log(2 + (3 * i))^e =

Q: Use the divergence theorem to evaluate F.dS, where F (x, y, z) = zxi – e"´j+ 4zk and S is the surfac...

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Q: a) (x² + y² + z²)² = xyz %3D

A: see the attachments below

Q: Sketch the curves defined by the following equaitons: (a) z = 1– it, 0<t< 2 (b) z = a(cost+ i sin t)...

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Q: Show that if a is an even integer, then a =0 (mod 4), and if a is an odd integer, then a =1 (mod 4).

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Q: Question 19 (2-sec?x) sec'x sec( 34 -x) e In (n/c) What should be the value of A for x to be integra...

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Q: (a) (b) 8llog(2-j3)]e

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Q: Hint: This follows easily from a certain string of inequalities; E 1-14 is relevant. *39. Suppose ƒ ...

A: We will use concepts of  Riemann integration 

Q: 3. 1-п

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Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern ...

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Q: A function is given implicitly by the equation 16xy- 5 = cx +y. a) Determine the value of c if the g...

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Q: You are told that y(t) is a function that solves both of the ODES below. Find this function y(t). y"...

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Q: Solve the linear system using Gauss-Jordan Method 2y + 5z - 3w = 16 2x + 3y + 3z + 4w = 110 2x + 5y ...

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Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y wh...

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Q: Suppose a Sturm-Liouville problem has self-adjoint form (pu')' - qu + Awu = 0 (a < x < B) where p, p...

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Q: Let D be the surface formed by the graph of z = x + 2y, where 1 <x< 4,0 < y < 3. If the density of t...

A: Let D be the surface formed by the graph of z=x+2y, where 1≤x≤4, 0≤y≤3. The density of the surface a...

Q: Find the particular solution of the differential equation using the method of undetermined coefficie...

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Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5) - jsin(5)] T = VM² –1 200,000,000ej0.241 H = ЗЕ...

A: Given that E=115,000ej0, M=cosh0.05+j0.5, A=400cos5-jsin5T=M2-1 and H=200,000,000ej0.2413E We have t...

Q: dx

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Q: (3) Evaluate the flux integral where S is the surface given by 22 =r + y², 0< z< 4, oriented upwards...

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Q: A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters rate ...

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Q: The value of  5^{151} in  U_{7} is?

A: U7 is a group with multiplication modulo 7, where its consists elements of Z7 relatively prime to 7 ...

Q: 1 n > 3. Let an = nvlnn (a) Show that the sequence {a,} is decreasing. n=3 (b) Without computing any...

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Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: Let n be a real number and let E be a positive real number. Determine whether there exists a real nu...

A: |1/(n+1) | &lt; E =&gt; -E &lt; 1/(n+1) &lt; E From the first inequality, we get that,  n+1 &gt; -1/...

Q: Write the interpolating polynomial f(x) that passes through the points: 2 4 y3 4 10 1 (a) Write the ...

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Q: Match the differential equation with the appropriate slope field. y' = O A) B)

A: Note: We know that, the slope field is a visual representation of the solutions of a first-order dif...

Q: {S," cos t dt 7. L

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Q: Find the area of the region bounded by the curve y =1-- 2 and the x-axis. O 8 square units square un...

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Q: Exercise 9.2.22. Suppose that (aod) e (boc) has an inverse in Z26: that is to say, suppose there is ...

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Q: 22 23. Find the product. (-3x – 7)(5x + 8) 24. What's the equation of a horizontal line through the ...

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Q: 4n+1 4 n+3 (c) lim n+3 (е) lim 0 = ,? -13

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Q: 3. The surface of an island is defined by the function z = e-*+y*)/". function is nonnegative. Find ...

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Q: LOCATE THtE NUMBERS 2 and z, vectorially (show your illustraton), APD uSE THっE vもCtDes TD 千ND A) 2,+...

A: Solution

Q: (10) Suppose the temperature of a metal plate is given by f (r, y) = the temperature of the metal pl...

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Q: (5) Consider the following vector field F (1, y, 2) = yz cos (ry) i+ az cos (ry)j+ sin (xy)k (a) Use...

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Q: Prove that of all rectangles with given perimeter, the square has the greatest area.

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Q: a) The distance from the centre as a grandfather clock pendulum swings back and forth b) the value o...

A: Periodic motion,  motion repeated in equal intervals of time.

Q: Determine the missing number in the sequence. 35, 40, 50, 65, 85,

A: Given sequence is 35, 40, 50, 65, 85, ___

Q: dx = In[F(x)]+C. what is F(/3) if C = 0? For (x+x³) (x Tan-'x + 1)

A: We will integrate the function first.

Q: What is Maximin Distance Algorithm? Describe the use of it with a math example?

A: An algorithm is a finite sequence of well-defined instructions used to solve a class of problems or ...

Q: Willow carries 6 notebooks and 2 textbooks in her backpack. Each notebook weighs 110 grams and each ...

A: Given Willow carries 6 notebooks and 2 textbooks in her backpack.

Q: . Find the region of convergence of the following series: (b) n=1 1 (d) n!rn (-1)n-1 (e) E n.3"(r – ...

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Q: Prove the identity: tanx+ cosx = secx 1+sinx

A: Solution

Q: Complex Numbers & Complex Variables 1. (CILO 2, 3, 4) Evaluate the following: (a) Vī (b) 8llog(2-j3)...

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Q: Let F(x, y) = -z|. Let C be the curve parametrized by (t, cos(t), sin(t)), where 0 <t<. y Evaluate: ...

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Q: Find the solution to the following initial value problem by finding the general solution to the diff...

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Q: Write the interpolating polynomial f(x) that passes through the points: x0 |y | 3 6 4 4 2 10 1 (a) W...

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Q: 1 0 1 If the matrix 0 1 1 is Hermitian, do problems 3 and 4 below: 1 1 0 3. Find the eigenvalues of ...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2,r. If the point (9, 3) is on the c...

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