Gate Preparation Institute Assignment 4 Questions 2 Please Show All Steps Properly and without any step missing

Q: S(x) 르 arcsin (금x + 1) -3 Let f '(x) = . a Find f' (x) giving your answer in the form TV (bx(x + c)…

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Q: Laplace transform of t cos at s2 + a? S (s² – a²)? (s2 – a?)2 - Option 1 Option 2 s2 – a? S (s² +…

A: Laplace transferom of multiplication by power's of t theorem

Q: Hhw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy…

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Q: 2. Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove…

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Q: Factor 10+ 4i into product of primes Z [i], (Hint: Ille= (2)(2)(29)) in %3D

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Q: /3 So tan (x) sec° (x) dx

A: Evaluation of the trigonometric integral

Q: Consider the following functions. If the function is one-to-one, find a formula for the inverse. If…

A: Consider the following functions. If the function is one-to-one, find a formula for the inverse. If…

Q: Q.3: Determine the Lagrange interpolating polynomial by using second order form for the given data…

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Q: teenagers belong to at least one club. There are 3 clubs, chess, drama and art. 6 of the teenagers…

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Q: h2 Evatuate the followingcartesian integrato by changing them inte equivalent Pelarintegrals: 3-…

A: Using Solution Subject Double integral by polar form

Q: Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove |Y| =…

A: 2. Given  Y=4-984261-25 X=1-3-74261-25 We will prove that matrix Y is obtained from matrix X.

Q: Find the value of (1 + i), where i is the imaginary unit.

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Q: (In3+j5)5 sech(5.5430°) tanhj Tei – j213 ji]*

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Q: (x, y) - arty! - b where x is the amount of money expended on labor, y is the amount expended on…

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: We have to rewrite the given integral in the required order.

Q: 4x The coefficients Cn of the Taylor series of f(x) = e4* about (centred at) a = 3 are e12 4n n! n…

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Q: [1 2 -1] 1. If A = 3 2 4, verify that detA = detA". L1 3

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Q: 5 How many isomorphisms are there between the following two graphs? Explain. (If you do not know…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: c) Given the recurrence relation as an=5n+an-1 where the initial value aj=4. i. Find the solution…

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Q: Ginen the point P=(x)y) vn 2)- la) find the distance ralx?ty2 the origin O = (0,0) to P= (x,y) amor…

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Q: Domain of the function y=log,(1– x) is all real numbers that are smaller or equal to 1. Select one:…

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Q: Which of the following statements about conjoint analysis are True? (Multiple Right answers, please…

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Q: 2. Find the images of the mapping 22 of the line y 2. W =

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Q: Use Newton's method to approximate a root of the equation 2r + 6z+ 430 as follows. Let 1 2 be the…

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Q: (6) Find the center of mass of the lamina in the shape of the region bounded by the graphs of y = x²…

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Q: The coefficient of x in the Maclaurin series of f(x) = sin(3x) is Previous Page Next Page Page 23 of…

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Q: Question 3 Consider a hypothetical conflict between countries R and U, involving a third country A.…

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Q: What is the quotient when 4 + 8i is divided by i3?

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Q: a²z Determine if z = tan- + r2+02° r

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Q: (a) a2 + 2y? + z? – 8x + 12y - 2z + 35 = 0

A: (a) Given,        x2+2y2+z2-8x+12y-2z+35=0

Q: 4), (4,2)} Draw the diagraph of R

A: # As per the guidelines we are entitled to solve three subparts at a time ,please resubmit the other…

Q: Find the gradient of the tangent to the curve xy“ + y+ ( log_(x – 2))² = 14 at the point (3, 2).

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Q: 2 and s 5 be given vectors in Rº. Which of the following vectors is Letn 2 a linear combinalion of ,…

A: Given vectors:v1=1-320, v2=025-4 and v3=12-21 be given vectors in ℝ4.We have to check which of the…

Q: A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the price…

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Q: Suppose f and g are differentiable functions on R such that, (x2+1)f (x) + 3xf(x)= e*^2 + 7x and…

A: This is a problem of differential equation.

Q: Two players simultaneously submits an offer for a public good. The offer can be either 2 or 0. The…

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Q: Find minimized SOP expression using K-Map with the given function: f (A,B,C,D) = TM (0,2,5,7,15) D…

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Q: dy What is the value of dæ for the parametric curve defined by x = It=0 e3t, Y = e18t, %3D Previous…

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Q: (In3+j5)5 sech(5.5430°) tanh j 4 V[ej – j213 ji]4 Evaluate the function above. Key in your answer in…

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Q: To solve y = e* +y-1 we first rewrite the equation in the form dy

A: This is a problem of differential equation.

Q: IF m*n DENOTES 2m – n², FIND THE VALUE OF: ii. -3 * V 5

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Q: Suppose f and g are differentiable functions on R such that, (x²+1)f (x) + 3xf(x) = e*2 + 7x and…

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Q: Classify all the critical point(s) of f(x, y) = 22 + 6x? – 3y3 – 150.x. Find maximum and minimum…

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Q: 1. Evaluate the following integration )dx (a) Analytically (b) Using trapezoidal rule with n= 1,2,…

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Q: Consider the polar curves C1 : r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…

Q: Solve the linear differential equation dy y 2x2 - dx

A: Given differential equation is dydx - yx = 2x2

Q: (b) (12xy2 + 6y + 3e*)dx + (6x²y + 2x)dy = 0

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Q: If the student attends class on a certain Friday, then he is four times as likely to be absent the…

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Q: Laplace transform of (e-t sin? t) 1 2 (s + 1)(s² + 2s- 4) (s + 1)(s² + 2s + 5) O Option 1 O Option 2…

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Q: Simplify the expression, i1997+i1999, where i is the imaginary unit

A: Solution :  Given that i1997+i1999 where i is the imaginary unit