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Q: Let u(x,y,t)=(1/t)exp[-(x²+y²)/4t] where exp denotes e to a function. Show that u(x,y,t) satisfies…

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Q: B Consider cos²0 de sin² sin²0 av cos²00 dx. Using trigonometric substitution, what is the integral…

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Q: [2 2 sinx cosx + 3cosx7 2 cosh 3 X 1 D²+ 4 D3 D³ -27

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Q: A waiting-line system that meets the assumptions of M/M/1 has A-1,-4. For this system, what is the…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Find a vector of magnitude 9 in the direction of v = . O <-3√13, 2√13) O-27, 18) 9 <-3,2) 13 1 V…

A: To find a vector of magnitude 9 in the direction of v=&lt;-3,2&gt; .

Q: 5 is to be apportioned among these states

A: Given as, Numbed of seat= 17 and total population= 20090.

Q: * Consider the following matrices 1 0 0 1 1/2 3 4 ^ - (-:2 7) ³ - († ;) -- (6 47² : ;) -- () - (::…

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Q: In how many ways can a voter rank five candidates, without allowing ties? A. 5 B. 24 C. 120 D. 60

A: Introduction: A permutation is the arrangement of objects. When a certain number of objects are…

Q: Use transformations to sketch the function y=-3log10 (x-1) + 2 y = -310g 10 (x - 1) + 2 Parent…

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Q: Consider the statement: For any positive integer nn, n3+2nn3+2n is a multiple of 33. Set up the…

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Q: Find the measure of the arc or angle

A: Suppose two chords intersects inside the circle, then the measure of angle formed by the chords is…

Q: -1 3 -6 -4 -3 4 Let y = ,Vi= " 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A: The distance of a vector from a subspace can be evaluated using the norm. For this, we have to find…

Q: Find the particular solution for the given problem. y + 2 = 10x³e², y(1) = 187.02 NOTE: Round the…

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Q: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

Q: 5. Evaluate the following integral [² 2x cos² x dx by using Trapezoidal's rule with 6 subintervals.…

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Q: f(x)= 42+ kx +p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value…

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Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: Given: ∬∫Vx4y4z4dxdydz To find: Solution

Q: Joan's finishing time for the Bolder Boulder 10K race was 1.80 standard deviations faster than the…

A: Solution

Q: Find r'(t). cos 4 cos³(t)i + 2 sin³ (t)j + k r(t) = 4

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Q: Consider the statement: For any positive integer n, n^3+2n is a multiple of 33. Set up the framework…

A: We will follow step for mathematical inductions Note : Maximum 3 sub part are allowed to be solved…

Q: 6. Evaluate for the all the roots of the function using Bairstow's method with r = s = 0. Terminate…

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Q: Solve the given initial value problem. dx = 7x+y: x(0) = 3 dt dy dt = - 6x + 2y; y(0) = 0 The…

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Q: Q1: If acoshx + bsinhx = c, find the value of x when c² = a² - b².

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b),…

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Q: The bacteria in a culture double every day. Which function can be used to find the number of…

A: In daily life, recurrence relation has wide application. Suppose an initial condition is given.…

Q: Q3) Consider the initial-value problem dx=y-x,y(0) = 0.5 Use Euler's method with h= 0.1 to obtain an…

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Q: 8. Let f(x, y) be a cost function with two parameters: x and y, and f(x, y) = y³x²y² + y + 3. For…

A: Given the function  fx,y=y3-x2y2+y+3and xold=1, yold=0, ε=0.01

Q: solve 2 (pedoe tydy +2d₂) ² 2 = {(2²-x²=y²2) (seds tydy + z dz/d2} z

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Q: D Solve the given initial-value problem. The DE is a Bernoulli equation. y¹/2 dy +y³/2 = 1, y(0)…

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Q: Find the mass of a wire in the shape of helix r(t) = cos πt i+sin πt j+8tk 0≤t≤1, where the density…

A: syms x y z r t rho real x=cos(t*pi) y=sin(t*pi) z=8*t  r=[x,y,z] rho=x^2+y^2+z^2…

Q: How much time is n for $300 to accumul

A: Introduction: The formula of compound interest is given by, A=P1+rnnt Where A is the final amount, P…

Q: Suppose that I'm (f`∞x) = (x (24-1) and f(0) = 3-2i, f(1) = 6 -21, Find f(1+i)

A: Given that Imf'z=6x2y-1 To find: f(1+i).

Q: Problem 3 (A) Solve the matrix equation Ax-b where A- (B) Is it possible to solve Ax b for any given…

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Q: ordinates to find the volume

A: Given surface: z=e-x2-y2-e-9 and XY plane To find: Using polar coordinates, find the volume of the…

Q: Yoshika Landscaping is contemplating purchasing a new ditch-digging machine that promises savings of…

A: Given: Statement To find: Solution

Q: Q2 Solve the ODE y' = 3 x³ – 4y Using Runge- - Kutta 2nd order Method for xo= 0, yo=1, Xn=2 x₂=2 ,…

A: We have to use the second order Runge Kutta method to find the value of y at x=2. It is given that…

Q: Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the…

A: Equal Sets :  Two sets A and B can be equal only if each element of set A is also the element of the…

Q: Determine the first-order saddlepoint approximation. ƒ(z) = √√2/²" 2"-18"ee-" 2π (4)=√√3²-¹8-²6%² 2π…

A: According to our guidelines i can solve only one subpart.

Q: Let U= {1, 7, 6, 14, 5, 10, 20, 18) A = {1, 20, 18} C = {7, 6, 14, 5, 10} Find A U C'.

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

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Q: 12 or younger 13 or older Total Signed waiver 10 8 18 Did not sign waiver 20 12 32 Total 30 20 50

A: Let A and B are two events, then;  P(A∪B)=P(A)+P(B)-P(A∩B)

Q: . Use x,  y and z as variables to rewrite the following sentences to mathematical statements  A…

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Q: 1 It is given that p(x) = x³ + ax² + bx-48. When p(x) is divided by x-3 the remainder is 6. Given…

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Q: L-1 s-1 (s²+9) { +9)} Find laplace inverse

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Q: 11) The solid is generated by rotating R about the x-axis. 12) The solid is generated by rotating R…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 29. 29. Find inverse Laplace transform of 1 (a) g2 — 38 + 2 )b( - 1 s3(s+1)

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Q: Find the area of the region enclosed by the graphs of y^2=x+9 and y^2=9-x

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Q: 3. Find points at which the mapping defined by f(z) = nz+z^n (n E N) is not conformal.

A: Given :  f(z) = nz+zn,  where  n∈ℕ. To find : The points at which f is not conformal.