Evaluate: (7-j3)ln(cosh(2+j5))
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Q: III. Let and be vectors such that 7=(2,2,-1), ||||= √√2, 7-=-3, and x = (2,1,2). 1. If u = (-2m,…
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A: Solution: Given A is 5×5 real matrix and trace(A)=15 and we have to find det(A)
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Q: 1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when…
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Q: 5 4 3 2 -5 -4 -3 -2 -1 3 4 -1 -2 -3 -4 Use the graph of f(x) above to estimate the value of f'(1) to…
A: The value of f'(1) is equal to the slope of the tangent through the point x=1.
Q: The volume of the solid generated by revolving the region bounded by x2-4y and y2=4x about y = 4 is…
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Q: Let T: X→→→→→ Y be a linear operator and dim X = dim Y=n<∞. Show that R(T) = Y if and only if T¹…
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Q: Find the Laurent expansion of g(z) = (2-1)/[2³3 +32² + 2z] in i) 0 < 2 <1 ii) 3<|2| iii) 0<z +2 <1
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Q: Let S be the quadric with equation 4x² − (y − 3)² + 4z² = 4. What type of quadric is S? Find an…
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Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3
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Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…
A: Given: 4x2-y-32+4z2=4 To find: Trace
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A: Direct calculation.
Q: 5. z = yex+x Iny xey-y lnx
A: Solution : z=yex+xln(y)xey-yln(x) zx=∂z∂x =∂ ∂ xyex+xlnyxey-ylnx-∂ ∂ xxey-ylnxyex+xlnyxey-ylnx2…
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Q: 9) If f(z) = u - iv is analytic in the z-plane, then the C-R equations satisfied by it's real and L…
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A: Solution:-
Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…
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Q: 14. If d is a metric on a vector space X‡ {0} which is obtained from a norm, and å is defined by…
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Q: 2. SOLVING HLDECC USING AUXILIARY EQUATION ²+k²x = 0, k is real number; when t = 0, x = 0,= vo. dt…
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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…
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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…
A: Consider the given curves, x2=4y and y2=4x Draw the diagram of the region revolving,
Q: 4. Which of the following subsets of R³ constitute a subspace of R³? [Here, x = (₁, §2, §3).] (a)…
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Q: the volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…
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Q: using the following: A(1, 0, -1), B(1, 7, 2), C(2, 4, -1), D(0, 3, 2) a) find the area of the…
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Q: 3. Solve the ODE using Separation of Variables. y². dy = (y² +1) - sin x dx
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Q: Consider the following IVP: y'=1+1, 1st s2, y(1)=2. The actual solution of this IVP is y(t) = t…
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Q: 3.) x + y + z = 6 y + 3z = 11 x - 2y + z = 0
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Q: Let Z be a proper subspace of an n-dimensional vector space X, and let xo € X-Z. Show that there is…
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