Question 1 (a) Is the operator P(y) = y/ + 2ty linear? (Show workings) (b) Find the null space of the operator in (a) above.

Q: (b) Find the area of the triangle whose vertices are A(0,0,0); B(1,1,1) and C(0,2,3).

A: Given vertices are A0,0,0, B1,1,1 and C0,2,3. We have to find the area of the triangle whose vertice...

Q: C. Provide the steps and reasons to establish the following logical equivalence: 1) [Gv)→(pnar)]epng

A: As per our company guidelines, we can solve first question for you. If you want other question to be...

Q: x, y, z, u og v á myndinni. 60° 60° 100° rri en BC. B

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Q: Let f(x)= e* be approximated by Taylor's 1 polynomial of degree nat the point x = and on the entire ...

A: taylor s polynomial   f(x) = e^x entire interval [0,1]  

Q: If M and N be the subspaces of V that contains the set of symmetric and skew- symmetric matrices, re...

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Q: (3) Every baby that eats will make a mess and drool. Every baby that drools will smile. There is a b...

A: Solution:-

Q: System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y...

A: Since  you have posted a multiple questions according to guildlines I will solve first question for ...

Q: Q1: By using Gaus -Jordan elimination method solve the following system : x+ y +z = 1 2x – 2y + 2z =...

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Q: Given the following binary number in 32-bit (single precision) IEEE-754 format, the decimal value cl...

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Q: 2. y(x*e*y - y)dx + x(y+x³e*)dy = 0 3. 2x y' = y(3x*+y²) 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0;...

A: Integrating factor and solution of differential equation

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the ...

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Q: 2) Let f(T) e Q[T] be an irreducible polynomial of degree n > 1. Show that f(T) has n different root...

A: We will use the basic knowledge of ring theory to answer this question properly, in detail.

Q: (-1)"4"+1,n+1 3n+1(n + 1) In this problem, we investigate the power series n=0 Σ (-1)"4"+lpn+1 3n+1(...

A: We have to find the power series.

Q: In a survey of 3029 adults, 1480 say they have started paying bills online in the last year. Constru...

A: We have

Q: 1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and...

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Q: Question 2 Which of the following pairs of values for witnesses C and no could be used to justify th...

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Q: Given the equation f(z) = 0.2z? + 20z +1.8 %3D , then using the standard classical discriminator equ...

A: For a quadratic equation: ax2+bx+c=0, the roots are calculated using the formula: x1, 2=-b±b2-4ac2a....

Q: 3. Prove that [Let z1 = a + bi and z2 = c + di] II

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. - 2. Calculate the Laplace transform L{12e¬t...

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Q: Choose the Laplace transform of the given function. 8 (t – T) t cos (t) e-TS + T -TS e TS -Te те

A: Laplace of δ(t-a)=e-as We also know x(t)δ(t-a)=x(a)δ(t-a) so t cos(t) δ(t-π)=π cos(π) δ(t-π) = -πδ(t...

Q: Consider 12 - 2.r +1 if r 1. Determine if the following functions are continuous on the interval I....

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Q: *A. Here is a solıd V: 7 = 20-y*-yª (V has are full circles + does not lie z cnss sec tons whidh In ...

A: We know the relation between cylindrical and cartesian coordinates system, x = rcos(θ) , y = rsin(θ)...

Q: 4. Use the dilation principle to find the Laplace transform of 1- cos 5t cos t given L{- In g² +1 t

A: We want to find Laplace transform of 1 - cos5tt Given L1 - costt = 12lns2s2+1

Q: Find the center of mass of a thin plate of constant density ô covering the given region. The region ...

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Q: If M and N be the subspaces of V that contains the set of symmetric and skew- symmetric matrices, re...

A: Given: M and N are subspaces of V that contains the set of symmetric and skew-symmetric matrices res...

Q: F = 2ui – (-u³ + 4)j – u²k and G = t²i – 3tj + tk at u = 1, t = -1. Calculate: a2 ) F×G d) :(F×G) ди...

A: Given F=2ui--u3+4j-u2k and G=t2i-3tj+tk at u=1, t=1 (a) We will find F×G that is the vector product ...

Q: 3 - find " if w z 4 e Lny and X = hn(ucosul y = = Usinv = usinu , cu v) = (2,) cugv) = (2,

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Q: Given vector A(5, 2, 2), B(1, 5, 6) and (6, 3, 1) as the plane triangle. Find the unit vector that i...

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Q: 1. Which of the following pairs of sets are disjoint and which are not ? (i) {x:x is an even natural...

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

Q: Solve the following Second Order Differential Equation dy dx? dy dx +2 + 4y = cos4x

A: Use the given information.

Q: Complex Numbers: Find the roots. = 2 – 31

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Q: B. Mrs. Cachia gave the following question on a test: Simplify 5 + 7.

A: clear explanation is given below

Q: Let E (a,b, c). Design an NFA that accepts the language L = {a}, which consists of exactly one word ...

A: Solution 

Q: Constraint 4 & 5 are hard constraints and the rest are soft constraints. Objective Function Min: 2X1...

A: We will use the basic knowledge of linear programming to answer this question properly and correctly...

Q: Find the surface area of r

A: In this question, the concept of the surface area of revolution is applied. The surface area of the ...

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1 + i).

A: Solution:-

Q: S, (x + 2y) dx + x dy. C consists of line segments from (0. 0) to (2. 1) and from (2, 1) to (3, 0)

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Q: Determine R (H) if R'(4) - . R

A: We have to find vector R(t).

Q: Suppose that ŋi and 72 are two-forms on R such that Ni = 72 + dw, where w is the one-form w = (x +y)...

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Q: Let the terms of a recurrence relation A(8)= 327.680 and A(4)=1.280. Obtain A(10)

A: SOLUTION

Q: Home work 2 find and 35 if w= CX +y +Z)< × ニ と-S yニCos (r+5), そ ニ sin (r+5) ノ aud 5 ニ1

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Q: Example 38.18. Prove that (a) div A, = VgA)

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Q: Question 2 If F 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = –1. Calculate: a) F×G a...

A: F = 2ui - ( - u³ + 4)j - u²k  G = t²i - 3tj + tk u =1, t = -1

Q: fx. yl=x'+6x+3y-12 xy+9x.

A: This is a problem of multi-variable calculus.

Q: A student did this: /5 +V7 = V35. His answer is incorrect. Describe his

A: 5+7=35

Q: please send complete handwritten solution Trying to solve a linear confluence where the following is...

A: Given: k1L-k2mod N=F1 k2M-k1mod N=F2 Here, integers L,M,N,F1,F2 are known &amp; k1,k2 are unknown.  ...

Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the inte...

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Q: Let X be a random variable with p.d.f f(x) = c + 1.2x2,0 <x < 1. Find a constant c if E(X) =! 0.6 0....

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Q: Find gcd(2,3+5i) in Z[i], ii. Show that 3 + 4i and 4-3i are associates in Z[i] iii.Determine the spl...

A: (i)

Q: the solution of the givin DE dy =t+y, y(1) = 0, dt at t=1.2, h=0.1 %3D Yexact 0.2428 (find the solut...

A: