1. Which of the following permutations in S, is odd? (a) 53124 (b) 51423 (c) 51234 (d) 54231

Q: Given the first order differential equation 1.1 using the substitution y = vt. 1.2 dy 2y2+12 = dt…

A: Given differential equation is  dy2y2+t2=dt2yt⇒dydt=2y2+t22yt         .........(1)

Q: Q4: Solve the following differential equation using Laplace transform 1. y' = y1 + 3y2, y2 (0) = 1…

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Q: 11. If J = {x € Z|0 |O|. %3D %3D 13. Let F = {x € R|x° is defined }. Then, F is a proper subset of…

A: 11) "J={x∈ℤ:0<x<4}, then J has exactly 9 subsets. "  J={1,2,3} .the cardinality of the set J…

Q: Give the VALUE only. No need to include the unit of measurement in you answer. DO NOT include spaces…

A: Given that, Increasing rate of plant cell is dydt=(12-t)-2 Now we get, y =∫(12-t)-2dt +c y =-…

Q: II. Let U = R = {x €R|x – 14x³ + 45x = J= {x€R|x* 2}. 0} I %3D Find the following. All infinite…

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

Q: a. All protons are subatomic particles. All neutrons are subatomic particles. Hence, all protons are…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: 4. Using Inverse of a Matrix a.5x + 15y + 56z= 35 b.-4x – 1ly - 41z =-26 c.-x- 3y – 11z=-7

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Q: 2. Calculate the divergence of D = (÷)[10xyzảy + 5x²zãy + (2z3 – 5x²y)ã,] at P(-2,3,5).

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Q: (b) Shade the region in the complex plane defined by z+1+i 2-1-5i

A: Solution:-

Q: 1. If the statement "for some x, P(x)" is false, then the statement "for every x, P(x)" is false. 2.…

A: This is a problem of Logic.

Q: e*dx + 2 | 2*dx = e*+1 2*+1 + + C, In 2

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Q: sin(z) Evaluate the integral Tz+1)(2² + 2) dz where C is the circle |z – 2i| = 1.

A: We have to evaluate the integral ∫Csinzz+1z2+2dz where C is the circle z-2i=1

Q: Theorem 12. Let V be a finite dimensional inner product space and te Hom (V, V). Then linear…

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Q: i 3-2i.

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Q: Find all the Laurent series representations of the function f(z) = 1/(z − 3)z centered at 0.

A: We have to solve given problems:

Q: 3. A lady 1.65 m tall walks towards a lamp post 2.65 m high at a speed of 1.5 m/s. How fast does her…

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Q: Express each of the following in the form a + bi. cosh(1 – i2)

A: Solution

Q: 3. How many zeros at the end does the number 2022! have? (n! is a product of all positive integers…

A: Given,Number = 2022!To find: Number of zeros at the end (trailing zeros) of the given number  As per…

Q: ») Shade the region in the complex plane defined by {rec: s |z+ 2+ 2i <1 4i E C

A: Complex plane

Q: dz and ду dz IV. Suppose z is a function of x and y, and tan Vy2 + x² = z"e6y. Solve for

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Q: Using the method of LaPlace Transform, solve the following IVPs a.) y"' + 3y" + 3y' = y…

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Q: Comest the r. I56

A: Since you have posted multiple questions with multiparts and we can answer three subparts of a…

Q: aplace of the following Periodic fu 0 <t< 2 in(wt)

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Q: TRUE OR FALSE 4. Logically equivalent propositions are tautologies. 5. To prove p → q by…

A: Definitions: Tautology- A tautology is a compound statement S that is true for all possible truth…

Q: 14 35. x²e *dx, n=6 0.2

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Q: a k 2 + k² S 2 + k² k

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Q: Ē=-V A electric field can calculated from a potential by using The potential at (x y z) due to a…

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) %3D f(r, y) = { 1² + y (x, y) # (1, –1) x…

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Q: 8 In Problems 17 composite rectangular rule strategies with the indicated number of equally spaced…

A: Consider the given integral, ∫13e-x2dx The midpoint rule states that,…

Q: Using Picard's method, the 3d approximation of = x* +y at v(0)-1 is 1+ x + so the values of d and r…

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Q: We need to design an observer such that estimator poles are located at 11,2=0 and A3=-1, employing…

A: Consider the given equations, xk+1=123456789xk+1-23ukyk=12-3xk Let us suppose that, A=123456789,…

Q: H) ZEROS AND UNIQUENESS (SESSION 9) 1. Specify the order of the zero z = 0 of the following fun…

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Q: 2. Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). -

A: Given, To prove: A-(B∩C) = (A-B) ∪ (A-C) Using membership table A B C B∩C A-B A-C A-(B∩C) (A-B) ∪…

Q: II. Let U = R I= {x €R|x° - 14x + 45x = J= {x € R|x* s6} S = {x €R| |2x| > 2}. - 아} Find the…

A: Union of the two sets: The union of two sets contains all the elements of both the sets Intersection…

Q: 4. Let G be a finite group of order 4 containing no element of order 4. Explain why every…

A: See below

Q: QUESTION 1 (a) Determine the Inverse Laplace transform of the following expressions: 1 (s-4)' (b)…

A: Solution

Q: 1. Let X = {1,2,3} with the topology 1={X,ø,{1,2},{2,3},{2}}. Verify whether X is regular or not.…

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Q: 11. If J = {x € Z|0< x < 4}, then J has exactly 9 subsets.

A: We have check given statement is true or false.

Q: Find the equation of the circle of curvature of the curve y= 2x" –x' at its minimum point in the…

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Q: Find and graph all the roots in the complex plane. 3. (3+ 14)

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Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

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Q: tate whether the given solution is TRUE or FALSE. the ed 1. How fast is the volume of a cube…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A: Given function: hx,y=x3-3x+3xy2 To find: all the relative minimum and maximum values, and saddle…

Q: b) Golve: 4x°y*+4x°4- sx y' + 24= 60x?+8x +1 on Co,00) (2) vsing the Method of Uaniation of…

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Q: Find the volume of the solid generated by revolving about the x-axis the smaller area bound ed by…

A: To Find: The volume of the solid when the region, bounded by the curves x2+y2=2 and y3=x2 is…

Q: (D² + 1)y = sec² x csc x X cSC X

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Q: ination method to solve the equation? x + 4y – z = -5 x + y- 6z = -12 3x – y - z = 4

A: System of Linear equations

Q: Determine whether the following examples are discrete or continuous data sets. Write "DISCRETE" for…

A: The discrete data is the numerical type of data that contains integral values continuous data is the…

Q: 2 0 The total of the Eigenvalues (A, + 22 + A) for the matrix 1 4 -1 is -1 2 О а. 5 O b. 13 O c.…

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Q: 1. Specify the order of the zero z = 0 of the following functions: a) f(2) = z²(e* – 1), b) f(2) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…