Find the angle 0 between the vectors in radians and in degrees. u = 31 + 2j + k v = 21 – 3j (a) radians (b) degrees

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Q: 2. Evaluate the following limit. x2 +5x lim а. x+-5 x2-25 x2-25 x-5 3x2-16x+5 b. lim x+3 lim X5 x-5 ...

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A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

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Q: nge value of the piecewise function f define- -2 to x = 4. Express your answer in simp 6x for x < 3

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Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: 10. Given the curve: y = 4cos°x – 3cosx, find the following values of x (from 0 to 2pi radians) when...

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Q: 4. Use implicit differentiation to find az in xexyz sin(2z) – xyz = 5. ду

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Q: Write an integral that is equivalent to xf (2x) da.

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Q: 2 sin x V1 + cos x dx

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Q: (c) Determine the definiteness of the quadratic form q(x) = x} + 2V6x,Xz + 2x3

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Q: Find the gradient of the function at the given point. g(x, y) = 14xeV/x, (13, 0) Vg(13, 0) = еВook

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Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 0 = 150°

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Q: function D = x* - 18x + 12 a derivative of ) = 4x – 36x = 4x(x? – 9) - 9) |

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Q: Given vectors u = (-7, –5) and v = (2, –2) , find the difference V – u and represent the difference ...

A: Please refer to the solution which is uploaded in step 2

Q: 2 -1 se s? +4 .2

A: Given:       L-1se-π2ss2+4 Apply inverse transform rule:       if L-1Fs=ft then L-1e-asFs=Ht-aft-a w...

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Q: u = 3i + 8j + k v = i+j+ 6k w = i+ 8j + 8k V Find the volume. V = i

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Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: Find the indicated derivative and simplify. 9x - 7 y' for y = x+6x y' =

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