The radius of gyration of the area shown about the x axis is: Y 4 2. 3.

Q: The y of the area shown is ... R=l in 0.6in 1.6in

A: Area of the shown figure = area of semicircle - area of triangle   The area of a semicircle can be…

Q: Find the total surface area of this cone. Leave your answer in terms of r. 24in 10in

A: Total surface area of a cone =πr(r+h2+r2) where r is the radius of the base and h is the height of…

Q: A manufacturing firm wants to package its product in a cylindrical container 1 ft. high with surface…

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Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse: X^2 /9 +y^2…

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Q: Find the area bounded by the indicated curves. x=2y2 – 1, x= y? +8 109 OA. 3 О В. 36 ОС. 24 O D. 27

A: We will sketch the graphs and find the points of intersection. Then we will mark the appropriate…

Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

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Q: Find the area enclosed by the curve 5y? Answer: 16x and y? = 8x – 24. sq. u.

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Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R %3D 3

A: To find → volume of liquid needed to fill a sphere of radiusR to height h=R3

Q: Find the surface area of the figure when d = 4 cm. For calculations involving x, give both the exact…

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Q: Find the area enclosed by the curve 5y? = 16x and y² = 8x – 24. Answer: sq. u.

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Find (a) the volume and (b) the surface area of the sphere. Use 3.14 as an approximation for z. 52…

A: Volume= 43πr3 Surface area=4πr2

Q: What is the Surface area of a prism equation? ¿Cuál es el área de la superficie de la ecuación de un…

A: Consider the height of the prism be 'h'. The area of the base is represented by "B". The perimeter…

Q: Find the surface area of the figure when d = 8 cm. For calculations involving r, give both the exact…

A: We have to find determine surface area of sphere

Q: y = sin(x), y = 5x, x = ?/2, x = ? Find the area of the region

A: consider the given functions, y=sinx and y=5x over the interval x=π2 to x=π draw the graph of the…

Q: Give formulas for the volume V and the surface area S of a cone whose height h is nine times its…

A: We have given, Y= (x-2)0.5 Y=0 Y=1 X=2   We know if the radius and height of a cone are r unit and h…

Q: The base of a solid is the circle x² + y? = 25. Find the volume of the solid given that the cross…

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Q: 3. Find the surface area of the object obtained by rotating y = 4 + 3x?, 1<x<2 about the y-axis.

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Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse:…

A: Consider the given ellipse  x225+y281=1 Here, the objective is to calculate the area enclosed by the…

Q: Given the area in the first quadrant bound by x^2= 8y m, the line x=3 and the x-axis. What is the…

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Q: nd the volume of the frustum of a cone of its height h, e lower base radius R, and the upper base…

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Q: Find the surface area of the solid below (nearest m2): 3.7 m 11 m2 66 m2 51 m2 82 m2

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Q: Estimate the area under the graph in the figure by using(a) the Trapezoidal Rule, (b) the Midpoint…

A: Given

Q: ind the volume of the shaded region when revolved about the indicated axis. 21 * = V7+y 14

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Q: Find the area enclosed by the given curves. y = csc 2 x, y = cot 2 x, » 7, and x = 00

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Q: y² = x and y² = 2 − x

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Q: Find the area under one arch of the trochoid x=10θ−3sin(θ),y=10−3cos(θ). Area =

A: Given X and Y equations We have to differentiate the equations with respect to theta

Q: Find the area of the adjacent surface of a triangular prism whose base is a triangle with sides a =…

A: Area is the measure of space occupied by a flat surface. It is measured in terms of the number of…

Q: find the volume of the solid with the given base and cross sections. The base is the unit circle x2…

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Q: Find the volume of the cylinder in terms of r. 5 in. V= TTr?h 14 in. Not drawn to scale

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Q: 1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the area of the region enclosed by y = 3.25x and x = 7 – y?. 4 5 Use horizontal strips to find…

A: Given, The curves y = 3.25x  and x = 7-y2  We have to find the area of the enclosed region using…

Q: Find the Area of the hegion baudded by the ghaphs Of y=x3 and Y = 4x Using integtation Determine the…

A: Given:      y = x3       y = 4x

Q: Find the surface area of the figure when d = 4 cm. For calculations involving ?, give both the…

A: To find the total surface area of sphere of radius=4/2=2cm Since, diameter=4 and radius=d/2

Q: Find the total surface area of this cone. Leave your answer in terms of T. 15in 12in SA = [? ]T in?

A: We need to find the total surface area of the cone whose  Radius, r= 12 in  Slant height, l= 15 in…

Q: The area enclosed between the curves x? = 4y and y? = 4x is

A: To find: The area enclosed between the curves x2=4y and y2=4x. Given information: The curve are…

Q: Determine the volume V generated by revolving the quarter-circular area about the z-axis through an…

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Q: The volume of the the sphere in the * figure is 5 نقاط = Va? - xZ a a dx

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Q: The volume of the solid given by tl

A: Given,             z=8-3x2+y2            z=x2+y22-2

Q: What is the area of the shaded region? y = sin x TT ST 6

A: From the given region; So, The point of intersection between the curve and line is:…

Q: Find the area of the region that lies inside the cardioid r=1+sin(θ) and outside the circle r=1.

A: Here we will use the following formula for calculating the area of the region R bounded by above…

Q: are going to find the area of some trapezoids using the rule - x (side a + side b) x height h 6 mm…

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Q: Tind the area enclosed by Mhe given curve, Vse Wallis' Formula

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Q: Find the area enclosed by the lemniscate with equation r2 = 25cos(2theta).

A: Consider the given equation

Q: Find the area of the surface correct to four decimal places by expressing the area in terms of a si…

A: We have equation of surface is  z=e-x2+y2 Since we have to find area of the surface above the disk…

Q: Find the volume of liquid needed to fill a sphere of radius R to height R y V = 씨5

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Q: Calculate the surface area of the object obtained by rotating the following shaded area around…

A: Given the sketch of the shaded region Find the surface area of the object obtained by rotating the…

Q: Find the area enclosed by the given curves. y=x, y= 4x O A. 8 О В. 2 О с. 16 O D. 4

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Q: Find the surface area revolve about x-axis at y = x³ from 0 < x< 2 98TT Answer: -sq. units 81

A: The curve y=19x3 from 0≤x≤2 revolved about x-axis.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.