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Finding Surface Area In Exercises 3-16, find the area of the surface given by
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Calculus (MindTap Course List)
- What dilation maps triangle ABC onto triangle A'B'C' below? B (x, y) → (2x, 2y) B. (x, y) → (0.5x, 0.5y) 24) C. (x, y) (3x, 3y) D. (x, y) → (-0.5x, -0.5y)arrow_forwardFind the area of the surface generated by revolving the curve y = / 2x - x , 0.75arrow_forwardFind the area of the surface given by z=f(x,y)=3+x3/2 over the region R, which is the rectangle with vertices (0,0),(0,4),(4,4),(4,0)arrow_forwardfind the area of the surface given by z = f(x, y) that lies above the region R f(x, y) = 9 − y2 R: triangle with vertices (−3, 3), (0, 0), (3, 3)arrow_forwardUsing Stoke's Theorem, evaluate c where C is any closed surface enclosing a square region of the xz plane bounded by the lines +5 F = 3zx²i + 4z²k x = ±3, z = " SF.dr wherearrow_forwardDescribe in words the region in R' represented by the equation x² + y² – 10y + z² + 2z = 0 O A plane. a sphere A space between two planes. A ball A cyllinder A point The exterior of a ballarrow_forwardCalculate the surface area of the z=x²+y surface on the triangular region with vertices (0,0), (1,0) and (0,2).arrow_forwardFind the area of the surfaces The portion of the plane y + z = 4 that lies above the region cutfrom the first quadrant of the xz-plane by the parabola x = 4 - z2arrow_forwardLocate the centroid y of the shaded area. A) x/2 B) 1/40 40 cm 40 C) (x^2)/20 (X^2: square of x) D) (x^2)/80 (x^2: square of x) 40 cm E) (x^2)/30 (x^2: square of x) 40 x'dx xp, Saỹ dA y = Sa dA 40 40 1 40 What is written instead of '?"arrow_forwardFind the surface area of the part of the sphere x² + y² + z² = 81 that lies above the cone z = Surface Area x² + y²arrow_forwardFind the areas of the regions enclosed by the lines and curves in Exercises 75–78. 75. x = 2y2, x = 0, and y = 3 76. x = y2 and x = y + 2 77. y2 - 4x = 4 and 4x - y = 16 78. x - y2 = 0 and x + 2y2 = 3arrow_forwardUse Ring Method Rotate the region bounded by y = x2 – 2x + 4 and y = x + 14 about the x - axis.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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