Q8. Find the equation of the plane passes through the point (1,2,3), parallel to the vector u=2i+3j+k, and v=i-j+2k.

Q: Calculate the moment of inertia of the shaded area about the x-axis. 84 mm 33 mm ·*- -50 mm 50 mm =…

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Q: Set up the iterated triple integral which gives the volume of the solid in the first octant bounded…

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Q: Set up the iterated triple integral which gives the volume of the solid in the first octant bounded…

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

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Q: 3. Find and show how to find I (6.45). T(5.45)= 48.3038. T(6.45)=

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Q: Classify the following diferential equations. Write the order, linearity and the homogeneity of the…

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Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy + 5y = 4x6…

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Q: B and B two bases given in R". B = And 10000 100) A -1 2 B = 41 Determine the transition matrix of…

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Q: Let f(x, y) = 6 - 3y³ - yx² + 2x² + 2y² and h(x, y) = 2x² + y². a) Find all the local maximum and…

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Q: 27 Justify your answers clearly. =)Evaluate the double integral ² dA where R= {(x,y) 0≤x≤2. -1s_…

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Q: Calculate us (t) * sin(t) using the definition of the convolution

A: Some of the Properties of Laplace transformation  Lsint=as2+a2Lu5(t)=e-5ssLf(t)*g(t)=Lf(t)·Lg(t)

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Q: QUESTION 7. Find the number of permutations of length 9 that satisfy the following conditions: (i)…

A: To find- Find the number of permutations of length 9 that satisfy the following conditions: It…

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Q: f(x, y) = 5 - 2y³ h(x, y) = x² + 2y². - yx² + 3x² + 3y² and a) Find all the local maximum and…

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Q: Find the rectangular equation for the surface by eliminating the parameters from the vector-valued…

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Q: Find the Wronskian of two solutions of the differential equation t²y" -t(t-5)y' + (t-3)y=0 without…

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Q: Problem 5: Let z, y EV(G) show that if d(x, y) = k that lecc(r) -ecc(y)| ≤k.

A: Given: A graph G such that x,y∈VG and dx,y=k.   To show: eccx-eccy≤k

Q: A: 0 8 4 1 9 -4 -1 -4 a what is the value of the element in row 1, column 2 of A²?

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Q: USE SPHERICAL COORDINATES TO EVALUATE 2π -2 R²² R² S 2-r r+z (r² + z²)3/2¹ dz dr de

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Q: Minimize subject to C=14x₁ 3x₁ + x₂ 24 - 6x1-2x₂ 26 X1, X₂20 + 18x2 a. Form the dual problem.…

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Q: Let F(x, y) = -o (a) + F. dr + j. Find the value of the line integral.

A: The general form of a vector-valued function in two dimensions is given by F=F1i+F2j, where F1 and…

Q: 21=6=0 +21= x 50 ' x - 21 = 2 :S +2)ds, WHERE S √√(x-6y + 2) ds EVALUATE

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Q: A non-linear system is governed by the following differential equation dx +x³u; x(0) = 0.1; u = 1…

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Q: -2 Period: 4324 3 1 -1 -2- -3 1 A Based on the graph above, determine the period of the

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Q: 1 A tank contains 160 gallons of water and 40 oz of salt. Water containing a salt concentration of -…

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Q: = (5) Find the standard matrix for the transformations T₁(x, y) (x - 2y, 2x + 4y) and T₂(x, y) = (x…

A: This is a linear algebra question. The standard matrix is find with respect to the standard basis.

Q: Let T: R³ → R² be a linear transformation. If it is known that Img (T) = CL {(_^), (8)}, t then…

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Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: Solve the initial value problem y" - 3y - 28y = 0, y(0) = a, y'(0) = -32. Find a so that the…

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Q: I = ₁e²+¹dx_ Divide the integral into 5 equal parts (n=5) and obtain the numerical integral with the…

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Q: In each of Problems 1 through 4, sketch the graph of the given function. In each case, determine…

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Q: 5-8 Determine the signs of the partial derivatives for the function f whose graph is shown. 5. (a)…

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Q: B7. Refer to the shaded object in Figure QB7, y = -2x² +2 Part B: Determine: 1 y a) the area for…

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Q: In each of Problems 5 through 12, determine whether the given function is of exponential order. If…

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Q: the ODE find Given that {x, x¹, x²} is a fundamental set of solutions to x³y"" + x²y" - 2xy' + 2y =…

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Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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Q: a) The transformation T(")=(√²³) - x - √√3y angle and sketch the unit square under the…

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Q: which of the following statements are true or false? Give reasons for your answer. i) Every infinite…

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Q: A number N is said to be a Hamilton realizable if, given a weighted graph, we can find a Hamiltonian…

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Q: Determine the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown. x…

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Q: Use spherical coordinates to calculate the triple integral of 1 x² + y² + z² f(x, y, z) = over the…

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