Find the anea of the vegion in quadrant Ps bou nodod ist 4 the conie the by the right by the line Sketch 'above e below CONE y=eln+/2) on As 21n2 2. the region.

Q: consider surface S with paramirization Glusv) = cu. Vo uv) ノ surface of s areu also compute the

A: Differentiate Gu,v=u,v,uv with respect to u and v, to find Gu and Gv, and then compute Gu×Gv.…

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the…

A:

Q: Region inside the circle(rz1)_and outsid the cardiaid (1- Cuso).

A:

Q: Region bounded by y = x* +2, y = x+4 rotated about the x-aKis 2.

A:

Q: Find the area bounded by the inner loop of the curve(limacon) r=2(1+2cos(theta)). Please make a…

A:

Q: By using double inpegrals, Find Ihe area the enclosed by of region b) cur ve x:- yo, Line e) curve…

A:

Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

A:

Q: A frustum of a cone is generated by revolving the graph of y = 2x on the interval [2, 8] about the…

A: GIVEN FRUSTUM cone generated by revolving  the graph of y=2x on interval [2,8] about x axis  we need…

Q: 2. Show that an equilateral triangle can be inscribed in the epitrochoid and that its centroid is on…

A: An equilateral triangle can be inscribed in the epitrochoid and that its centroid is onthe circle of…

Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

A:

Q: Find the area of the region enclosed by one loop of the curve r = 4 sin(7theta)

A: Loop:- A curving or doubling of a line so as to form a closed or partly open curve within itself…

Q: Consider the double integralf dydx. By converting to polar coordinates the limits of integration of…

A: Given double integral is  ∫-33∫09-x2 dy dx so the region of integration is bounded by  x=-3 , x=3 ,…

Q: Let R be the region bounded by y 8 sin 2 point (? 8)

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2, and the…

A: We have to find volume.

Q: The arc y=2 sqrt root(x) from x ∈ [4,16] is rotated about the x axis. Find the exact surface area…

A:

Q: triangle with vertices (-4, 1) (-2,1) (-3,2), rotated about x=1, set up the integral using the shell…

A: Given vertices of triangle are (-4,1) (-2,1) (-3,2) & axis of rotation is x=1 we have to find…

Q: Sketch the ve orite of Inctegration d equualent louble with the odev of initegraton. Inkegral with…

A:

Q: Two circles of radius 6, with centers at (-3, 0) and (3, 0), intersect as shown in the figure. Find…

A:

Q: please solve this question

A:

Q: Find the area of the region bounded by one loop of the curve y"(1 - у?)

A:

Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), -1/27 sxs 1/27 У 3 3 0.1…

A:

Q: 4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

A: Imagine the plot and rotate it about the axis specified and the resulting figure will lead to the…

Q: Calculate the area of the intersection of the regions limited by curves r = 1 and r = 2(1 − cosθ).

A:

Q: 2- Region enclosed by the cardiaid (r=\- Sin@)in 1-st quadrant.

A:

Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: Sketch the region enclosed by the given curves. y 10 y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤* 1.5 2.0…

A: We have to find graph and area of it.

Q: Determine the area of the right half of the cardioid formed by r = 8 +7 sin 0 16 14 12 10 8 6 4 -2…

A: The formula to find the area is, A=∫ab12r2dθ Since it is been asked to find the area of half of the…

Q: 1. The region in the first octant between two spheres centered at the origin; one of radius 2 and…

A: Given the density function and region

Q: 9-x²-y² is the upper √y half of the disc centered at origin with radius r = 3 The domain of f(x, y):…

A:

Q: Find the area bounded by the following:   A parabolic curve whose vertex is at P(1,4) and its latus…

A:

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 10, 0 < 0…

A:

Q: Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C, which is a…

A:

Q: Find the area of ​​region R bounded by y = 2x, y = 5x and y = 5 in the first quadrant  NOTE: The R…

A:

Q: A thin plate has mass 3. What is the x-moment of the plate if its center of mass has coordinates (2,…

A:

Q: Suppose that a thin metal plate of area A and constant density doccupies a region R in the xy-plane,…

A: A thin metal plate of area A and constant density δ occupies a region R in the xy-plane.

Q: Evaluate the line integral | (x + 3y + )ds, where Cis the line segment joining the origin with the…

A:

Q: A solid is obtained by rotating the shaded region about the specified line. about the line y = 5 y x…

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Sketch the region which is defined by the given condtions. 0 ≤ θ ≤ π, r ≤ 3

A:

Q: Find the area of the region bounded by the curve r^2 = 16cos theta. show full solution

A:

Q: The region is bounded by the graphs of the equations y sin x, y = 0, x=0, and x-A. For the…

A: See this solution in below

Q: 4. Region bounded by Y = x rotated about the y-axis ,x%30 and y=15,

A:

Q: The triangular region with corners (6,0), (7,0) and (7,3) is rotated about the line x = –1. The…

A: Given - A vertices of a triangle and volume of solid To find - constant k in the volume expression

Q: Sketch the region enclosed by the given curves. y = 7 cos(2x), y 7-7 cos(2x), 0 sxs x/2

A:

Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: The arc y=2 sqrt(x) from x∈[4,16] is rotated about the x axis. Find the exact surface area…

A:

Q: 1) The plane of 2 = x*+y² X+y+2 = 12 and %3D inter sect along d para boloid Find the curve. lowest…

A:

Q: Give arc-lengtu porametriz atian of the line which an Hhe tangent planes of and (1,2,9). is Hhe…

A:

Q: *Sketch all appropriate regions or solids." Evaluate the integral [[2y² cos(xy) dydx.

A:

Q: Find the area of the region Cut from the Ist auadrant /2 r= 4(2-Sin 20) by the curve

A: Solve for the area