Given the equation of a hyperbola, what are the x and y-intercepts? x-/9 - y/16 = 1 O x-int: 3, y-int: 4 O x-int: 0, y-int: 0 O none of these x-int: 9, y-int: 16

Q: Find the area of the surface x2 - 2 ln x + sqrt(15)y - z = 0 above the square R: 1<=x <= 2,…

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Q: find the center of mass of a thin plate of constant density d covering the given region. The region…

A: Given: y=2x2-4x and y=2x-x2 Graph:

Q: Find the centroid of the solid formed by revolving about ox the area bounded by y^2=2x and the line…

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Q: sketch the described regions of integration. 0 ≤ x ≤ 3, 0 ≤ y ≤ 2x

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Q: The line y = 2x and the parabola y = 16x intersect at x= 4. Find by a double integral, the area…

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Q: Find the area bounded by the parabolas x2+y-9=0 and x2-8y=0   (SOLVE BY USING INTEGRAL CALCULUS)

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Q: sketch the described regions of integration. 0≤y ≤ 8, 1/4 y≤ x ≤ y1/3

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Q: Set up an integral to find the area inside the ellipse . Show all steps to demonstrate the trig…

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Q: Upon the release of the new Pac-Man movie, Pac-Man: Integral Adventure II, Midway has decided to…

A: Solid generated by rotating a bounded region, we use the circular disc method to evaluation of…

Q: The area bounded by the parabolas (x − 2)^2 − 9py=0 and y^2=9p(x−2) is to be revolved around x = 2.…

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Q: Show that ∫0∞ e-x 2 dx = ∫10√(-ln y)  dy  by interpreting theintegrals as areas.

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Q: consider the equations: y=x2 and y = -x2 -x +6 1) Sketch both curves of the given equations on the…

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Q: Find the moment of inertia of the region between the parabola y=4-x^2 and the line y=1-2x from x=0…

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Q: Each integral represents the volume of a solid.Describe the solid.   ∫0π/42 π (π - x) (Cos x - Sinx)…

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Q: Find the volume of the solid formed when the area of the region bounded by the curves x2- 3y=8 and…

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Q: Sketch the region whose area is represented by the definite integral. dx y 12 12 10- 10 8. 6 6 10 2…

A: The definite integral can be used to evaluate area of region bounded by curves. If over an interval…

Q: Convert dzdydx /9-x-y Into an integral of cylindrical coordinates

A: Given∫03∫09-x2∫3--x2-y2x2+y2 dz dy dxTo convert it into polar coordinateswe know thatx=rcosθ,y=rsinθ…

Q: Find the moment of inertia about the​ x-axis of a thin plate bounded by the parabola x=2y-3y2 and…

A: Given that the equation of the parabola,x = 2y – 3y2and the equation of linex + 7y = 0

Q: The closed curve x²+y²-14x-14y+49=0 revolves about the line x=-3. Determine the volume generated.

A: Given the closed curve is x2+y2-14x-14y+49=0 and the line x=-3

Q: Find the center of mass and the moment of inertia about the​ y-axis for a thin rectangular plate cut…

A: Given that density = x + 2y + 4 and rectangular plate is bounded by the lines y =1 and x = 6

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: • This is a problem based on the applications of definite integral.  First we have to identify the…

Q: . The area bounded by the parabola y² + x - 2y = 1, the x-axis, and the line x = 2 revolves about…

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Q: 3: Find the volume of the solid generated by revolving the shaded region about the x-axis: and graph…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

Q: The area of the region bounded by the z-axis and the curve = ²t - 1, y = 1-t² equals to: [2(1-1²)e²…

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Q: Sketch the region enclosed by the curves and find its area. 1 ¤ = 0, y = 1, y= e³ x = - NOTE: Enter…

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Q: Find the moment of inertia with respect to the x-axis of the area bounded by the parabola y2 = 4 and…

A: Solution is given as below:

Q: 10. Find the centroid of the area bounded by the parabolas x 2y and x - 2x - 2y = -5, and y-axis

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Q: The volume of the solid generated by revolving the region bounded by the curve y = cos 2x, 0Sxs4…

A: (π^2)/8  cubic units

Q: find the center of mass of a thin plate of constantdensity d covering the given region The region…

A: Given :                 y = 2x2 - 4x  and y = 2x - x2    Graph :…

Q: Sketch the region of integration. "In 10 r10 1 dy dx In y

A: As y varies from y = ex to y = 10 , we see that x varies from x = 0 to x = ln 10

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2).…

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Q: sketch the described regions of integration. 0 ≤y ≤ 1, y ≤ x ≤ 2y

A: To sketch the regions of integration 0≤y≤1y≤x≤2y

Q: Set up an iterated triple integral equal to 3 3-x² x²+y² 3 2-√4-x²-y² using: Spherical coordinates…

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Q: 3. Find the surface area generated by rotating y=- bounded by y=0_ x=0 , and x=9 about the the…

A: Surface area generated by rotating a curve y = f(x) about the x-axis from x = a to x = b is given by…

Q: sketch the described regions of integration. 1 ≤x ≤ e2, 0≤ y ≤ ln x

A: Given  1 ≤x ≤e2 , 0≤ y ≤ ln x

Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the…

A: Given curve is y2=4x ,x=1

Q: For the pink region bounded by a parabola with vertex at (-1, 11 ) and the green line, solve for: a.…

A: The given equation of the parabola is y=-a(x-h)2+k, with vertex -1,11. ⇒y=-a(x+1)2+11 Given two…

Q: The line x=-3 of the region bounded by the 2x=4-y2 and 2x=y2-4 curves Calculate the volume of the…

A: We first sketch the region using a graphing calculator. 2x=4-y2 (red) 2x=y2-4 (blue) x=-3 (green)

Q: compute the surface area of revolution about the x-axis over the interval

A: The given function is

Q: A path AB in the form of one quarter of a circle of unit radius is shown in the figure. Integration…

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Q: +5y )dx+(2x-4y) dy edary of the region lying between

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Q: Find a center of mass of a thin plate of density δ=1 bounded by the lines y=x and x=0 and the…

A: Given that density is 1 and thin plate is bounded by the lines y = x, x = 0 and y = 30 – x2

Q: a) dz, T: z (t) = -e-int, 0<t <1. %3D -1 1

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (a) Find that the area of the plane region lying to the right of the parabola x = and to the left of…

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Q: 2

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Q: The area in the first quadrant, bounded by the curve y = 2x1/2, the y-axis and the line y – 6 = 0 is…

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Q: Find the volume of the solid formed when the area of the region bounded by the curves x²- 3y-5 and…

A: Solution

Q: Find the moment of inertia with respect to x-axis the area bounded by 2y2 - 8y - 16x + 16 = 0 and…

A: The solution are next step

Q: Sketch the region of integration corresponding to the integral 6x-x² 5(2² + y*)y dydx and compute…

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