Let f (2) = #{1- ()*}. 1-()}, a – B < x < a + B where –∞ < a < o∞0 and ß > 0. Find k so that fis a density.

Q: Which of the following is always true for integrable functions f and g? ® Sirw)+ g(x}]dx = [owax+…

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Q: glay). ty sin Ctg) if مره( - إد x( %3D

A: Given that gx,y=x2+y2sinx2+y2    if x,y≠0,0a                     if x,y=0,0 To find the value of a…

Q: Judge the statement: The function f (x, y) = e ^ {xy} subject to the restriction x ^ 3 + y ^ 3 = 16…

A: Given function is fx,y=exy subject to,   g(x,y)=x3+y3-16=0

Q: The function f (x, y) = sin(xy)/xy is defined for xy ≠ 0.(a) Is it possible to extend the domain of…

A: conditions of function to be continuous: At each joining point the value of limit from both sides…

Q: Let a be a conostant and let f(x)={x^(3)-ax, if x=1 then (a) f is continuous at 0 only if a=0 (b)…

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Q: Show that the function f (x, y)=(2 + x-y) / [1+ 2x ^ 2)+(3y ^ 2)] ∈R has a limit at (0,0).

A: I have provided a solution in step2.

Q: 1 Let f (x, y) =x²y*sin (- x²+y* when (x, y) ± (0,0) and f (0,0) =0. determine if f is continuous in…

A: We have to show given function is continuous at origin

Q: Let f(x) = cx^3.50. Suppose that f(y) is 2 times as large as f(z). How do y and z compare?

A: Given,           Let f(x)=cx3.50.Suppose that f(y) is 2 times as large as f(z).

Q: 1) Draw a rough sketch of a continuous function, ƒ(x), with all the following properties: A) ƒ(0) =…

A: A) f(0)=4 , f(5)=-1, means that points (0, 4) and (5,-1) lie on the function B) f'(0) =0, f'(5)=0…

Q: Assume that f : (0, 1) → R is a differentiable function with the derivative f' increasing on (0,…

A: Given f:0,1→R is a differentiable function and derivative of f is increasing in 0,1 that is f'x&gt;0…

Q: Show that so that [*_da'ƒ (a'ſõ(ª − ¶') = ™** ªqÿ(¶')ƒ(q − q'), ƒ®ğ=gof.

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Q: O Let $(x,y)= ((¿) k*Ci-b® ;xso,2…こ=9… wh 8シX { elbewhere find the maegiinal deusdy fuetion af x…

A: As Prof. A. K. Goon defined, "Joint Probability Distribution: Let X and Y be two discrete random…

Q: 1/3x^3+y^2-2x+2y+2xy on (0,3) what is the stationary pionts and is it local or global maximum or…

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Q: b) If the function f(x), g(x) and h(x) are continuous on [a, b] and derivable on (a, b), show that…

A: The given functions f,g and h are continous on [a,b] and differntiable on (a,b). So intermediate…

Q: Let x1 and x2 have joint density function f(x1,x2)={e^-(x1+x2) x1>0,x2>0 0 otherwise  find p(x15)

A: As Prof. P. K. Giri defined, "Joint Probability Distribution: Let X and Y be two continuous random…

Q: Let f(x,y)=(x−y)/(x^2+3xy−4y^2).    Find the limit lim(x,y)→(2,2)   f(x,y).

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Q: Let µ* (E) =0 , then µ * (E U F) =µ* (F) ▼ F C R.

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Q: Determine the homogeneity of this function: f (x, y) = a+ a²y+7 3 O Homogeneous of degree 1 O…

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Q: Let f (x,y) = e**ytan (x + y), find дудх

A: Explanation of the solution is given below...

Q: Assume that u = U (x,y) iu differentiible and x =r ca Ô and y=rsin o eapress 2. entinely in termv 0…

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Q: Consider f(t)=. Integrate f(t). Upper Limit=1 Lower Limit:0

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Q: Let f(x, y) = 2x^3+5y. Find the linear approximation of f(x, y) near (1,5), and use it to estimate…

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Q: function of de -euler's theor

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Q: Let f(t) = et^2 be an integrable function defined on the closed interval [-x, x] on ℝ. If F is the…

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Q: Suppose z = f(x, y) is a differentiable function of x and y, x =r cos 0, and y =r sin 0. (a) Compute…

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Q: Let Find o*w. w = e e6(x+²) dy ^ dz + e¯ª dz^ dx + e¹(x−²) dx / dy be a two-form on R³, and 6:…

A: Given: A two-form on ℝ3; ω=e6x+zdy∧dz+e-ydz∧dx+e4x-zdx∧dy. A smooth function, ϕ:ℝ&gt;02→ℝ3 defined…

Q: If f (z) is analytic and f' (z) is continuous at all points inside and on a simple closed curve C,…

A: Solution:

Q: Suppose initially (t = 0) that the traffic density p = p_0 + epsilon * sinx, where |epsilon| << p_o.…

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