The angle between the pair of vectors v₁ = 0, v₂=a is 0 = 45°. What is the value of a ? 1-₁2-

Q: a) [. Show that the equation 6x + 6y6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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Q: a. Show that the following are vector equations for the same line: L₁:7= (-1,0, 4) + s(−1, 2, 5),…

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Q: An investment of $13,335 earns 12% interest compounded monthly for 3 years. (a) What is the future…

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Q: (a) 2A + 3C (ط) B R

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Q: X(z) = z(z+2) 9 (z-1)(z-3) x(n) = u(n) – 53"u(¯n − 1) 3 x(n) = −u(n) + Option 3 5 +3723″u(n) Option…

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Q: 4. For any angle 0, Therefore: sin (0) = cos(0 - π/2) cos(0) = sin(0 + π/2) sin(0) has a phase shift…

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Q: Theorem: If f(t) be the function of t and u(t-a) is the unit step function then L[f(t)u(ta)] =…

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Q: In Problems 10-8, decide whether or not the method of undetermined coefficients can be applied to…

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Q: * The Laplace transform of x(t) = u(t) — u(−2)8(t) (1/s)-u(-2) O (1/s)-1 O (1/s)+1 O 1 O 1/s

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Q: H.W: Evaluate the integral: 1. √2 3y 8-x²-y² SS S 0 0 x²+3y² dzdxdy

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Q: Show that the force field F(1, y, z) = (812)i+(1−6yz³)j +(41²-9y²2²) k is conservative and find its…

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Q: By using fixed point approach solve the Value of A= √2 + √2+√2===

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Q: Determine the form of a particular solution for each differential equation 1. y" - 2y + y = 10e -2x…

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Q: :(a) f(x) = 5x -28x 7 (b) f(x) = 2x² - 2/2 +5 (4) 3√x (2x-x²) абе (d) 4√x X²-2 33 yu 3z +9 عمل 7-12…

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

Q: 0. Use the integral test to determine whether k=1 (k5 +99)³ converges.

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Q: Advanced Math 5 y + xy = -2xy²

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Q: Q4/ Find the trigonometric Fourier series for the periodic function f: of period 27, be given by…

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Q: Use Reduction of Order to solve the following equation. Use c₁ and c₂ to denote your constants C2…

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Q: Let {u₁, 2,...} be an orthonormal set in a Hilbert space H and (kn) be a sequence in K. If En|kn|…

A: The given question is related with functional analysis. Given that kn = 1n for n = 1, 2, … , .  We…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: The Z-transform including the region of convergence of an x(n) = neªn8(n) 1, all z 0, all z O 1,…

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Q: By using trapezoidal rule, n=2, The integral J = 0.9444 0.9480 0.9481 O 0.9482 O 0.94809 π/2 0 sin…

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Q: If  n×k divisible by 4, then n is divisible by 4 or k is divisible by 4. Which of the following is…

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Q: 2. Let T: R³ → R³ be the operator given by -1 1 0 -1 0 0 Determine whether T is decomposable or…

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A: Given as,   Clean Up Does not Clean up Clean Up ($11,000 , $11,000) ($18000, $6000) Does not…

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Q: Find the solution to the differential equation in problem 6, this time using the method of…

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. 1 I y=14

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Q: #4 anros y" +47= sin (2x) Hint: you need to modify one time. Long Алаевна

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Q: True or false? (a) If V is a vector space and W is a subset of V that is also a vector space, then W…

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Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: f(z) dz = 0, where f is the given function and C is the unit circle [z) = 1. (Enter your answers as…

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Q: Using Gauss' theorem to calculate the flow of the vector field 3x3 F: F (x, y, z) = (x^2z, 2x^2,…

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Q: Find a linear differential operator that annihilates the given function. 1. 13x + 9x sin 4x

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Q: If y, and y₂ are linearly independent solutions of t^2y" + 5y' +(2+t)y = 0 and if W(y₁, y₂)(1) = 3,…

A: Given differential equation is t2y''+5y'+(t+2)y=0   Also, given y1, y2 are Linearly Independent…

Q: 6. Use spherical coordinates to evaluate SLESE + y² + 2² dzdxdy.

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Q: H.W: Evaluate the integral 1 1 1. ]]x²0 SSx оу x²exy dxdy

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

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Q: (a) A = (b) B = [ 4 -3 -8 6 1 0 0 -2 2 0 0 4 -2 Use the row reduction algorithm

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: The table gives the values of a function obtained from an experiment. X 6 7 8 9 10 11 12 f(x) -5.3…

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Q: Solve for the two positive values of x that satisfies the equation e* = 3x² Using the following…

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Q: Determine the Laplace transform for c (0³-0-²} s+2 1- F(s) = In +3 S-3 الخيار 1 0 3- F(s) = √√s…

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Q: The Z-transform including the region of convergence of x(n) = neans(n) 1, all z O 0, all z O O O 1,…

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