The following points are given in cylindrical coordinates; express each in rectangular coordinates and spherical coordinates. Cylindrical (r, 0, z) (1, 45°, 9) (3-4) ( (0, 45°, 9) Rectangular (x, y, z) Spherical (ρ, θ, φ) DIC DIC

Q: 13. The overall pass rate in a university examination is 70%. Four candidates take up such an…

A: Let, X = number of candidates who pass the examination.  Let us assume the event of a candidate…

Q: "-' + 5y = 4+uz(t)e4-2, y(0) = 2, 3/(0)=-1

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Q: 1) Let fi R²R and suppose that f: lim схіуз эс fcx, y) = 5. What can you say about the value f(1,3)?…

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Q: 3. Let X be the set of positive integers. For each ne X, let Sn {k € X: k2n}. Show that T = {Sn: ne…

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Q: 2) Find a solution to the following second-order homogeneous initial value problem: y" + 8y + 17y=0;…

A: Given  that The second order homogeneous initial value problem y''+8y'+17y=0   ,  y0=3  ,  y'0=0  .

Q: 17. In a certain factory producing certain articles, the probability that an article is defective is…

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Q: 2. Let (an)1 be a sequence of integers. Prove that (an) converges if and only if there exists a…

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Q: 16. The downtown core of Gotham City consists of one-way streets, and the traffic flow has been…

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Q: Study the kernel of the following linear transformations each what you now know about whether they…

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Q: 17. Assuming that half the population of a town is vegetarian so that the chance of an individual…

A: We have to solve the given problem by Binomial distribution.

Q: Let A = LU be the LU decomposition of A. Then R(A) = R(U). True False

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Q: By switching service providers, a family's telephone bill decreased from  about $50 a month to about…

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Q: Tax, ox], is either empty, a single point, or a bounded closed interval. ΧΕΙ Exercise 2.1.7 a. Show…

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Q: Consider the following linear system. X3 - *4 = 3 x3 + 4 = 1 122x3 + 2x4 = 0 X₁ X2 1-₂- (a) Row…

A: The given linear system is: x1-x2+x3-x4=3x1-x2-x3+x4=1x1-x2-2x3+2x4=0 To Do: (a) Row reduce the…

Q: (2) Find all the solutions of the following equations (if there is no solution write- no solution)…

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Q: Write an equation of a rational function that is shifted up 7 units, reflected across the x-axis,…

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Q: 6. g(x) DBE AXED a. Find the area of R. R 2 f(x) 3 4 Let f and g be the functiongs given by f(x) =…

A: Curves meet at a point which is not found exactly, so use approximate values for the problems.

Q: -- Ezi = 1 00 10 O 1 -2 E31 = O E32 = O Write L-¹ in terms of the three elementary matrices E21, E31…

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Q: Determine the adjacency matrix of the given graph.

A: The given graph, We have to write the adjacency matrix of the graph.

Q: .

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Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

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Q: y + 3x²y y (0) = = x² 4

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Q: Q1 Let P be a point not on the plane that passes through the points Q, R and S. Show that the…

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Q: F in the missing entries by performing the indicated row operations to obtain the row-reduced ma…

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Q: Please answer the highlighted problem!

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Q: card balance due of $589.85.  The transactions during the following month were: July 6   Payment…

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Q: 4. In a binomial distribution, the mean and variance are 4 and 3 respectively. Find P(X> 1).

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Q: Give the complete solution of the following differential equation for d²y dt² +y+k₁+k₂ cost = 0 y…

A: The differential equation is defined as an equation containing the dependent variable, the…

Q: termine whether the given vectors are orthogonal, parallel, or neither. (a) u = (-6, 9, 6), v = (8,…

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Q: 4. Let M be a set with a real valued function D M x M satisfying the following: (1) D(a, a) = 0; (2)…

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Q: Relate between the recurrence relations of “Lines in the Plane” problem and “Zigs in the Plane”…

A: Velocity is the displacement per unit of time. The formula for velocity is,…

Q: Do the given vectors form a basis of 2? Answer yes or no with justification. v₁ = (4,7), (5,6). 2 =

A: Solution:   v1 = (4,7) , v2 = (5,6)

Q: Suppose T : R" → R" is a linear transformation and {V₁, V2, V3} is a set of vectors in R". (a)…

A: Given that T:ℝn→ℝm is a linear transformation and v1, v2, v3 is a set of vectors in ℝn. We have to…

Q: Compute the 4th root of the complex number

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Q: Use desmos to obtain the graph of the polar curve r = 2 cos - sec 0. This curve is called a…

A: (a)

Q: Let a be a nx n- matrix, and let G: R" →R". be the corresponding linear image. i.e. G(x) = Ax…

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Q: 1. Determine whether the given series is convergent or divergent. If it is, find its sum. Σ1 (14)

A: Answer 1

Q: Problem I What kind of function f(t) will lead the Fourier series contain sin components only, which…

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Q: I Let f: IR→IR and suppose that lim fcx, y) = 5. (x,y) (1,3) that can you say about the value…

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Q: Find the cosine series of the given function below (x 0≤x≤T ƒ(x) = {f Tx≤2π

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Q: 10. The probability density function of a random variable is given by f(x) = 0 x 4 Find the mean…

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Q: y=sin(2x+rV2)+1 Drag the black dot to shift your graph in the desired direction. Use the blue…

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Q: Find the volume of the described solid. 7) The solid lies between planes perpendicular to the x-axis…

A: We have to find the volume of the solid.

Q: Are the following implications correct? If yes, prove it. Otherwise, find counterexample. (a) (A⇒C)…

A: (a) We see when A => C is False, then         (A => C) => (A ∨ C => B ∨ C) evaluates to…

Q: find all zeros for the following polynominal fuction y=x^(3) -2x -10x 2. y=x^(4)-3x^(3)-7x^(2)+15+18…

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Q: We are given Lines L=(2,0,1) + X/2,1,-2) and a:x+3 = 4-4y=20-42. a) Find the intersection of Lines…

A: Introduction:Let the equation of lines are  l:x-a1l1=y-b1m1=z-c1n1q=x-a2l2=y-b2m2=Z-c2n2Then The…

Q: Determine whether the following examples of data are quantitative or qualitative. Write…

A: Quantitative data are measures of values or counts and are expressed as numbers. Qualitative data…

Q: Construct the Pascal's Triangle to compute: (1) = ? and (10) = =?

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Q: for the following 3. Taking h = compute two steps of (a) Euler's method and (b) system of IVP.…

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Q: (a) Show that the set E is closed for matrix addition, which means if A, B e E, then A + B e E. (b)…

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