If f(x) is a continuous function on [a, b), then S(x)dx = 0. %3D Select one: O True O False

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Q: The pdf of a continuous RV X is given by: f(x)=12xf(x)=12x ,„XE[1,e2]x=[1,e2]. 1. find P(x>10) 2.…

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A: Known fact: ddx∫pxqx ft dt=fqx q'x-fpx p'x.

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A: To find the distributional second derivative of ux=x, ∀x∈R.

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A: Given that the function F(x), then we have to determine the derivative dF/dx .

Q: SS()dt =x arctan x

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Q: Find linearization of the given function: f(x) = 1/x at x=0.5, dx = 0.1 %3D

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Q: f(x, y) = 1/(xy), then the marginal pdf of X is (log x)/y. Is this statement True/False?

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Q: Evaluate lim X→0+ dx d sin ť dt . t O a) 1 O b) 1 c) 0 d) None of these e) H/2 5/2

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Q: H.W-2:Is the following functions continuous or not at z = 0? %3D Re(z) f(z)= 1+ z %D Z

A: Topic:- calculus

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Q: uppose ſ, f (x)dx = 8, f(x)dx = 10 , §' g(x)dx = 4 , fó g(x)dx = %3D %3D %D ind : f (x)dx 4 [f (x) +…

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Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is…

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Q: e If F(x) = | e dt, find F(1) and F'(x). ez

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Q: Suppose f(x) is continuous on R such that F(x) is an antiderivative of f(x). Furthermore i Find F(1)…

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Q: By direct calculation, estimate the value of df/dt for f(x) = 1/x^2 at x=4. Use an increment of…

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Q: True or False: For an IVP dy/dx = f(x,y); y(a)=b, if f(x,y) is not continuous near (a,b), then its…

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Q: Where is the function f(x, y) = e' arctan (VI+In(x+y)

A: In this question, the concept of continuity is applied. Given function is fx,y=etan-11+lnx+y

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Q: 2. Is there a difference between finding the general antiderivative of a function f and evaluating |…

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Q: (a) f(x) = e" centered at r = 0.

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Q: s continuous on la,b), then d f(x)dx = f(x) dx A) True B) False

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Q: Find a continuous solution satisfying dy dx + 2xy = f(x) where { x if 0 < x < 1 romer 0 if x ≥ 1 ,…

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Q: Consider f(x) - x In x. The step size, h, of Trapezoidal rule required to approximate ) dx within an…

A: Given: fx=xlnx Then, f'x=x1x+lnx=lnx f''x=1x Now observe that f''x≤1, for all x

Q: Q4(a)- If fE R(a)on [a, b, a < x < b and F(x) = S* f(t) dt] then F(x)is continuous on [a, b].

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Q: Given that y = (In(x))²In(), find dy using the method of logarithmic d.x differentiation. dy %3D

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Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: Let w(t) = ((g(t))^2 + 1))^1/3, where g(t) is a continuous function. If g(t) = √7 and g'(0) = 2,…

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Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: If f f(x)dx si f(x)dx. 24. = 2; Sí f(x)dx = -1; ſ, f(x)dx = 7 , evaluate

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Q: Given: y=fso(x-1) dt- d'y f(x)- dx show that 1 Add file

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Q: Test the following function for relative extrema. S(x, y)-+y -2x +2y-2xy

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Q: Suppose y is a function of x. Which of the following is d(x^3y) dx ? * 3x^2y + x^3dy dx 3x^2y 2x^3dy…

A: Givendx3ydx

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A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y. TRUE or FALSE ?

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Q: [a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

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Q: Let flx.y)a gxy? ty? 9x+y (4,y)+(0,0) 1. is f continuOus at (0,01? why?

A: The Given function is: The function f(x) is continuous if its limit exists and the limit value and…