Which of the following is a direction vector for the plane with Cartesian equation 3x -2y - 5z + 3 = 0?

Q: If x1/2 =(42)1/24 then find the value of x

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

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Q: Solve the following matrix equation for a, b, c, and d. а - b b+c 16 1 3d + c 2a – 4d 12 14 a = i i ...

A: Given a-bb+c3d+c2a-4d = 1611214

Q: |1 1 1 1 1 1 If A =|1 1 11. then A 2018 = A?

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Q: x) = 3c³ -3x² + -3 at x= - 1?

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Q: Determine the truth value of: " TA(F (TAF)) TRUE FALSE

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Q: Let D be the open unit disc in C. Lel g: D-> D be holomorphic, g() = () & let (g(2) h(z) = (s'(0) ,Z...

A: let D be the open unit disc in C , WE Using schwartz lemma . WE CHECK OPTION  ONE BY ONE 

Q: y" + y = e=t ; y(0) = y'(0) = 0

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Q: 1) How many triangles can be drawn on a plane using 8 non-collinear points?

A: To find the number of triangles drawn on a plane using 8 non-collinear points.

Q: \ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the ...

A: This is a problem of geometry and vector algebra.

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

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Q: Find the Laplace transform of the function f (t) e2t = e2t using direct integration.

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Q: Determine whether each set equipped with the given operations is a vector space. For those that are ...

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Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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Q: (r+ simo - coso)dr+r Csino tcoo + co-B

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Q: { t, Ost<2 f(t) = 0, t22 Write using the unit step function then find L {f(t)}.

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Q: Зх — 8 If 3 3 = 0, then x = ? 3 3 Зх — 8 3 Зх — 81 3.

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Q: Elimination of Arbitrary Constant. Find the differential equation

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Q: 6. Using the method of Lagrange multipliers, find the the maximum and minimum values of the objectiv...

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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: 1. Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – ...

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Q: 2. In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the...

A: Given that number of people are 10 and Number of 1000- peso bills are 20. First it is needed to calc...

Q: 9.5 Given the equations 0.5x,-X-9.5 1.02r,-2,-18.8 (a) Solve graphically. (b) Compute the determinan...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: Obtain ez in rec tangular for m Iti

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Q: Show all necessary solutions. I. Solve the systems. 4 2 2 b. y 3 4 3 :-7 %3| y 4 2 - y z 3 || NI N I...

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Q: Construct proofs to show that the following symbolic arguments are valid. Commas mark the breaks bet...

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Q: |a 0 |1 5 11. then A? = B if a = ? If A = 11 11 and B = 15

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Q: Sketch a graph of the funcloos, 2x,0L×ム a oftended ao a ar - periodio dd functions, graph three full...

A: the given function is fx=2x0&lt;x&lt;π21π2&lt;x&lt;π It is given that the given function is 2π-perio...

Q: 3. Let A = (-1 2 and B = 2 0 I. Compute tensor products A®B and B® A: II. Compute Hadamard products ...

A: Given A =01-12 &amp; B =1220 1. we have to compute the tensor product A⊗B &amp; B⊗A  A⊗B = 01-12⊗ 12...

Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the prob...

A: Consider the  number of cream cakes as x then use the given information to obtain value of x.

Q: .. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factor...

A: Let a=p1n1.p2n2.....prnr and b=p1m1.p2m2.....prmr with ni,mi∈ℕ0 For all i∈{1,.....,r}. To prove gcd(...

Q: 5. The following linear differential equation models the charge on the capacitor, q(t), at time t in...

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Q: 2. Show that for any x, y e C" , det(1, +xy')=1+ y°x. Use this conclusion to compute the determinant...

A: To show: detIn+xy*=1+y*x for any x,y∈ℂn   To compute: 1+x1y1x1y2⋯x1ynx2y11+x2y2⋯x2yn⋮⋮⋯⋮xny1xny2⋯1+x...

Q: Suppose is a basis for the eigenspace of an n x n matrix A corresponding to 2 the eigenvalue A = 1/2...

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

Q: Examine the convergence of the series : (i) 1+x 00 1+ x3 (а + 1) (2а + 1) , (а + 1) (2а + 1) (За + 1...

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Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US a...

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Q: Fix a point P on the line ( and let N be normal unit vector to (. Show 5. (. that if N' is another u...

A: Given: A fixed point P on the line l. An unit vector N normal to l.   To show: If N' is another unit...

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: Prove that the cube of any integer in the form 9k or 9k + 1 or 9k + 8 .

A: Let n be some integer then by the Division Algorithm, n = 3p , 3p+1 or 3p+2 for some integer p 

Q: Instructions My submission Discussions Project Title Give your project a descriptive title Show the ...

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Q: Use the annihilator method to find a general solution of y" + 4y/ + 4y = 10z³e 2=

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Q: Find all powers of [x] in 3[x] / , and then find [x]1

A: We are given a quotient polynomial ring as 3[x]/⟨x2 + x + 2⟩ And we have to find all possible powers...

Q: 51 3 2 LO

A: Z transform of the function

Q: 1. Find the distance between (2, 8)and (–3, –4).

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Q: The orthogonal trajectories of y = 6ax is , where a is an arbitrary constant y? + 22 = 2c + x? = 2c ...

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

A: Using the convergence of geometric series.

Q: Determine whether each of the following series is convergent or divergent using the appropriate test...

A: Note:- Here given series are varies from n equal 1 to infinity  If given series varies from 1 to n t...

Q: The solution of the boundary value problem (D² + 4²)y= 0 , given that y(0) = 0 and y(÷)=1 y = 4 sin ...

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Q: Find the root of an equation f(x) = x^3 - x - 1 = 0 until estimated error Ea falls below the level o...

A: Here the given equation is f(x)≡x3-x-1=0. At first we find the interval in which the function change...

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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