Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by drawing an assortment of level curves in the function's domain. f(x,y) = 9x² a. Choose the correct sketch of f(x,y) = 9x2 below. OA. OB.

Q: find the exact area of the surface by rotating the curve about the x-axis  Y=x^3  0<x<2

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Q: Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by…

A: Given, f(x,y)= 24x²+6y²

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 2 6. 1 + 2x…

A: The surface is obtained by rotating the curve about x-axis.y=x36+12x, 12≤x≤1

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = v5 – x, 3 <x…

A: Given:- y=√(5-x) , [3, 5] To find:- Area of surface rotating about x axis

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² -…

A: Above question is solved.

Q: Sketch a typical level surface for the function. 10) f(x, y, z) = /x2 –z %3D

A: sketch a typical level surface for the following 10) fx,y,z=x2-z it is known that level surface is…

Q: Find, to two decimal places, the areas of the surfaces generated byrevolving the curves about the…

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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 exact area of the surface obtained by rotating the curve about the x-axis. y=x3,…

A: If the curve y = f(x), a ≤ x ≤ b is revolved about the x-axis, then the area of the resulting…

Q: Q2: A. For the surface f derivative at (1,1 derivative and the line to the surface

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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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 exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 < x <…

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Q: Find the points at which the following surface has horizontal tangent planes: x² + 2y² + z2 – 2x –…

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Q: Describe the level surfaces for f (x, y, z) = y+10-√√x² + z² and sketch them for several (at least…

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Q: Display the values of the functions in two ways: (a) by sketching the surface z = ƒ(x, y) and (b) by…

A: Given function is: f(x,y)=4x2+9y2

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: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

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Q: a) Consider the surface f(x, y) = x-y+1. (i) Sketch the level curves of height C=0 and C=4 for the…

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Q: Let f(x) = V3x . Consider the portion of the curve where 0< y <2. Find the exact value of the…

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Q: Display the values of the function in two ways: (a) by sketching the surface z= f(x,y) and (b) by…

A: solve for graph

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y2,…

A: This question is based on finding equation of tangent plane.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = L, (1,4, 4) 10 10

A: Equation of the tangent plane to the surface z=f(x,y) is                    r→.n→ =a→.n→; where…

Q: Given a surface f(x,y) = -3x² + (-4)y“. Find the derivative in the direction of v = at the point…

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Q: Given a surface f(x,y) = -2x² + (5)y². Find the derivative in the direction of v = at the point (7,…

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

A: Solution:

Q: Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by…

A: Given data÷ F(x,y)= 8x2+8y2 Now , we have to draw z=8x2+8y2

Q: Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by…

A: Consider the equation of surface f(x,y)=4y2 or we can write z=4y2 now we can see z is independent of…

Q: Find an equation of the tangent plane to the surface at the given point. 6. f(x,y) = x² – 2xy + y²,…

A: fx, y=x2-2xy+y2,    1, 2, 1. Partially differentiating with respect to x, we get fxx,…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x³, 0 < x< 5

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Q: Justify why the level curves very close to the origin (0,0) for the function f(z, y) = (1-z)(1 – )…

A: As per the instruction, we will be solving the first question. For (1), We are given the function as…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x3 1 + 2x sxs1 2…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 1 1sxs1 2x'…

A: The given curve is  y=x36+12x

Q: Find the area of the surface generated when the curve f(x) = (2/3)x^(3/2) - (1/2)x^(1/2) ; [1,9] is…

A: Given:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y?,…

A:

Q: Display the values of the functions in two ways: (a) by sketching the surface z = ƒ(x, y) and (b) by…

A: Consider the given function f(x,y)=y2

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

A: To find the surface area generated when y=√(5x+3) is revolved around the x-axis on [0,5]

Q: Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by…

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Q: Sketch a typical level surface for the function f(x,y,z) = z - 2x2 – y?. Choose the correct answer…

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Q: Find the exact area of the surface obtained by rotatingthe curve about the x-axis. y =√(1+ 4x)  ,  1…

A: Find the exact area of the surface obtained by rotatingthe curve about the x-axis.

Q: Match the graph of the surface with one of the contour maps. f(x, y) = el=x*+y

A: Graph of given multivariable function is

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

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

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Q: Calculate the area of the surface generated when the curve, f(x) = x3/2 – on [1,2 ] is x'/2 revolved…

A: The surface area will be given by S=∫ab2πy1+dydx2dx

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V8 - x, 2 s…

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Q: 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: Create a contour map of the surface by using the level curves for the following e values. z = 4x² +…

A: Level curves are defined are those curves which are formed when two planes get intersected. Here…

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² - y² O O X x

A: Given that       f(x,y) = e1-x^2-y^2

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.