The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2) (-3z)° 10 C3 (2a2) (-3x) 3.

Q: 14. Solve the boundary value problem. y"+y = x2 +1, y(0) = 5, y(1) = 0

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Q: 5) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-card hands are possible? ...

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Q: Detremine the Inverse Laplace of the ff: F(s)= (2s + 1)2 s4 show complete solution

A: We determine the inverse Laplace transform of  F(s)=(2s+1)2/s4

Q: 3. Which of the following are subspaces of Mnxn: Justify your answers. a) Nonsingular matrices b) Si...

A: Let V = Mn×n be the vector space of n×n matrices. Then W is a subspace of V if  1. Zero vector is in...

Q: The equationr= 3cot@csce, expressed in rectangular coordinates is given by: (a) y? = 3x (b)/3y = x2 ...

A: Relation between polar co-ordinate and rectangular co-ordinate x=rcosθy=rsinθx2+y2=r2θ=tan-1yx

Q: 1. What is the probability that a randomly drawn A number between 1 and 100 for the lottery is divis...

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Q: Find the value(s) of c for which the following vectors v, = 1 and v4 -1 1 are linearly independent. ...

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Q: 1ons: Solve the following problems. A card is drawn at random from a box of 20 cards numbered from 1...

A: (a). As Multiple of 4 are = 4, 8, 12, 16, 20 Thus Number of favourable cases = 5 Total cards = 20 He...

Q: Determine whether x= (0, ,0) is an optimal solution to the following linear program. maximise 3x1 + ...

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Q: A solid right circular cone of height h with a 90° vertex angle has density at point P numerically e...

A: Given that a solid right circular cone of height h with a 90° vertex angle has density a point P on ...

Q: Find the value OF the Modulus oF Z in z=(2-1)(5+j12) 3.

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Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-1)-1 = R. (b) (RUS)-I = R-'Us-'....

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Q: Hw find the vector whose length is 1o and Sumofit's components 8 is Min imum 9 11 12

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Q: Obtain the values oF a and b Catb) + j la-b)= (itj)+j° (2+j5)

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Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>  

Q: There were 600 students who answered a transportaion survey. Of those surveyed, 159 said that they o...

A: Let U be the set of total students who answered a transportation survey. A be the set of students wh...

Q: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. Show that A x (B x...

A: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. To show :-A x (B x...

Q: 2. Reduce to the form a + bi: d. sinh (3 + 4i)

A: To reduce sinh(3+4i) in the form a+bi.

Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

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Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above equation...

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position me...

Q: (c) The velocity of a particle v ms-1 at time t s satisfies the differential equation dv t- = v + t,...

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Q: Find lcm and hcf of 1. 75,85,95,105 2. 105,180 3.140,210,350

A: To find the lcm and hcf of 1 75,85,95,105(2) 105,180(3)140,210,350

Q: In the expansion of + 6)-", state the number of terms and the coefficient or the middle term. 21, 20...

A: Introduction: The binomial expansion is a very important finite series in mathematics. With the aid ...

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

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Q: Solve the recurrences relation A¸ = 4 · A 3 · A n-1 1 n-2 subject to the initial conditions A¸ = 1 5...

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Q: onsider the following situation, which involves two options. Determine which option is less expensiv...

A: Make a table for the data given for two cars for 1 year  old car New car Insurance 600 900 re...

Q: f(x) = |r – x| , %3D ーT<X<

A: The given problem is to find the Fourier series expansion of the given periodic function with given ...

Q: y - 3y = 8(t - 2), y(0) = 0 %3D

A: We have to solve the given ode using laplace transform.

Q: Determine the odds in favour of rolling the sum of 9 or more, with a standard pair of die. Fill in t...

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Q: Solve the following differential equation using determination of integrating factors: 2y (x2 - y + ...

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Q: Consider the trigonometric function y= 2sin - Wewill il out the table and plot S points so that we c...

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: What can be said about the lines defined by the equations y = 0.25x + 8 and 3y - 3/4x - 24 = 0 recip...

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Q: x) = 3c³ -3x² + -3 at x= - 1?

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Q: A basket contain 450 eggs .If 8% of the eggs are rotten, find the number of good eggs

A: Percent: It is the one hundredth of the whole It is denoted by % a% of P means a100xP Whole of any i...

Q: Find the solution of: 1. 2xyy' = 1+ y² when x = 2, y = 3

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

Q: X1- X2 -X3 +. 3) х — у + 2z — и %3D- 1 2х + у — 2z — 2w %3D-2 —х + 2у — 4z +w %3D 1 Зх — Зw %3D —3

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Q: Compute the Laplace transform of the following: f(t) = t?e-3t

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: 4. Use rules of inference to show that the hypotheses Vr(P(r)^ Q(z)) and Vr((¬P(x) ^ Q(x)) → R(x)) i...

A: We have to show that the hypotheses imply the conclusion using the rule of inference.

Q: Obtain ez in rec tangular for m Iti

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Q: 5. Determine whether the given pair of graphs is isomorphic. u2 v2 V3 V4

A: The number of vertices in graph 1= 8 The number of vertices in graph 2 = 8  The number of vertices i...

Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next t...

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: Find the Fourier series of f(x) = {0,-5 < x < 0 {3, 0 <x < 5

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Q: Jaden wants $25,000 in 5 years.  He can invest in a fund that earns 6% and compounds quarterly.  How...

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Q: 2. 3 4. 21 4 FIND THE 3 4 2 DETERMINANT 4. 3 1 2. CS Spanned with GamScanner

A: Given A = 1234214334214312

Q: Test for convergence the series 3 5 1 (i) 1.2·3 2.3·4 ...... 3.4.5

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Q: If the bank advertises its rate as 6.2% compounded monthly, and another bank advertises its rate as ...

A: Given:  Bank A gives the rate of interest at 6.2% compounded monthly. Bank B gives the rate of inter...

Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-1)-1 = R. (b) (RUS)-1 = R-'Us-!....

A: