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Q: vt − kvxx = f(x, t) v(0, t) = h(t) for 0 < x < ∞, v(x, 0) = (x), 0 < t <∞

A: Given inhomogeneous diffusion problem νt-kνxx=fx,t for 0&lt;x&lt;∞,   0&lt;t&lt;∞ v0,t=htvx,0=ϕx The…

Q: Find the exact value that the sequencesin" 1 converges to. (Note n=0 that as usual, sin" x means…

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Q: The following differential equation is separable as it is of the form = g(x) h(y). dy dx Find the…

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Q: dy 10. dx xe" (a) y(0) = -2 (b) y(1) = 2.5

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Q: Let p be an odd prime. Then for all n N, we have

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Q: The following differential equation is separable as it is of the form = g(x) h(y dy dy dx = =…

A: We have given a differential equation, dydx=sin3x We need to find solution of given differential…

Q: 6 5 4 3 2 1 0 1 L(t) 2 3 4 5 6 7 8 9 10 Example 6: At the local library, visitors check out and…

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Q: 2x + 4y + 6z 3x + 5y 2z 2x 3x + 5y x1 x1 + Х2 + + Х1 + 4x2 + 4y + 6z + 8t 2z t X 3 2x2 + 3x3 9x3 + =…

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Q: A function f and a point P are given. Let 9 correspond to the direction of the directional…

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Q: In a charity triathlon, Mark ran half the distance and swam a quarter of the distance. When he took…

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Q: Solve the following problems with the second parti a) Find the points on the surface x²y²z = 1 cl…

A: We have to solve the problems by the Lagrange's multipliers and the second partial derivative test.…

Q: a. Find the gradient and evaluate it at P. 24 The gradient at P is 211 80,5 211 b. Find the angles…

A: Note: According to our guidelines we can solve only 3 subparts and the rest can be reposted Given…

Q: Consider the following system of inequalities. { 4x² +9y²-24x-90y +225 < 0 x² - 6x-4y+25 ≥ 0. Sketch…

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Q: James was assigned to make a square screen cover. He was told that the area of the screen should be…

A: Solution : Given that Area of the square screen cover is  80 square meters

Q: 1. Determine a general solution of the differential equation: y" + 4y + 5y = 200 sin t

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Q: For the equation of the parabola given in the form (x-h)² = 4p(y-k). (a) Identify the vertex, value…

A: Note: As per the honor code, only one question can be solved at a time and up to 3 sub-parts only.…

Q: .. Find the absolute extrema of the function with its corresponding constrain. a) f(x, y) = x² - y²;…

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Q: Let f(x) be a fixed integer polynomial, and let m be a fixed positive integer. Denote the number of…

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Q: Graph 2 + 4y = 8. +Move -8 -6 Line $ -2 0 4 -4 -6 -8 Undo Redo 4 6 x Reset

A: Sol:- x-intercept is a point on the graph where y=0Given :-x+4y = 8

Q: Written as a simplified polynomial in standard form, what is the result when (2x − 1)² is subtracted…

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Q: 9. Conversion key: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 16 ounces a) If your car's gas…

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Q: 2. Consider the following system of equations. x+y=1 2x²+2y² - 4y - 6 = 0 = 0. a. Transform the…

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Q: Analysis - Part 2: Make a graph of volume of water vs mass of water (make sure to label each axis…

A: As you have asked many questions, we shall answer first three subparts only.   We shall use the…

Q: 10. Let C(r) be the statement " has a cat," let D(z) be the statement " has a dog," and let F(x) be…

A: Note: As per the honor code, only one question can be solved at a time and up to 3 sub-parts only.…

Q: 5. Find the limits of the sequence with the general term as given. You need not use the definition…

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Q: Consider four lines, labeled L1, L2, L3, and L4. The following information is known. o Line L1 goes…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: Given that the Bernoulli's Equations 2x3y'=yy2+3x2

Q: Approximate fƒ(1, 3) using the contour diagram of f(x, y) shown below

A: Here, in the question, it is been discussed about contour diagram. We have to approximate the…

Q: Continuing with the expression (x+7)², do the following. (a) By using the Distributive Property…

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Q: c) Consider the following knapsack problem: Maximize z = 10x₁ + 7x2 + 25x3 +24x4 subject to 2x₁ + x2…

A: We have to find the optimal solution.. With the help of simplex method we calculate the values of…

Q: th

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Q: 4.72* A laser beam emanates from the point P through the point Q. while another laser beam emanates…

A: As per the question we are given two laser beams passing through the points : P(5,0,0)  &amp;…

Q: Find the exact value that the sequencesin" 1 converges to. (Note 1-0 that as usual, sin" a means…

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Q: 1. If S is a nonempty set of real numbers and x = inf S, show that for each &> 0, there is an a ES…

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Q: Q1. Find the Fourier Transform in both f format and omega format. T 4 otherwise f(t) = A 0. T

A: Fourier Transform:      A signal xt and its frequency domain, Fourier transform  Xω is defined as:…

Q: Describe all of the transformations occurring as the parent function f(x)=x² is g(x) = -1 (3(x+4))³²…

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Q: Determine which of the following functions are homogeneous and the corresponding degree. If the…

A: To check whether the differential equation is homogeneous or not we check function on the right side…

Q: Determine a basis for the null space of the following matrix: 2-6 -3 5 10 5 4 1 0 1 1 2 0 2 1 0 1 2…

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Q: The region between the curve y = 1/x² and the x-axis from x = ½ to x = 2 is revolved about the…

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Q: X = {1, 2, 3, 4, 5, 6, 7} G= {{1,2,3}, {2,3,4}, {4, 5, 6}, {5, 6, 7}}, Show {2} not in sigma(G)

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Q: The radiator in a car is filled with a solution of 55% antifreeze and 45% water. The manufacturer of…

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Q: Use the big-θ theorems to find good reference functions for the following: f(n)=(n2 +5·2^n)lg(n^7…

A: Solution:     We know, n2 ≤ 2n , for n ≥ 4.     =&gt; n2 + 5.2n ≤ 6.2n     lg(n7.2n) = lg(n7) +…

Q: The point (1, 2, 1) in space is inside the ball B((1, 1, 1); 2). True O False

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Q: {21242 x+y=1 2x² + 2y² - 4y - 6 = 0 = 0.

A: Given 2x2+2y2-4y-6=0 ∴x2+y2-2y-3=0⇒     x2+y-12=3+1⇒     x2+y-12=4 That is the second equation is…

Q: In a population of 100,000 people, 40,000 are infected with a virus. After a person becomes infected…

A: Given data:The population is 100,000 people.In that 40,000 are infected wit a virus.3% will die each…

Q: Problem I Let f: R³ → R2 be the function given by the formule ([:]) (a) Find a formula for the…

A: Here, in the question the function is given by the matrix: f (xyz)=x2y-xzyz3+z Above is the formula…

Q: Consider the following sequential game. L Player 1 OR, L L OR, R OL, L, R Player 2 OL, R R R L (4,4)…

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Q: Write the following sets as a span of the minimum number of vectors

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Q: On 2021-11-19, Melisandre deposits $833.55 in an account paying a simple interest rate 7.270%.…

A: Melisandre's deposit is $833.55 Simple interest rate is 7.270% Time period is Between 19-11-2021 to…

Q: Prove Σ'() - ΑΣΘ n2"-1

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