Find the area of the surface generated when the given curve is revolved about the given axis. y= 7x+2, for 0sxs 6; about the x-axis The surface area is square units. (Type an exact answer in terms of r.)

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 5x…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y3…

A: We know that area of surface generated by revolving the curve y=f(x) about x-axis from x=a to x=b is

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 1 1 for 3x…

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Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 3x…

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Q: Find the surface area generated by rotating the parabola arc y = x² about the x-axis from x = 0 to x…

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of 4 y2 = 4…

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Q: Find the Exact Area of the surface obtained Retating by the curve asout the X-axis 9x=18+g2 25Y56

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Q: 28. Find the surface area of the portion of the curve x² =4y from y =1 to y =2 when it is revolved…

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Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y-(3x)13,…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

A: This question is based on application of Integration.

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

A: The given curve is y2=9x2-a2 in the first quadrant. We need to find the surface area when the given…

Q: Find the surface area generated by rotating the semi-circle x = 49 – y² be- tween -7 <y < 7 about…

A: Calculate surface area: S=∫-772πx1+dxdy2dy   =∫-772π49-y21+ddy49-y22dy   =∫-772π49-y21+-y49-y22dy…

Q: Find the surface area generated by rotating the semi-circle x = (49 – y² be- dx dy tween -7 <y < 7…

A: Use the formula ddxxn=nxn-1 and differentiate the equation x=49-y2 with respect to y, to obtain…

Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 1< x < 4

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 for…

A: The given equation of the curve is y=x48+14x2, 1≤x≤2 The area of this curve by rotating the about…

Q: Find the area of the surface generated when the given curve is revolved about the given…

A: We know that,

Q: Find the area of the surface generated when the given curve is revolved about the x-axis.  y =(5x -…

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Q: Find the surface area generated by rotating the semi-circle x = 49 – y? be- tween -7 < y 7 about the…

A: Given, x=49-y2  between -7≤y≤7 dxdy=1249-y2-2y=-y49-y2 By the formula:  S=∫2πx1+dxdy2 Plug the…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= 2x,…

A: Given curve: y=2x, for 35≤x≤99

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: Introduction: The formula for the surface area of the curve y=f(x) from a to b , when the curve is…

Q: nd the area of the surface obtained by rotating the curve x = 3t2, y= 2t°, 0<t<5 about the y-axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y=x3 + for…

A: surface area of the curve is given by  S=2π∫abf(x) (f'(x))^2+1 dx

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y 10x…

A: Given:

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4/x,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis 극v2 + 2)3/2, 4…

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. = (y² - Iny), 1 ≤ y ≤…

A: surface area  about  y axis  bounded by  x=g(y)Area=∫ab 2π g(y)1+g'(y)2  dy

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x2 –…

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Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about…

A: Let's find.

Q: Find the area of the surface generated when the given curve is revolved about the given a xis,…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. 8) y = 3x -…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= 6x,…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to…

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 4t, y = 8t,…

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 5x…

A: The objective is to find the area of the surface generated when the given  curve is revolved about…

Q: Find the area of the surface obtained by rotating the given curve about the x-axis. Round your…

A: Consider the provided question, We have to find the surface area obtained by rotating the given…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + 5x, 1<…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

A: Consider the curve y=12-3x, 1⩽x⩽3. Surface area of solid when curve is rotated around x-axis is…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis.  y =…

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Q: Find the area of the surface generated by revolving the curve x = 9y +1; 0 < Y< 12 about the y-axis.…

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Q: EX- Find the area of the surface generated by rotating the 1 portion of the curve y= (x²+2)³ between…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 3x…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

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Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis.…

A: The curve isy=4x3 So, its derivative will be: dydx=12x2 As,  Sx=∫2πy dswhere ds=1+dydx2dx so,…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.