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Q: If the sum of seven consecutive integers is zero, what is the biggest of the seven integers? x, x + ...

A: Let the consecutive integers be x, x+1, x+2, x+3, x+4, x+5, and x+6. Then,         x + (x+1) + (x+2)...

Q: A. If U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, À = {1,2,3,4,5 {1,2,3,5,7,10,14,15}, C {1,2,4,8,10,...

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Q: 2x5y' = y(3x*+y?) %3D

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Q: What is the surface area? 5 yd 4 yd 5 yd 9 yd 6 yd square yards

A: We have to find the surface area of the triangular prism. The prism has 5 surfaces.

Q: Find the domain of the following vector-valued functions. i) Ř(t) = cos t î – k ii) Š(t) = (t², VE –...

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H)+K. where th...

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Q: Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years (360 mo...

A: Po=p(1-(1+r/12)-mr12 P0 = Remaining loan p = Monthly payment r = Interest rate m = Remaining months ...

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j + 2k Find the ...

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Q: Suppose that S is a non-empty finite set. Prove that ? has as many even-sized subsets as it does odd...

A: Let S be a non-empty set. Let A be the set of even sized subsets of S and let B be the set of odd si...

Q: A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx = 1 (x sin y) dy

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Use Euler's Method to find a numerical solution of the differential equation dy y 3+ dx With initial...

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Q: [8] (a) Write in words how to read the following out loud: {n EZ | n is a factor of 9}. (b) Use the ...

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Q: Determine whether the following series converges, and if so, find its sum. 1 ( a) Σ 271 (n + 1)(n + ...

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Q: 5. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4 y(0) =y'(0) = O using L...

A: Given differential equation is y''(t) - 3y'(t) + 2y(t) = 4 with y(0) = y'(0) = 0

Q: Let w = (-5, -7, -2), v1 = (2, 1, 1), ö2= (-2, -2, -1), 03 = (-5, –3, -2). If possible, express w as...

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Q: Sunset bus leaves lautoka at 7.15 am andreaches Pacific harbour at 10.15 am covering distance of a 2...

A: Time from 7:15 am to 10:15 am is 3 hours,  Total distance is 210 km  The average speed of the bus is...

Q: = [cos (t -) + sin (t-)u (t –) 14. F(t) = 2m,0 st<3; F(t+3) = F(t) 13. F(t) %3D 15. F(t) = 0(1,0<t<4...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O None O 1 O 2 4

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Q: 2+31 ++8, Express the answer in rectangular form. B. Evaluate the expression C an

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Q: Determine the relationship between the two triangles and whether or not they proven to be congruent....

A: we have given the two triangles  suppose the given triangles are ABC and PQR we have to find the re...

Q: Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 ...

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Q: Find the volume of the solid generated by rotating the region under the curve y=√x from x=0 to ...

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Q: Using dot and cross products only, show which of the following vectors are perpendicular and which a...

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Q: Let 52D If possible, express w as a linear combination of the vectors 71, 02 and 3. Otherwise, enter...

A: We have to write w as a linear combination of v1 , v2 and v3.

Q: please

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Q: Jse the inner product (u, v) = 2u1V1 + uzv2 in R? and the Gram-Schmidt orthonormalization process to...

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Q: 6s – 5 4s +7 3s – 2 s +8s+ 25 ) s+7 s(s² – 3s – 10) naL 3²L² +n?n?

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Q: Problem 3. The surface of a dome to be installed on the roof a house can be modelled through the fun...

A: Solution is below.

Q: Simplify (x*)(*).

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Q: 1 2 1 2 0 1 3 4 0 0 3 5 00 0 4 Exercise 1.4.1. Consider the matriz A = [1 20 0 0 1 0 00 35 1. Find a...

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others then...

Q: 7. Find the Inverse Laplace Transform of 3/ sqrt [(s - 2)^3] * A. (6/T) [ t^(1/2) e^2t] B. (6/T^1/2 ...

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Q: 2. Let char F = 0 and f(x) E F[x] be a monic polynomial having positive degree. If d(x) = gcd(f(x), ...

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Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: y(x³e*y – y)dx + x(y + x³e*y)dy = 0

A: given equation yx3exy-ydx+xy+x3exydy=0 simplify yx3exy-y2dx+xy+x4exydy=0            ...i this is of ...

Q: Use the appropriate test to determine if the series given is absolutely convergent, conditionally co...

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Q: A dietician wishes to plan a meal around three foods, The percentages of the daily requirements of p...

A: Given, The percentage of daily requirements of proteins, carbohydrates, and iron contained in each o...

Q: (a) Suppose that the squared matrix A is symmetric and all its eigenvalues are different. Show that ...

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

Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n ...

Q: Using the Second Shift Theorem, obtain the solution x(t), t 2 0 of the differential equation d?x dx ...

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Q: Show that if a + bi x – i then a – bi|x + i.

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Q: Use the plurality method to determine the winner of the election. Four students are running for pres...

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Q: BE BT If TN BU 4. then TU || NE. UE N° E

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Q: Evaluate the following integrals by converting to polar coordinates: 2 (a) / VI=z² (1+x² + y2)2 dydx...

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Q: Determine the solution of the first-order ordinary differential equation: 2y' +4y- 4y cos x 0

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: C. Find all complex numbers z of the form 2=x+y such that that zz = 25 and *+y = 7.

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Q: Find the area of the part of the surface ¤= (y/2 + z3/2) with y E [0, 2] and z E [0, 2]. Area =

A: For the solution of the problem follow the next step.

Q: Use the inner product (u, v) = 2u;V1 + uzV2 in R2 and the Gram-Schmidt orthonormalization process to...

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Q: )Find the complete solution of the partial differential equation 2x*p2- yzq –: (ii) Find the complet...

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