The tangent planes to the ellipsoid =1 meets %3D 62 the coordinate axes in points A, B and C. Prove that the centroid of th a² b2 c2 triangle ABC lies on the locus x² = 9.

Q: 2. We have seen that the FTC for line integrals implies fc Vf - dĩ = 0 for any smooth closed path C…

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Q: True or False. Justify your answer. Since we have sin(a+y)= sin(z) + sin(y), the function sin(r) is…

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Q: 6. A population of fish is living in an environment with limited resources. This environment can…

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Q: 5 e 2y sin (- 4x) - lim (х, у) >(0,0) (Type an integer or a simplified fraction.) %3D

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Q: fn(x) = { n2x for  0<=x<= 1/n, -n2x + 2n for 1/n<= x<= 2/n, 0 for 2/n<= x<= 1., is uniformly…

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Q: Find Df and Duf to:- XZ on the point (,,1) inthe direction of V = 2i -3j+6 K. %3D soLiin ansi- lo

A: Directional derivative of the function.

Q: Consider the statement: “There is a person x who is a student in CSEN 5303 and has visited Mexico”…

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Q: 1. Suppose b, , b2 , b3 .... >= 3. Prove that bn is divisible by 3 for all integers n>=1. Is a…

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Q: A 1.257 1.39 1.52 1.65 1.809 1.962 2.123 2.295 2.462 2.650 2.827 1.5 1.65 1.8 1.95 2.10 2.25 2.40…

A: given formula 0.018T=∫1.53Axdx           ...i calculate T the time in second for the level of water…

Q: Use the trapezoidal rule of integration to determine the value of the following integrals (a) | (2 –…

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: 2. A bag contains six identical balls: two reds,3 blues and one yellow. Three balls are drawn from…

A: We have 2 red , 3 blue , 1 yellow Total 6 balls . Three balls are drawn from the bag .

Q: U he sinylexe meliad to slue the pro subjeet to てx+メ 2 x, + X2 < 12 Xi + Sx2< 12 XI,X2 ZO

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Q: Use integral test to determine converges or diverges.

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Q: Find the value of z for the probability statement: P (-z <Z<z) = 0.7887 %3D 1.25

A: Solution

Q: In the first two problems, find the first four non-zero terms of the Laurent series of the indicated…

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Q: 3. Find the value of ø(T) for a solution ø(x) to the initial value problem: y" + 25y = 10 cos 5x;…

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Q: Let e1, e2,..., en be an orthonormal list of vectors in an inner product space V over F. For any…

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Q: 4. The exact simple interest on P 450 for the period from January 10, 2004 to a "specific date" is P…

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Q: Two sphere of radii r1 and r2 cut Orthogonally prove that the radius of common circle is (r1r2)…

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Q: n issue of a magazine contained the following statement Dropping less than two inches per mile after…

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number…

Q: Given the function f(1) = 12e" Use the Laplace Transform table to convert this function into f(t)

A: We have to find the Laplace transform for the given function.

Q: QUESTION 1 Which of the following is a correct conversion formula when changing from spherical to…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9. ~r S

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Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

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Q: Four holes are drilled in the circular plate in the figure below. The centres of the holes are 5 in.…

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Q: 2 1 2 3 4 5 6 7 8 2 to z = 7 using a Left Endpoint Approximate the area under the curve shown above…

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Q: 3. For the following predator-prey system, identify which dependent variable, r or y, is the prey…

A: Given: dxdt=αx-αx2N-βxydydt=γy+δxy To identify which dependent variable is the prey population and…

Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

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Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3…

A: Given A = -14-645-12-2-43λ1 = 13, x1 = (1, 2, -1)λ2 = -3, x2 = (-2, 1, 0)λ3 = -3, x3 = (3, 0, 1)

Q: (x+2y³) d 1. = y de d (dy 2y 2. de (de dy +(1-xf-3/2) y = *+V1-x2 %3D de (1-x

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Q: A. Determine whether or not the two events are mutually exclusive, write (ME) if mutually exclusive…

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Q: Which of the following is a correct conversion formula when changing from spherical to cylindrical…

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Q: In a chess tournament, each pair of participants must play with each other exactly once. Two players…

A: We will use counting including combination  to find solution .

Q: 3. Let n be an integer greater than 2. Explain why n! +2, n! +3, n! +4, n! + (n – 1), n! +n are all…

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Q: 4. Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Use the trapezoidal rule of integration to determine the value of the following integrals (a) | (2 –…

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Q: Given the complex-valued function ?(?,?)=(?−??)/(?+??), calculate |?(?,?)∣2.

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Q: -i [1 1. |0 li 4+i -2 4 – i 3.

A: To find out the given matrix is real , symmetric, skew-symmetric, hermitian or skew-hermitian .

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: Find a basis for and the dimension of the subspace W of R*. w = {(3s - t, s, 2t, s): s and t are…

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Q: Determine if the sets of vectors are linearly independent or dependent. Justify your answer. You may…

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Q: 8. Determine if the critical point (0,0) of f(x,y) =x³+2xy² – y4 +x² + 3xy+y² +10 is a local…

A: f(x,y) = x3 + 2xy2 - y4 + x2 + 3xy + y2 + 10 =&gt; fx = 3x2 + 2y2 + 2x + 3y      fxx = 6x + 2…

Q: a plane takes 1 hour to travel 450 miles with the wind it can travel 350 miles against the window in…

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Q: If it cost $8 to fill a gas tank in 1980, how much would it have cost to fill the same tank in 1990?…

A: As per average gasoline price data given in the question , price  index for average gasoline  price…

Q: (d) Show that u and v are linearly independent in the complex vector space C. (e) Use the…

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Q: Example 1.2 (e) Determine if the following series is convergent or divergent. In n b) d) E S (n+1)…

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Q: HW 1: Find the trigonometric Fourier of the triangular waveform shown over the interval (-TT, T).…

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