Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. y= sin ,x=0, y= 12 Set up the integral that gives the volume of the solid. |O dy (Type exact answers.)

Q: 4. Consider the following subspaces of P. H = Span{1+t, 1-t 3 } and G = Span{1+t+t 2, t – t 3, 1+t+t...

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Q: MATHE MATIes. QUESTION 1 loc the operator method find to grnenal solution the of the 3et x' + y'-4x ...

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Q: The vectors x1 = (2, -3, 1), x2 = (1, 4, -2), X3 =(-8, 12, –4), x4 = (1, 37, -17), and x3 = (-3, -5,...

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Q: Solve the following system of ordinary differential equations. 2dx/dt − 2dy/dt − 3x = e^(n+1)t2dx/dt...

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Q: Question 2

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Q: How do I do number 3?

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Q: Please see image

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Q: 1) Let R be the relation on Z+ such that (p, q) R(r, s) if and only if p- s = q ·r. That is, the pro...

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A: According to the given information, Consider a mapping:

Q: Can you please have all answers with 5 decimal places.

A: According to the given information, Consider the following definite integral.

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A: We’ll answer the first part of this question since due to complexity. Please submit the question aga...

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Q: Using Divergence Theorem, calculate the integral S   ∫∫ xy2dx + yz2dy + zx2dz where ...

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Q: 81. Let f(x, y) = уз y > 0 l-y², y<0. Find fx, fy, fxy, and fyr, and state the domain for each parti...

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Q: Find the cost of excavating a space 87 ft long, 45 ft wide, and 6 ft deep at a cost of $39/yd3

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Q: Exercise 19.4. Let V be the span of the nonzero 4-vectors Vi = 1 2 that are orthogonal (this could b...

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Q: the given differential equation has a particular solution yp of the form given. Determine the coeffi...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

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Q: Just part c of this question

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Q: 3) Show that 1-2+2-3+3-4+…+(n – 1) - n is O(n³). Also state the values for witnesses C and

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will ...

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Q: Find the series solution to 2xy'' – xy' + x (x + 1)y = 0 about x = 0.

A: We are given the differential equation, 2xy'' – xy' + x (x + 1)y = 0 =&gt; x(2y'' – y' + (x + 1)y)= ...

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Q: The idea of a large, stable middle class (defined as those with annual household incomes in 2010 bet...

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Q: Show that the differential equation [y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0 is exact.Hence solve it

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Q: Show that the substitution v D ln y transforms the differential equation dy/dx+P(x)y=Q(x)(y ln y)int...

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A: By Langrange’s interpolation formula, the given values are:        

Q: In Exercises 1-4, sketch the region of integration and evaluate the double integral. -10 1/y 1. yey ...

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Q: 16. Integrate f(x, y, z) = x + Vy – z² over the path from (0, 0, 0) to (1, 1, 1) (see accompanying f...

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Q: 2. Consider the matrices [2 -1 [2 0 D= |1 4 5 4 3 and F= |0 1 1 2 (a) Show that A, B, C, D and F are...

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Q: Find the particular integral of the following ordinary differential equation d2y/dx2 +9y =cos3x.

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Q: Let D C R? be a domain. A real-valued function u: R→R, where (r. y) u(r. y) is called harmonic if ur...

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Q: Let A [1 0 7 ]5=[-5 3 21* and ne following, or show that it does not exist. (o) dot( RC)

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Q: Please see image

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve fir...

Q: Advanced Math Question

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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.