You have a vector field F = \r|k7 %3D 7 = xi + yj † zk and the constant is represented by letter k Knowing this please: Solve flux integral [[,F ·n dS.

Q: 12. 2y' + y = 3t2

A: The differential equation is 2y'+y=3t2. (a) Draw the direction field of the equation 2y'+y=3t2 as…

Q: for the quartic function represented by this graph?

A: In the given question, the concept of quartic function is applied. Quartic Function A quartic…

Q: (a) Suppose that k is an odd integer and w is a k-form. Show that w^w = 0. (b) Note: This question…

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Q: By using first fundamental theorem of calculus. Solve the problem 1.) Suppose f(x, y) = S*3 If fx…

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Q: Let A be an n X n diagonal matrix. Find conditions on A guaranteeing that lim x(t) = 0 - for all…

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Q: Question 2 (a) (b) Consider the two functions of two variables (x, y) f(x,y)=5 tan '() where p is a…

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Q: 1 1 LGt-5- At²est + Ceisinh Dt = [(s – 1)3 ' s² + 2s – 5]

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Q: Find the values of a, b and c that make F=-5y°z7 (ax + bx6ji - 45,8,7(4x10, 107j+ cy°z64x10, 10x7jk…

A: Given that                          F=-5y9z7ax9+bx6i-45y8z74x10+10x7j+cy9z64x10+10x7k we know that…

Q: (2) Sketch the direction field associated to the system I'=x²-y-3, y = y + x² - 5. Include the…

A: sketch the direction field associated to the system    x' = x 2 - y - 3 y' = y + x 2 - 5   include…

Q: Now, 2 x (+) dt 2 50, d2x(+) dt 2 -1 d2x(1) dt 2 is +2 J2x(+) ct 2 + 1 +2 = -15(++ 2) + 25 (1-0) +…

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Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

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Q: y"+y' + (a) -5 x-b = 0, Xo = 2 is 5. (b)-3 (c)-2 d)-8 Q7) L(y") = a) s²L(y(x)) + sy(0) - y'(0) c)…

A: We have given the answer in the next step. Hope you understand that

Q: What is the equation of the tangent plane to the graph of 3x²+4y²-2²=3 at the point (1,1,2) ? 03 1…

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Q: (a) V (fh)= fVh+2Vf.Vh+hV²f,where f and h are scaler fields.

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Prove algebraically: (a) (w'+x+y)(w+x'+y)(w+y+z)=w'x'y'+w'yz+wx+wy

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Q: 50, dex(+) = -25 (+ + 2) + 25 (1-0) + 15 (t-1) at 2 = -√(x + 2) + 251f) + 5lt-2) By using…

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Q: 3- Give the solution of Poissois equation マu- fcx,g) ミn e = h(x, y) in terms of corres ponding…

A: Given Poisson's equation : ∇2u=fx,y               in Ω∂u∂n=hx,y              on ∂Ω=Γ Apply Green's…

Q: The equation characterizing the plane tangent to the graph of the function f(r, y) = log (1+ y") in…

A: The equation of the tangent surface to z=f(x, y) at the point x0, y0, z0 is calculated using the…

Q: Jackie and Christine are racing again! We only get some discrete data this time, but we can find the…

A: Sol:- (a) We can plot their movements on the xy-plane as follows:         y-axis         |  C     *…

Q: 3. (Section 17.6) Determine the upward flux of F = through the part of z = x2 + y2 below z = 2.

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Q: Two waves on a string are given by the following functions: yı (x, 1) = 4 cos(20 – 30x) (cm) y2(x,…

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Q: Solve the difference equation by Z-transformation y(n)-0.5y(n-1)= 5(.2)"u(n) when y(-1)=1

A: The difference equation given is yn-0.5yn-1=50.2nun with y-1=1. We are asked to solve the difference…

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.