Tet X beacontinuous nonnegative Punction on Lo, suchthat X CO) =6 and x (t)51for all te [osl], Show that sx(t) dt

Q: 1 nt) Consider the function f(x) = 6x2 +3 is concave up for x E isqrt6/6, infinity is concave down…

A: The concave up and down nature of the function is determined by the sign of the second derivative of…

Q: Giveni SP bisects <RSV meRST =2x+3y のTSV= 3xーシ+2 m2RSV =8D find: x and

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Q: Constăuct the Langbange intespalation polynomial for y-Sinnx, taking. the function the point ナ 2.

A: Given that y=sinnx And x0=0, x1=16, x2=12 The lagrangian interpolation polynomial,…

Q: 0 eg put (1) in f|L) = < ² cos(21), 3 siu (22), A 3√5 355 255 f(2)= < 3105 |24] 3sin (22) L

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Q: {x € Z | x > 0 Ar < 10} n{x € Z | 3y E Z((2 | y) ^ (y | x))}

A: Here first set is all integers between 0 and 10 and second set contains all even integers.

Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: 20E22. For each pair of Eunctions 'in Exercise 17-34: 9) Find the domain OF f,9, ftg,P-g,fg,F5…

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Q: EX+ Prove that [X Ju cx)] = x'Jr-, cx) Solp 2. ヘャut 2m+2V (-1)" X 2m+V (m!)P(m+v+1). neno 2m+2U-1…

A: Property of gamma function: Γ(m+1) = mΓ(m) ............. (1)

Q: Simplify the following functions using Boolean algebra and its identities. List the identity used at…

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Q: O f(x) = x3-6x²+9x+1 funct lon is given d) Find the equation f@ =0 `s real rost with linear…

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Q: 2) FIND THE INTERVAL OF CONV. * (x-1)^" 2 (n+i) n=0

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Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

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Q: i dont get why we take the step to show that ||x||||y||≥0 for all x,y in real numebrs

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Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x…

Q: Prove that cos x cos y ≤ x - y for all x, y = R.

A: Mean value Theorem : Let a function  f:[a,b]→ℝ be such that    (i) f is continuous on [a,b] (ii) f…

Q: prove that ਰ Apply the calculus of residues to dx (1 + x²)² - π 4 .

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Q: I Consiter Hhe follwing pdf: PxY (xy). -2 di) Find Px and Px e) Find Pxir (xly) for every y. fo)…

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Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)

A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 &lt; Z &lt; 2.84)=?

Q: (2– sec?x) eIn (ale) sec3x Surau? What should be the value of A for dr to be integrable using the…

A: Option D is the correct.

Q: Which quantification proves a nonnegative number minus a negative number is positive? A Vxay(x 0) ^…

A: A ) ∀ x ∃ y(x&lt;y)

Q: Prove the following identity: (x + y)2- (x-y)? = 4xy %3D

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Q: 26) ) Show that the reductión formula for 1ー2 Sec" ndx = Sec atan n t n-2 n-- n-1 ) Hence use tta…

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Q: f(x) = 3x - 2sınx +7 %3D aluse the intermediate Value Theore m to show that flx) has at least one…

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Q: Hw4 Prove if x;-→x then if xj ->x Hw4| Prove and HoS Prove if x; →× y;→y > X

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Q: /- Solue 4ind partice the following DES asd where possible ((x+j) +

A: Y(X)= -x/2+c/x, where c is a constant. This is the general solution. Since initial conditions are…