The area of the surface obtained by revolving the curve y = yx , for 1

Q: * = Vy +5,

A: We have to evaluate the area of the surface generated by revolving the curve  x=y+5 between the…

Q: (c) : Find the area of surface generated by revolving the curve about x- xis y = Vx - x3/2, 1< x <…

A: c) Given y=x-13x32, 1≤x≤3 y=f(x) is a continuous function in the interval [a,b] S=2π∫aby1+y'2dx…

Q: 2. The surface area of the surface generated by revolving the curve y = x, -1 < x<1, about the…

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Q: Find the smallest positive period of the following functions 1) cos(x) Ans. 27 2) sin(x) Ans. 2n

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Q: Find the sum of the x-intercept, y-intercept, and z-intercept of any tangent plane to the surface…

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Q: Q6|| Find the tangent plane and normal line of the surface x+y+z=1 at the point p(0,1,0).

A: Equation of tangent plane is Fx(x-x0) +Fy(y-y0) + Fz(z-z0) =0  F = f(x, y) =k

Q: 7. Consider the curve x = 3t + 4t3 + 100, y = 3t - t3, -2 <t< 2. dy What is dy when t = 1? dx (a)…

A: Let's find.

Q: Let C be the curve y = 4x³ for 0≤x≤ 1.2.

A: for

Q: . Find the area of the surface generated when the curve y = x* 1 + ,on [1,2] is rotated about the…

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Q: Let C be the curve y = 6x³ for 0 ≤ x ≤ 1.3. 13- 12- 11 10- 9- 8- 7- 6- 5- 4 3- 2- 0.5 a Find the…

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Q: +³ 3 y=a+t, √a ≤ t ≤ √a X || +at,

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Q: Find the area of the surface obtained by rotating the curve y = Vx on the interval [0,1] around the…

A: The equation of the curve is y = x3 = x13 To evaluate: The area obtained by rotating the curve on…

Q: (1) Find the area of the curved surface of the upper half of the sphere x2 + y² + z² = a²(a > 0) on…

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Q: Find the area of the surface obtained from rotating the curve y = x³, 0 ≤ x ≤ 1 about the x-axis. O…

A: Given, .Formula for surface area is,.