: Given , Line segment revolve around y-axis , we have to find surface area of formed shape .

Q: In 1 decimal place, find the surface area generated by rotating the first quadrant portion of the…

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Q: Find the area bounded by the curve y = 16 A 16 square units (B) 8 square units 10 square units 4…

A: Find the area bounded by the curve y= 1/16x3-3/4x2+3x and the line y= x .

Q: What are the coordinates of the image D(0.5, R)(1, 3) where R(–3, 5) is the center of dilation?

A: What are the coordinates of the image D(0.5, R)(1, 3) where R(–3, 5) is the center of dilation?

Q: Give an equation for the tangent plane to x2 + y + z? = 101 at the point (-2, 9, 4). = 0.

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Q: Q4\A: Find area of zone bounded by curves x = y? 2y = x-3 B: Find area of triangle whose vectors…

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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: B Fig 1 1 y = (3x)3 A I. Find the co-ordinates of A and B X II. Find the area enclosed by the curves…

A: Please see the below picture for detailed solution.

Q: B 130 27 cm Find the area of the sector formed by Z(ABC) cm2

A: Find the sector area

Q: 5. Find the total length of the curve r-4 (1-sin e) from 0-90° to 0-270° and also the total…

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Q: Identify the given radius if the center lies at the origin. a. x2 + y2 = 15, 129 b. x2 + y2 = 121 с.…

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Q: Find the length of the curve 24xy = y + 48, 2 < y < 4 Select one: 17 85/85-8 243 V5 80V10-13 13 27 O…

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96…

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Q: l, (2 Y - x ) dA,where R is the region of the first quadrant bounded by the circle x2 + y? = 4 and…

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Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

A: I am attaching image so that you understand each and every step.

Q: 5. Consider the shaded region shown in the figure that involves the curves of equations: (x – 1)? =…

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Q: a) Find the length of the given curve: x = (y³/3) + 1/(4y) from y = 1 to y = 3 %3D b) Find the area…

A: a) given curve isx=y33+14y from  y=1,  y=3 find the length the curve  b) f(y)=4-y2, x=0 find the…

Q: Draw the curve r2 = 2a? $20, a > 0 and calculate the area enclosed by this curve COS

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Q: Identify surface trace S in flat cut T. S: 182? + 9y? – 222 – 20 = 0 • T: z= 3

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

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Q: SS, xy dA {(r,0)|0 <r<1, | and the region in the first quadrant }

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Q: Find the equations of the normal line to the surface z 6z y at the point (1, -1,-6) t+ 6 Submit…

A: To find the equation of normal line to the surface at (1,-1,-6)

Q: WY is a midsegment of AUVX. If UV = s + 49 and WY = 4s, what is the %3D value of s? U Y W V

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Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

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Q: (3²+ 3a)dA, where D is the region in the 3rd quadrant between the circles 2² + y² = 1 and x² + y² =…

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Q: Find the area of the curve 5x2 + 5y2 +10x– 5y + 3=0. a. 4.02 sq. units       b. 2.04 sq. units c.…

A: Useful formula standard equation of circle is given by:- ( x - h)^2 + ( y - k)^2 = r^2 Where ( h, k)…

Q: Question 7 Find the area enclosed by the curves y=2x², y=2√x,x= — and x = 1 A 45/51 B) 59/76 49/96…

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Q: Sketch the regions enclosed by the given curves. y = Vx, y =, X = 16

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Q: Find the area of the curve y +x 1 a.) 1 sq.units b.) n sq.units c.), с.) sq. units d.) 7 sq. units 4

A: Area of the circle =πr²

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: Find parametric equations of the normal line to x2 the surface z = 4 + y? at the point (2, 3, 10)

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Q: Find the total areas of the shaded regions

A: Consider the given: Find the area:Area=∫aby2−y1 dtArea=∫−π3π312sec2t−−4sin2t…

Q: Find the area of the surface generated when the given curve is rotated about the x-axis. y = 8/x on…

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Q: E Find the tangent plane and the normal line to the surface x2 + y? - z2 = 18 at (3, 5, -4). %3D

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.