13. The volume of a sphere with radius r 2 is given by * 8-2r dr a. b. f,2-x°dx none of the above

Q: 4. Find the area of a regular nonagon (9-gon) with apothem = 12 inches. Round your final answer to 2…

A:

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).

Q: 3) Show that the area of the shaded parabolic arch y = (x-a)(b-x)in the figure is equal to…

A:

Q: • 16. The area which is inside r r = 3-sino 5sin 0 and outside the limacon

A: According to rule of bartleby we can solve only the first question or three sub question of first…

Q: 3. Use the area formula derived from Green's theorem in order to compute y? the area of the ellipse…

A: Introduction: Green's theorem is a significant theorem in line integral. Suppose, the line integral…

Q: Find the areas of the regions . 1. Inside one loop of the lemniscate r^2 = 4 sin 2u 2. Inside the…

A:

Q: 6. Evaluate the integral fF ds, for F = (-y, x, z) and C is the circle a? + y? = 2,2 = 1.

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Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

A:

Q: 1) Find area inside the circle r= 4cuse and to the right of line r = sece %3D

A:

Q: Find the area of the specified region. 5) Inside the limacon r= 8 + 2 sin 0

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Q: The area of the surface formed by revolving the graph of x = /ỹ on [2,9] about the x-axis is given…

A:

Q: If R is the region boundeb by the square a|+|y = 1 then ffR(y-2)dA is equal

A:

Q: If Dis a simply connected, closed region in the plane and the boundary of Dis defined by the…

A: If D is a simply connected closed region in the plane and the boundary of D is defined by the…

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: 7. two circles with areas 2T cm2 and 200T cm2 uoluos ofra

A:

Q: Refer to the graph in Fig. 11. Draw the rectangles that approximate the area under the curve from 0…

A: According to mid point rule: The lower and upper limits are 0 and 8 respectively. Hence the each…

Q: 5. Find the volume of liquid needed to fill a sphere of radius R to height h (Figure 18). R h…

A:

Q: 11. Evaluate 2 dA, where D is the shaded part inside the semicircle of radius 2 in Figure 26. 2…

A: To Find:  D is the shaded part inside the semicircle of radius 2 From the figure, the restrictions…

Q: 9. What is the area of the region between the graphs of y=x2and y =-x from %3D x=0 to x= 1. A) 1 B)…

A: Topic = Area

Q: Find the area in the first quandrant bound by the parabola y

A:

Q: 6) Find the area of the region R that lies inside the circle r= 4(sin 0) and outside the cirele r –…

A: In this question we have to find Area of the Region that lies inside the circle.

Q: 13. The area which is inside the circle r = 10cos O and to the right of the line r = sec O:

A: 13. The given curves are r=10 cosθ and r=secθ To find: area of the region bounded by the given…

Q: What is the value of 322 + 7z +1 z +1 dz

A:

Q: 3. Evaluate ff Vr² + y²dA, where R is the region bounded by the circles with center R (0,0) and…

A: Given integral is: ∫∫Rx2+y2dA Where R is the region bounded by the circles with center 0,0 and…

Q: Consider the three identical circles of radius R in the figure below. Which of the following is tho…

A: Let's find.

Q: If the region R is bounded between two circles x² + y? = 1, x + = 4, then we have: ev+ dr do dA = +…

A:

Q: 5.Find the area Hhat is incide r=4 and autside rz 4-2sin &

A: To find the area that is inside the r=4 and outside r=4-2sinθ r=4 and r=4-2sinθ…

Q: 2 Green's theorem, evaluate ((+) dx + 3xy dy where C is the circle * +y = 4.

A:

Q: 7.Skelch Jhe resion encosed bethe guen Cuve. and find the area. X= 20 -5y%, X= 5y² 20

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Q: π If the area inside the cardioid r = 8 +8 cos 0 but outside the circle r = 5 cos 0 is A then what…

A: The area is:-

Q: For the qutegradsSEddy tringle Over the bounded by -0,4=0 and *+y=l-

A: We have to find the integral  ∬e2x+3y dx dy   over the region R bounded by curves: x=0, y=0, x+y=1

Q: 37. Find the maximum area of a rectangle circumscribed around a rectangle of sides L and terms of…

A:

Q: As shown in figure 5.111 to the right if the two small semicircle, each of radius 1 unit with…

A: For the given figure both small semi circles with center O' and O" are of the same radius, so their…

Q: 12. What is the area of the region enclosed by y = x² and y = x? b. d. e. None of the above -IN -IM…

A:

Q: 9-The uolome of Abe colar height y is hy VE xy. Soppose that the uolome a right cir cular cone af…

A: Given a right circular cone with radius x and height y. Then volume of the right circular cone…

Q: need help with 9.2.5

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Q: Find the area of the inner loop of the limacon given by r = 1+2sin 0.

A:

Q: Find the area that enclosed by the circle r-2sin 0 for 4 ≤ 0 ≤T/2 | (+-#) V=2sin o ty

A:

Q: Find the length of the entire perimeter of the region inside r = 6 sin 0 but outside r = 3.

A: Given the equation of the polar curve is, r=6sinθ Solving the equation r=6sinθ and r=3 for θ,…

Q: I| Name the mathe moticion aho is credidet sith Hhe cefine mand of the co When acopt of fundion.…

A: Peter Gustav Lejeune Dirichlet ( 1805-1859) was a German mathematician, a student of Gauss, was…

Q: Hiw, prove That, The areao f enclosed triangle in figure equa l 121" 2. Hol prove Theet, The area of…

A: Area of right angle triangle is 12·Base·Height . Concept of  Rotation in complex number : If we…

Q: 1. Find the area of the finite region enclosed by у%3D — (х + 1)(х — 3) аnd y %3 0 | -

A: Given: y = -x+1x-3,  y = 0 To find: The area of the finite region enclosed by  y = -x+1x-3, y = 0.

Q: i Apply Green's theorem to eve luate S [rex=y)dx +Cx+g)dy], where C is the bocundaug qxis aiad the…

A:

Q: 16.7. Use Green's Theorem to show that Area of D zdz.

A:

Q: Find the length of the entire perimeter of the region inside r = 6 sin 0 but outside r = 1.

A: Given that  r=6sintheta and r=1 To find the length of the entire perimeter of the region

Q: 1. Find the area of the regions shaded by the following curves: r = 2cos0 and r 2sine %3|

A: given polar equations are r=2cosθr=2sinθ

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.