62. A particle is moving on the x-axis with a velocity of v(t) = t² - 3t-18. For what values of t> 0 is the particle's speed increasing? A. 0²2/ B. t> 6 D. 0 6 only

Q: Given three polynomials over 2₂. find (i) (ii) f(x) + g(x). f(x)h(x). f(x) = 6x³-5x² + 2x - 4, g(x)…

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Q: Using Midpoint Method, calculate y for the following: h = 0.1 y – xy² = 0, y (0) = 1, The solution…

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Q: of am regulay space X and it subset of X such that cey them there is subset o a closed neighbourhood…

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Q: If X-hyp(n, D, N) then, the second factorial moment of X is n(n-1)D(D-1) N(N-1) True False O O

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Q: Part:a: For matrix -1 4-2 A-3 4 0 -3 1 3 Calculate all eigenvalues and eigenvectors of A. Compute A4…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: Given: The linear transformation T: R² → R² first reflects points in the line x₂ = x₁ and then…

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Q: Find the determinants of the given matrix below. 7 4 9 -2 12 −1 2 5 -4 7 3 -91 4 5 31

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Q: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: B: Draw the function y = √√x-8

A: First we compare this equation with general equation of parabola then transform.

Q: 2 2 21) (₁² -18343 3. The matrix Q = (a) positive definite. (b) negative definite. (c) semi positive…

A: We use the following result: (1) A block diagonal matrix is semi positive definite if and only if…

Q: Show that in cylindrical coordinates r, 0, z defined by the relations x = r cos 0, y = r sin 8, z =…

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Q: Given d'y dx² = 6x-0.5x², y(0) = 0, y(12)=0, Use step size h = 4, z1 = 20, and z2 = 25. Enter 4…

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Q: The function f(x, y) -{¹. - x² - y², 0, if if x² + y² 1 , is continuous

A: Given function is fx,y=1−x2−y2, if x2+y2≤10,             if x2+y2>1. We have to check whether the…

Q: Find the integral of the function using Trapezoidal n = 30. and using Simpson's Rule 4 3 (6x³-9x +…

A: Given integral is  ∫346x3-9x+4dx we want to evaluate that integral by Trapezoidal rule for n=30.…

Q: 5) L (4 4 sinh 3 2t +3 sinh 2tỷ

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Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: 6. If W₁ and W₂ are subspaces of V and dim W₁ (a) W₁ = W₂. (c) W₂ C W₁. dim W₂, then (b) W₁ C W₂.…

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Q: 1. A company is evaluating two projects, A and B. The company's cost of capital has been determined…

A: Use the following formula, to calculate the net present value. NPV=CF11+k1+CF21+k2+⋯+CFn1+kn-Initial…

Q: To approximate y(0.4) for the following initial-value problem: ý=y-t²+1, such that 'i' is equal…

A: Given initial value problem is y˙=y-t2+10≤t≤2y0=0.5h=0.2 We need to find the value of i such that wi…

Q: Matrix which does not have an inverse by solving it, is classified as O unidentified matrix O linear…

A: A matrix A does not have inverse if det(A)=0. And if det(A)=0 then we say that the matrix A is…

Q: Given that 2m-3-1-73 5 " then m =

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: is equivalence and find the equivale [b, b), (c,c) }, A = {a,b,c}

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Q: b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic…

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Q: a tank holding initially 100 L of a salt Consider solution begins to flow into the tank at a…

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Q: (a.V)a= Va²-ax (Vxa)

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Q: Evaluate the integral 00 [8 (t-7) 6 sin(t) dt

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Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: 3- If f(x) = k is the probability density function for a random variable that can take on the values…

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Q: - Let n and r be positive integers such that r≤n. Then (a) P = nx pn-1 (b) P = P-1

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Q: QI.A. Determine the inverse Z-Transforms of the following function: z² F(z) = (2z + 1)(z-1)

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e-¹²-y² for…

A: Given the function fx,y=e-x2-y2

Q: 12

A: The inverse of matrix A is written as A-1 so that  A A-1 = A-1 A =

Q: Determine the values of a, if any, for which all solutions of the differential equation y" (2a -…

A: Given differential equation is y'' -  2α-13  y' +  α2 -13α+ 36  y =0

Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is 2(s+2) (s²+45-23) (5²+45+13)³ 2(s+2)(s²+23)…

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Q: Solve the following linear equation by Grammar's rule. x + 2z = 1 y=-z-1 x = y + z + 2

A: We have given a linear equation ,  x + 2z = 1y = -z - 1x = -y + z + 2 This equation can be written…

Q: Q: Discuss find the following surfaces and Traces. intercepts and 4x² + +4y.2 + 2²-16=0

A: Intercept: The point of a quadric surface which intersects the x, y or z axis is called the…

Q: y=-3 y₁+ y₂ y₂ = y₁ - 3 y₂

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Q: What is the correct translation of the statement "m varies directly to a" if k is the constant…

A: a is directly proportional to b means a∝b a is inversely proportional to b means a∝1b If k be the…

Q: 1 1. The system of linear equations Dx=c, where D= 1 2 -H 1 we change c3 by 0.002 and d22by 0.001.…

A: Sol

Q: 5. Solve the following linear equations using Crout's LU decomposition method. 2X₁ 5X2 + x3 = 12 -X₁…

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Q: 1. Find the root of system of equations using Newton Method. Employ initial guesses of x=y=1.2…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Region B: Computing the integral of the function f (x, y) = (x + y) cos (x + y), with a triangle…

A: Two point form of the equation x1,y1 and(x2,y2) is  y-y1=y2-y1x2-x1(x-x1)

Q: To yield solution set of equations, system of equations used in form of © A+X = B+X OBX=A OAX=B O…

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Q: [14] 2. Let D = 2 5 [36] 4 3 E = 5 6 69 a = B - {2} b = n Suppose now a vector z=0 satisfies D¹ z =…

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Q: 4. What is the z-transform (az)-1 (1-(az)-1)2 of the signal x(n)-na"u(n)? az-1 (1-(az)-1)2 (a) (b)…

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Q: Q3./ Solve the following simultaneous ODE, y₁ = -3y₁+ y2 y2 = Y₁ - 3y2 У1

A: The solution is given as

Q: Using Ralston's Method, calculate y for the following: y – xy² = 0, y (0) – 1, h = 0.1 The solution…

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Q: in problems 1 and 12, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: . As soon as a new value of a variable is found by ite in the following equations, this method is…

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