3 0 3 and define T: R²→R? by T(x) = Ax. Find the images under T of u = - 5 a and v = b Let A = 0 3 T(u) =

Q: int at which the line ⟨4,−1,−5⟩+t⟨−3,3,2⟩⟨4,−1,−5⟩+t⟨−3,3,2⟩ intersects the plane −x+y+5z=18−x+y+5z=...

A: Given the line 4,-1,-5+t-3,3,2  intersects the plane -x+y+z=18.

Q: Which of the following is equal to Sin-1(-2-j2.5)? O 0.1343- j2.3445 O -0.5409 - j2.8003 O 2.4331+j3...

A: Note:-  sinx+j y =sinx coshy +j cosx sinhy  sinx- j y =sinx coshy -j cosx sinhy   Given expression i...

Q: Consider the Pauli matrices 1 1 1 0 Show that the set of Pauli matrices with matrix multiplication d...

A: The given Pauli matrices are σ1=0110,σ2=0-ii0,σ3=100-1. Let A=σ1,σ2,σ3. Observe that  σ12=σ1σ1=01100...

Q: b Ditections: For each graph, write tne equation of the line 8. 9.

A: Introduction: An equation of line passes through points x1,y1 and x2,y2 is given by, (x-x1)=y2-y1x2-...

Q: 1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficien...

A: Given:  6. dxdy+y2x=siny7. dxdt+dydt=18. ∑i=0nai(x)d(i)ydx(i)=f(x), where d0ydx0=y9. 3xy'+xz''-yz=0y...

Q: ee2 +eezz where: Zį = 2 + 3i Z2 = 4 – 2i

A: Here we can use Euler's formula, which states that eix=cosx+isinxande-ix=cosx-isinx

Q: n Exercises 37-40, specify the boundary ets S in 3-space whose points (x, y, z) sa conditions. Is S ...

A: Introduction: A set U⊂ R is said to be open if there exists a > 0 for each x ∈U such that the int...

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A: (1) Examine the given table ∀xP(x,4),  P 1 2 3 4 1 F F T F 2 F F T F 3 T T T F 4 T F T F

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Q: 28) 6(x – 2) = 6(x) – 6(2) 29) 45(9 ÷ 3) = 45(9) ÷ 45(3) 30) (3 + 2)² = 3² + 22

A:

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A: (a) A relation is an equivalence relation if it is, reflexive, transitive and symmetric. Let D be do...

Q: the gr

A: Given: fn (x)=x2n ,where n is positive integer. a)Find the curvature of the  graph of  fn  ,for 1,2,...

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Q: R(-2,4) and S (6,–2) are the endpoints of the diameter of a circle K. Obtain a. The equation of the ...

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Q: - ) s2 – 4 2s+6 What is L -2 cos 2t-3 sin 2t A.

A: find the inverse laplace transform of L-1-2s+6s2-4 we can write the function as -2s+6s2-4=-52s+2+12s...

Q: 4. Assume that a continuous function f : R –→ R is T-periodic; that is, f(x + T) = f(x) for all x E ...

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Q: Solve the following equation by using separation variable method: y(x,0)=10 1>0 0<r<A y.(0,1)= y, (7...

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Q: - Solve the following initial value problems. ry' = x* – 2y, y(1) = 0.

A: The solution is given as  

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A: Given graph G is Take the graph G

Q: 5. Given >U, = 3n(n +1) calculate the sum r=1 of ten terms starting from the eighth term.

A: Solution: Given that 

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Q: Solve the following first order differential equations: (xy – 2x? )dy - (y + 2xy)dx = 0.

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Q: Determine whether the two given statements are equivalent. (YES or NO 7. -P v-Q and P^~Q Answer: 8. ...

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Q: 81 4 -4 6 B = |-6 9 6. 5 -6 -8 -3 A = 9 C = [-8 7 9] D = 4 -7 9 -1 3] -2 -8 7 -8] The following matr...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

Q: Solve the following Integral Equation: x(0)= 3 =-t +

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

Q: 2. Using the method of undetermined coefficients, find a particular solution of V +y =t(1+ sin t).

A: we have to find the general solution of y''+y=t(1+sint)

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Q: y(t) = t² + | y(u)sin(t – u) du

A: The solution is given as  

Q: Solve for the inverse Laplace Transform of 4 F(s) = (s+ 1)(s? + 4s + 13) O f(t) = et -0-2"cos 3t 2 -...

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A: Introduction: The law of cosine is C=cos-1a2+b2-c22ab Where C is the angle between the sides a and b...

Q: 1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficien...

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Q: sin t 0<I< 2n

A:

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A: 6. option C is correct , two consecutive angles of a parallelogram are always supplementary. 7. All ...

Q: 1 FOr WHAT VALUE(5) OF k (IF ANY) ISs THE FOLLOWING MATRIX SIN GULAR? A = K-I 3

A: Given matrix is A=k000k-13011

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Q: (D + 3)*(x5e-3x)

A: The function f(x) is a rule that associates or fixes a number to the particular point x. When an ope...

Q: In Problems 3 to 7 evaluate in a+ jb form given Z = 1+ j2, Z2=4- j3. Z3=-2+ j3 and Z4 =-5- j. Z1 (b)...

A: Please find attachment for the details solution

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A: Given current time is 3:30 AM So 1 hour before time will be  2:30 AM Again 1 hour before time will b...

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Q: 1. f(1) = (9t + 7)2/3 %3D a. Find the derivative function of the function written above. b. Find the...

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Q: C A 1070 B. Solve. Show your solution. 1. Quadrilateral CALM is a trapezoid. If m z M = 67°, find: i...

A: Please find attachment for the details solution

Q: If Z =1-j3,Z2=-2+j5 and Z3 =-3- j4, determine in a + jb form: Zi (b) Z3 (a) ZIZ2 (d) Z,Z2Z3 (c) Zi +...

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Q: Find the truth set of each predicate. (If your answer is an Interval, enter ('uoneiou buisn 11 Jaiua...

A: we have to find the truth set of each predicate

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A: the option B and option D are correct. Please find the detailed solution in below images

Q: Find the Inverse Laplace of s+ 4 s2 +s - 6

A: Some of the properties of the Inverse Laplace function  L-1F(s)+G(s)=L-1F(s)+L-1G(s) L-11s-a=eat L-...