Question 2: show that if T (X,., X„) is the UMVUE of g(0), then aT(X1,.. , Xm) + b is the UMVUE of ag(0) + b, where b is a constant and a is a non-zero constant.

Q: 2. Find the function that satisfies these conditions: 7 (t) = (e', sin t, sec² t); 7 (0) = (2, 2, 2)

A: Ffff

Q: If x = sin t and y = cos t then the co-ordinates of the stationary points are a:) (0,1) b) (1,0) c)…

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

Q: -21 Using the final value theorem, find f(t)=2+3e2 sin 4t as t approach o. lim f(t) =

A: Explanation of the answer is as follows

Q: Find f, and f, and evaluate each at the given point. f(x, y) ), (2, -2) = arctan f,(x, y) = f,(x, y)…

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Q: 5. Let C be the unit square with diagonal corners at –1- i and 1+i. Evaluate O f(z) dz, where f(z)…

A: Cauchy Integral theorem states that if fz is analytic in a simply connected region D then for any…

Q: Prove that the Lagrange's formula can be put in the fom ø (x) f (x,) n P „(x) = Ë Σ %3| r= 1 (x- x,)…

A: The Lagrange's formula is…

Q: Question:2 Find domain of following functions S(x, y) = In(e*+e") arctan(x+y) а. f(x, y) = b. ( x² –…

A: The function in a will not be defined when x+y=0.  Thus, domain is:

Q: The conjugate harmonic function v(x, y) of u = In (x² + y²) is

A:

Q: Question 1 Which of the following sets of functions are linearly independent on (0, ∞)? O {1, tan²…

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Q: 5. Show that for every value of the real parameter a, the equatic z° + z + a = 0 a root in every…

A:

Q: Find f and f and evaluate each at the given point. Mx, V) = arctan(2). (6, -6) ,0x. y)= ,0 y) =…

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Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

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Q: Question 8 If ao + a1 + a2 +...+ ak = 0, show that (1+ lim (aovn+a1Vn +1+a»Vn+2+ .. + arVn + k = 0.

A: Given: a0+a1+a2+⋯+ak=0……1   To prove: limn→∞a0n+a1n+1+a2n+2+⋯+akn+k=0

Q: Question 2 Consider f(x) = 1/x on (0, 0). Show that for any a e (0, o0), the area of the triangle…

A: 2 Consider              f(x)=1x    on   x∈(0, ∞) For any,  a∈0, ∞ we have to show that the area of…

Q: Find the value of a,b ∈ R ,so that the following sets of functions are linearly independent for all…

A:

Q: QUESTION 6 Consider the function f(r, y, z) = 6x² + 4xy+ e4yz af Then is equal to: ду O A. 4x +…

A: we find out partial derivative with respect to y.   see 2nd step.

Q: (a) Find the solution to the following Goursat problem: = 4ux, (-2 0), u = arctan(x) on x+2r 0, x…

A: Given: The Goursat problem, utt=4uxx, -2t<x<2t,t>0 u=tan-1x on x+2t=0, x<0 u=xx+3 on…

Q: h(x) = ÷, 0 < x s 1, period = 2, odd extension %3D %3D 0 <xs1, period = 2, even extension %3D %D

A: Period of a graph is an indicator of the behavior of one cycle . The graph of an even function is…

Q: If g(x) + x cos(g(x)) = x*, find g'(0). %3D = (0), 6

A: NOTE: Refresh your page if you can't see any equations. . take x=0

Q: Question 1 Specify and sketch the domain D(f) of the following function sin(x + y) Va2 – y² + 1 f(x,…

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Q: Consider the following formula: A By(F(x) → F(y)) Both 3xA and VxA are theorems. VxA is a theorem,…

A: This question is about application theorem formulation

Q: a) Exaluate: %3D :(?)6 puo (x puif (9 and (3 +x x <O %3D for which f (x)=9). Give exact working out…

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Q: the function f (2) = z Cos z ̟has a zero of order 1 None

A:

Q: f(x) = x centered at a -3 is T,(x) = co +q(x+3) + c>(x + 3)? + c3(x + 3)³ + C4(x + 3)*.

A:

Q: Given the function g(x) = :/ V4 + sin(31) dt, 2x3 use the Fundamental Theorem of Calculus Part 1 to…

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Q: APPlied function AnalysisS The soboleves pacecwb problem 8: Let I= co, 2) on hd 2 X u(X)= Eux-z %3D…

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Q: QUESTION 5 Evaluate F dr, where F(x,y)=[2y-3cos(x)]i + [4x +6sin(y)]j and C goes counterclockwise…

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Q: Question 1: Let y(r, t) = x'tº + 2x – 3t (a) What is du/az? (b) What is du/a?

A: We have , yx , t = x7 t9 + 2x - 3t We need to find , ∂y∂x and ∂y∂t. We know that , partial…

Q: QUESTION 7. Given that F(x, y, z)=sin x i+cos yj+xz k. Evaluate , F.dr where C is given by…

A:

Q: u(x,у)- (sin x)(e' — е").

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Q: Find f, and f, and evaluate each at the given point. f(x, y) = arctan (2, -2) f,(x, y) = f,(x, V) =…

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Q: (a) Given r(t) = 't+1' cos t , , e'), find the Domain of r(t) and lim, r(t). %3D t-n/2

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The equation for the sinusoidal graph below is: f(x) = 4sin(2x) 3sion (2) 1 f(x) = 3sin f(x)=2sin…

A: Given is a sinusoidal graph.   To Choose: The correct equation for the sinusoidal graph

Q: Find f, and f, and evaluate each at the given point. f(x, y) arctan(), (4, -4) f(x, y) = f,(x, y) =…

A:

Q: Question 2 Consider f(x) = 1/x on (0, 0). Show that for any a E (0, ∞0), the area of the triangle…

A: We have f(x)=y=1x     , x∈(0,∞)dydx=-1x2for a∈(0,∞)x=a, y=1a, dydx=-1a2

Q: Determine a, for the periodic function f(t)= 2t, 0<t<2n, f(t+2n)=f(t)

A:

Q: Find f, and f, and evaluate each at the given point. y' f(x, y) = arctan) 2-2) y (2, –2) x(X, y) =…

A:

Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II.…

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence…

Q: Find f, and f and evaluate each at the given point. F(X, v) = arctan). (2, -2) f,x, y) = %3D X, v) =…

A:

Q: on (0, 2π). Show that the set of functions cos nx, n= 1, 2, 3, ..... is orthogonal

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Q: The period of the function f(x) = 3sin(x-) is %3D 2n TE (a) (b) (c) 2n (d) 3 4 一2

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Q: The value of 'a', for which u(x, y) = xt + ax?y2 + y is a harmonic function, is

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Q: Question 26 What is the maximum value of f(t) = sin t + cos t in the interval 0 <t < /2 O 2/2 O 2 O…

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Q: One of the following is symmetric about the origin: A) f(x) = x³ + |x). B) f(x) = x cos(x). %3D %3D…

A: Given functions are A) f(x) = x3 + |x| B) f(x) = x3 cos(x) C) f(x) = x5 + 1 D) f(x) = x 3+ x2 E)…

Q: If f(x) = x + 2 cos(x), 0< x < 2n, then f has a local maximum at A) x = 6. B) x = 6 11п C) x = 6. D)…

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Q: Pracbte 111 co° exist, which statement is most likely true? If the function f(x) has a local minimum…

A: Given query is to find the correct statement.

Q: 3)if f(2)=1/z, has zero of order mat z=0, then f(z) has a zero of order m at d) e a) ∞⁰ b) 0 c) 2in²

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Q: Question # 2(Section 15.4 (Green’s Theorem) Verify Green's Theorem by evaluating both integrals ´ƏN…

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Q: Find T, N, B,

A: Consider the given vector, rt=sinti+2costj+sintk The formula for Tt is given as, Tt=r'tr't Now,…

Q: Find the absolute maximum and minimum values of 2. 2 f(x,y) = x +y- 2x + 1on the unit disc x+ ys 1.

A: Given function is: fx,y=x2+y2-2x+1 and disc is: x2+y2≤1

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.