15 A continuous r.v. X has CDF " OF 16 17 X Co F(X 1 = === x OBX C1 15X K Find value of k 18 19 20 21 1

Q: 14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x f: x→ 0, x = 0.

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Q: Let f(x)=a, cos (a, + x)+a, cos(a, + x) + .....+ a, cos(a, +x). If f(x) vanishes for x 0 and x= x,…

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Q: sir(*) F(x) = ["cos (?' )at # 26 If find F'(x). (A) cos(x) cos (sin'(x)) (B) cos (sin'(x) }in(x) cos…

A: Leibnitz Rule of differentiation:       ddx ∫α(x)β(x) f(x,t) dt =∫α(x)β(x) d(f(x,t))dx dt +d(β(x))dx…

Q: Q1. Solve the following: of A. Iff (u,v,w) is a function and u=x-y, v= y-z and w=z-x. Prove that…

A: A) To prove: ∂f∂x+∂f∂y+∂f∂z=0 Given that u=x-y, v=y-z, w=z-x

Q: 3.. cos(x) is not an odd function O True O False

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Q: If x € (0, 2) then compute ( f 2 7) ² dx. x x cos x-sin x

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Q: • If y = cos x2 + x² then • y(5) = 0 TO FO • If y = cos x² + x² then • y(3) = 4x² cos x²2 + 0 FO

A: Explanation of the answer is as follows

Q: Find the solution of (tan x – sin æsiny) dæ +cos xcosydy = 0

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Q: 6. The function f (x) =cos (In x) exhibits two (2) local extrema and one inflection on the interval…

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Q: 1. w (x) = x2 +4 2. q (t) = In(tan(t))

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Q: 4.4. Show that the function f(x) = Sx² cos 1, if x = 0, ૨૦. if x = 0 is a BV-function over the…

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Q: 1.14 To determine L sinh(3t)cos (t) , f(t) = sinh(3t)cos? (t) must be rewritten as %3D - e sinh( 3t)…

A: Laplace Transform Definition: Given a function ft defined for all real t≥0, the Laplace transform of…

Q: Compute the indicated quantity using the following data. 12 13 where < a < π 3πt where π <B< 2 where…

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Q: 2. Let r and y be real numbers be such x, y E {6i 3 2 2 3弧,T} T T T T (a) If 4 cos (2t) dt = find x.…

A: Here integral is already solved and answer is given in term of f(x) and g(y). Which is true because…

Q: -W cos+ s sin s²+w² S³ (s²_2s+2)(s²+2s+2)] S-3 (2-2) -s²-6s d. L-1 e. L-1 f. L-¹

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

Q: 8. Consider the implicity defined relation 3 sin x + cos y = xy for 0 < x < 2л. What are the…

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Q: Suppose that the functions p and q are defined as follows. p (x)=–2x-2 q (x) = x² + 1 Find the…

A: Given that p(x)=-2x-2 q(x)=x^2+1

Q: Describe the types of probability samples and discuss under which conditions they may be the most…

A: Solution-: Describe the types of probability samples and discuss under which conditions they may be…

Q: 1. Show that f(x)= 4 sin(44)+2-x has at least one zero on (-1,0J. %3D

A: we have to show that there exists at least one zero of a function f(x)=4sin(πx2)+2-x on an interval…

Q: 9. Prove. cos x sin x 1 - csc x %3D sec x

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Q: 14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative…

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Q: x² sin æ+2x(2+cos a) cos 2 The derivative of f is f'(x) = graph of the function g defined by g(x) =…

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Q: 1. Show that f(r) = sin(r + 3r) is equal to g(r) = -I Cos(I) at least once on -l. Hint: Think about…

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Q: And periad of :- yatan 4x @ yosco 5 Cos 10X 2) "Q2 S Ske kch these famckan g- these fanction g- L ye…

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