Convert the point (x, y, z) = ( − 4, − 3, 2) to cylindrical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place. (r, 0, z) =

Q: Convert the equation x² + y² = 64 to spherical coordinates and write in standard form, solving for…

A: We need to use relation between cartesian and spherical system x=ρ sinφ cosθ , y= ρ sinφ sinθ , z= ρ…

Q: Find the number of positive integers not exceeding 1000 that are either the square or the cube of an…

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Q: Let B be an m×n matrix and let AB be a k×n matrix. If rank B= rank (AB), show that null(A) ∩…

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Q: Find the bases for the row space and column space of the matrix 1 -2 5 0 3 5 -7 0 -6 3 -2 1 -3 8 -9…

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Q: Find an equation in cylindrical coordinates for the rectangular equation x² + y² = 10x

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Q: If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is

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Q: Let A E BL(H). Then A is called normal if A*A = AA*, uni- tary if A*A = I = AA*, that is, A* = A−¹,…

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Q: Find the mean and standard deviation of a normal distribution that approximates the binomial…

A: Given n=200, p=0.25 (46)  x =np    =200×0.25    =50∴x =50 (47) σ=np1-p  =2000.251-0.25 =6004  =6.12

Q: Let f(x)=x²-3x²+6Vxe R and g(x)= max. f(t); x+1≤ t ≤ x+2,-3 ≤x≤0 1-x, Find the function g(x). x20

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Q: (a) Suppose that p and p + 2 are both prime. Explain why either p is 3, or p + 1 is a multiple of 6.

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Q: For the experiment described below, let x determine a random variable, and use your knowledge of…

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Q: Plot the points whose coordinates are given. a. 2, 2п b. 1 3, п 3п '4 C S F1

A: The given problem is to plot the given points whose coordinates are given cylindrical and spherical…

Q: Convert the equation p 2 to rectangular coordinates and write in standard form.

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Q: Exercise 1 Prove that the variance of a geometric random variable X with parameter p is: (16) 9-1/14…

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Q: Find the expected value of the random variable. X 2 3 4 5 P(x) 0.1 0.3 0.1 0.5

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Q: Let S = {a+bx+cx²: {V₁, V2, V3} and T and = {w₁, W2, W3} be two bases in the vector space P₂ a, b, c…

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Q: Find the maximum value of F. dr. where F= 2xy²1+ (22-6xy²)j + (4y - 2x2y) k and C is a simple closed…

A: Given: F→=2xy2i+2z-6xy2j+4y-2x2yk and c is a simple closed curve in the plane 3x+y+z=6 oriented…

Q: Consider the plate bounded by y2 = 8x and x = 2 with density 8 = 2-x. (a) Sketch a graph of the…

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Q: Using the bisection method to obtain the roots of the following equations. -(50/9)x3+265x…

A: Given that f(x)=-(509)x3+265x here f(0)=0  so, the root of equation is 0

Q: characterize the following differential equation (what order is it, if it is linear or not, if it is…

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Q: id the point (a, p) on the ellipse 4x + 3y = adrant, so that the area enclosed by the lines y = d…

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Q: LL' is the latus rectum of the parabola y² = 4ax and Pl a double ordinate drawn between the vertex…

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Q: Solve the system of equations using matrices. Use the Gaussian elimination method with…

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Q: Q2 In Q1 we had a plot of the function from which it was clear that there was two solutions of…

A: As per the question w are given the following nonlinear function : f(x) = 1.2e0.53x - 2.3x + 1.01…

Q: how the condition that the curves a+b=1 and d+b'

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Q: Assuming the petrol burnt (per hour) in driving a motor boat varies as the cube of ts velocity, show…

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Q: If lim bn = B = 0, prove that there exists a number N such that |bn|2|B| for all n > N.

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Construct a simple graph that is a forest with vertices P, Q, R, S, T, U such that the degree of R…

A: We will first give the edge set of the simple graph  thag is a forest with vertices P, Q, R, S, T ,…

Q: 1. f(t) = (2e-4t + sin t)²

A: The given problem is to find the Laplace transform of the given function f(t)=(2e-4t+sin(t))2.

Q: 3 Find the general solution of the third-order ODE y(³) + 6y" + 10y' + 6y = 0, note that m³ + 6m²…

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Q: The inverse Laplace transform of Lie 18 (s + 2)³

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Q: Use the known factor to reduce the polynomial and find the remaining zeros of the polynomial. (Write…

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Q: Let X = {v, w, x, 9, 10, 11), Y = {w, y, z, 9, 11, 13), and Z= {w, y, 10, 11, 13). List the members…

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Q: 3. Let be the Euler phi function. (d) If mn, show that o(m) (n). (e) Let (n) denote the sum of the…

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Q: A rhombus ABCD is such that: 1. A = (-1, 3, -1) 2. B lies on the line I with vector equation: [-1 0…

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Q: Convert the point (p, 0, ) = (3, 6 decimals to at least one decimal place. (x, y, z) = 2π 3 to…

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Q: The human resources director for a commercial real estate company received the following numbers of…

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Q: If a 4th degree polynomial had zeros of -2, 6, and 3i what would be another zero of the function? O…

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Q: Fill in the missing value to make a valid probability distribution. 6 9 0.14 0.23 X P(x) 3 0.05 What…

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Q: n theo

A: Here, in the question Given: G be a connected graph of order p≥4. We have to prove that yt(G) = 2p-q…

Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = ln x, a = 6 O P3(x) = In 6 +X-6…

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Q: The given contingency table lists the cross tabulation of whether adults, for whom answering the…

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Q: Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species…

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Q: The inverse Laplace transform of 4s² + 11s + 151 (s+7) (s² + 2s + 10) ' is: peat + gest cos(wt) +…

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: Using exponential map, if e = [0.713, 0.926, 1.623], what is the vector "v"? O [0.713, 0.926, 1.623]…

A: Given that, e=0.7130.9261.623 The vector v is determined as shown below.

Q: 1) Suppose the wage is $12 and the cost of capital is $3, and we have the following production…

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Q: Find an orthogonal basis of the column space of the following matrix: 2 6 2 4 A = 2 1 4 5 2 4 1 2 2…

A: First we put the matrix into reduced row echelon form to find the basis for column space.  Next we…

Q: A piece of cardboard is 2.8 times as long as it is wide. It is to be made into a box with an open…

A: Since you have asked a question with multiple sub parts we will solve the first three sub parts for…