f(X1,X2)= f(X,).f (X2) If X,~N(H1,0) X2~N (H2,0) are not independent then ylgn ihi

Q: f (x) =, |2х-5 1 (-0,2) U[3,0), (-0,2]U(3, 0) , (-x,2)U[5,0) }. (-0,2) U[5, ) }. The domain of x-2…

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Q: of of Find and f(x, y) = x 3 +3x 2y- 9xy 3 4-32 + 2xy - 9y3, - 3x2 + 3xy2 *=x2 + 3xy - 9y3, 4 = 3x2…

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Q: f(X1,X2) = f(X1). f(X,) If are not 1 independent then ylgn

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: Q1] (A) If F(x+y-2₁x² + y²)=0 where z=2(x, y) and дz дz -у-=х-у ду ах - 0 then prov

A: (.)  Leibniz rule :      Given ,(A).        where   and   .

Q: Consider function f(x,y) for which = 24x2 + 114y and = 114x + 24y². Which of the se ду %3D əx points…

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Q: C Chain Rule 7) f (x )> (2x +5)

A: To determine the derivative using chain rule.

Q: of have Σ f(m). nez ory" + HAIF bo turn food (A-LAI) - (A) A

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Q: f (n) + g(n) = 0(max(f(n), g(n)))

A: Big Theta notation (Θ) :  f(n) is said to be Θ(g(n)) if there exist positive constants C1 and C2…

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: Let T: R³ R² be defined by T (E) 2x1 -2x2 + x3 Ex: 5 +2₂] -3 ---(~- -[:] ·~ -E] ·~ -E] --²-(~-…

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Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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Q: -1 A = 0 2) 0. x)T. F(e,) = ( 2

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Q: Exercise 6: Suppose f and g are functions such that: -3 f = 1, i=7, f = 5, -3 Г» g = 6, g = 3, :-4.…

A: Suppose f and g are functions such that

Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: 8(x) 48. f(x) 2 - x' In Exercises 51–60, show that f(g(x)) = x an dom x - 1 g(x) of 51,fx) = 2r + 1,…

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Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = ,…

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

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Q: lo UcE - Uxx=0 4(x,0) = f(x) 4= (x2,0) = g(x)

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Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: (g/f)(x) f(g(x)) g(F(x)) f-1(x)

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.