10. i) Sketch the region of given integral ii) Change integration order ii) Evaluate the integral dydr b) drdy 0 1 1 3r+2 c) fiprph || dydz

Q: Draw the region of integration and evaluate the following integral. x² SL 121y - y* dydx

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Q: Choose five other iterated integrals that are equal to the given iterated integral. x² f(x, y, z) dz…

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Q: 5xcos(y)dA, D is bounded by y=0, y=x2 ,x=9

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Q: 5) Use an iterated integral to find the area if the region. y y = 4– x2 3 2+ 1 3 4

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Q: 1) Use a double integral to find the area of the region enclosed by y= x² and y = 2x.

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Q: The area bounded by yN and 2y-3is revolved about the yais Using circular ring mechod, set up the…

A: Solution

Q: Consider the region E = {(r, y, 2):-2<I< 4.0 Sy< 3,0 << 4}. Compute the triple integral: !! (ry + 2…

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Q: In Exercises 31–50, sketch the region enclosed by the curves and compute its area as an integral…

A: Note: As per our company guidelines, we are supposed to answer only one question. Kindly post the…

Q: 2 Consider the region berween the grsph of fo and the line y-2on the interval (0. IL Use diwaher…

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Q: Draw the region of integration and evaluate the following integral. L II 12x*y- y* dydx -2-x2

A: Integration of integral

Q: Choose five other iterated integrals that are equal to the given iterated integral. f(x, y, z) dz dy…

A: Given iterated integral,

Q: 16. By inspection, a simply-connected and continuous region R A. has no holes and is closed. B. has…

A: Introduction: The application of connected regions is very significant in different fields of…

Q: Compute the double integral S, 2xy dA, where R is the region bounded by x = y² and y = x.

A: We are given that the region R is bounded by the curves x=y2 and y=x. So first, we need to find the…

Q: Set up, in either Cartesia over the region within the cylinder x² + y² evaluate the integral. 2م

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Q: Set up an integral representation of the area of the region bounded by: x=y2 ,x+y=2, y=0

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Q: 8. What domain D in space minimizes the value of the integral // (4x² + y^ + z2² – 4)dV

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Q: 1. Use integration to find the area of the given region R. R: y=1 – x; y = 0, y+ 2x = -2.

A: The given region is bounded by y=1-x,  y=0,   y+2x=-2. Sketch this region as show below.

Q: Evaluate the double integral 16 x²dA; R is the region bounded by y = = -,y = x, and x = 8

A: Solution : We have to evaluate the given double integral ∬x2dA and the region R is bounded by y =…

Q: Let D be the region bounded by the paraboloids z = (8 - x^2 - y^2) and z = (x^2 + y^2). Write six…

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Q: Flxyy) de dy is an integral orer what region?

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Q: In Exercises 15–22, graph the integrands and use known area formu- las to evaluate the integrals.…

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Q: Choose five other iterated integrals that are equal to the given iterated integral. '8 8 f(x, у, 2)…

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Q: The volume of the region bounded by x² + y² + z2 =1 is

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Q: Draw the region of integration and evaluate the following integral. IL 12x*y – y² dydx -2-x2

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Q: set up an integral representation of the area of the region bounded by y=x^2, y= x+6, and y=0

A: Integral representation

Q: Calculus 4

A: The given double integral is

Q: 2. Set up the integrals for the work required to pump the water in the drum shaped solid to the goal…

A: Work done= Force * distance                     =(force due to Weight)* distance

Q: "-Sketch. the.region.cfintegratizn.and..evaluabe. the fallowing.integrals.4. a..

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Q: Sketch the region R whose area is given by the iterated integral. * 64 – y² dx dy 60- 50- 40- 30- 20…

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Q: Evaluate the double integral Jl, x dx dy where the region R is bounded by: 3 y = 4x – 3, y =x +, y =…

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Q: 8. Find the volume generated when the plane area bounded by y=-x²-3x + 6 and x + y - 3 = 0 is…

A: Finding the volume generated by revolving along x and y axis

Q: Set up an integral representation of the area of the region bounded by: x=y2,x+y=2, y=0

A: It is given that,set up an integral representation of the area of the region bounded by: x=y2,x+y=2,…

Q: Sketch the region R whose area is given by the iterated integral. Ар хр 8 7- 5 4 5- 3 4 2 3. 2- 1 2…

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Q: Draw the region of integration and evaluate the following integral. || 12x²y- y² dydx -2-x2

A: Evaluate of integral

Q: 1/6 Find the volume of the solid obtained by rotating the region bounded by and リー2) about the line…

A: Now , we will find the  volume of the solid  obtained by rotating the region bounded by the given…

Q: 3. Reduce to a Calc A (single variable) integral: (x+ y)dA R where R is the first quadrant region…

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Q: Sketch the region of integration and evaluate the following integral. 1 SS= -dA, R={(r,0): 0sr≤3,≤0≤…

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Q: 1. Evaluate the double integral /xcos ydA, where D is bounded by y = 0, y =x, and x = 3, Answer:

A: Evaluate: ∫∫DxcosydA Where D bounded by y=0, y=x2 and x=3 When y=0, x=0

Q: Let C be a simple closed curve bounding a region Din R2. which of the following are equal to the…

A: Let C be a simple closed curve bounding the region D in R2.  So using Green's-Theorem,

Q: 2. Set up the integrals for the work required to pump the water in the drum shaped solid to the goal…

A: set up the integral for w9rk requireded to pump the water in the drum shaped solid to the goal line

Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x r SS S- zdz de dr

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Q: Choose the four correct steps (in order) involved in finding the value of integral M,av where the…

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Q: How do I do this one?

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Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y-y3, x…

A: Consider the graph:

Q: If, in an integral triple, we have a D region bounded by the surfaces z = 2x² - y² and z = 9 - 2x² +…

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Q: Apply Green's Theorem for a curvilinear integral 6 y²dx + x² dy in a region B bounded by the lines…

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Q: Use an iterated integral to find the area if the region. y (1, 3) (2, 3) 3 2 1 (1, 1) (2, 1) 1 2 3…

A: We have to find the area using the integration.

Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

A:

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.