-a = Y express L and K as expressions of

Q: 18. Solve x?y" + xy' +y = In(x),(x > 0

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Q: Let α(x) = ex2 . Verify the identity (α(x)y)' = α(x)(y' + 2xy) and explain how it is used to find…

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Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: if J. x-2x then j(3) is:

A: Here given that                         y(x)=x2-2x  ..............................(1) we have to…

Q: if f(x1,x2) = e-*-*2, 0 < x1 < o, 0 < x2 < o, F(x1, x2) = e-Xie-x2 + e-X2 True False

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Q: x² > 0 if and only if x > 0. True False Cannot be determined

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Q: True or false? As x→∞, x = O(2x)

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Q: 2. Let h(x) = |9 – x²].

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Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x&lt;-2  -(x+1)2 +1            if -2≤x&lt;2  -14x…

Q: 11 Compute x2+ where x =i- 1. Answer: 2.

A: We have to find the value

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: (In x+2) Simplify further as, + In x

A: We have to simplify the given equation.

Q: Since u = x, then converting back to an expression in x we get

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Q: 1 Given that x 2 Vx, express 4* + 4* as a single power of 4.

A: We have to express 4x + 4x as a single power of 4.

Q: Show that when |+ 1|<1, = =1+E(n+1)(=+1)"

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Q: Determine the values of h (1) and h(0) if it exists.

A: The given function is as follows.

Q: – 10x J (2x – 3)(x + 5) 11 - - Evaluate + C

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Q: express J , in term of J 1 2 2

A: Use the standard results of Bessel functions to solve this problem.

Q: ind value r(x + 2)

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Q: Express in lowest terms. x+ x* x - x+ 1 ) 1+ x? O x(x + 1)

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Q: If x1=2, Xn=4X(n=1)–4n Vn22. Find the general term xn

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Q: TRUE/FALSE If A = A−1, then A must be equal to either I or −I.

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Q: If x= 2, y=-3 and z= 4. Calculate the value of each of the following alegebraic expression: xyz^2+…

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Q: 1. Show that (a) exp(2±3лi) = -e²; (c) exp(z+лi) = - expz. πί p ( ² + 7² ) = √ = (1 + i); 4 (b) exp

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Q: of t/4 for x. (If an answer is undefined, enter UNDEFINED.)

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Q: Find positive integers that satisfy x + y + z = 6 x + 5y + 8z = 35 x = i ! y = i

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Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: Evaluate e dt 0.2

A: We have to use standard gamma integration here.

Q: xsin x x* + 1 xp -

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Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: What is/are X-value(s) in ex2-3x+2)= 1? 1 (2,1) none of these O O

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Q: Solve for x in √x + x^√x =18

A: Given, x+xx=18 we have to solve it for the value of x.

Q: -(b): Evaluate: (t + 4)(t + 4)dt.

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Q: 17. Find all values of where x? – 6xy+ 8y² = 0, and x # 0.

A: we have x2-6xy+8y2=0, and x≠0 Now,  x2-6xy+8y2=0x2-2xy-4xy+8y2=0xx-2y-4yx-2y=0x-2yx-4y=0

Q: H PROVE : กะ1 [-¹-², ¹+ ²] = [1,1] 1 t

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Find x. 2. 7 Mathilits.comn 4.

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Q: 10. If h(x) = In(2 – 3x)5, find h' (0) - А. В. 15 С. 2 D.

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Q: 1 The x value(s) if 2**z = 128*

A: We have to find the value of x for the given equation: 2x+12=128x We have…

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

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Q: It is possible to rearrange the expression ax² + bx + 1 x +1 into the form T Rx + S + х+1 where R, S…

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Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: (f*1)(t)=1 Select one: True O False

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Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: suppose X=N(10, 1.924)Pr(X is less than or equal to 8.5)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: Let X- B(25,0.2). E(X²) =

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Q: Prove that the value of the expression (а — 1)(а — 3)(а — 4)(а — 6) + 10 is positive for every a E…

A: The critical points for the function are the set of values where the function attains its maximum…

Q: Q4/ If A = 3 - l: prove A-A-5I = 0

A: Given that: A=213-1

Q: re + e Show that 1. 2

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Q: 3- solve the following ODE with Finite difference y"+y y(0) =0 y(1.5)= 4 Ar = 0.5

A: Consider the provided question, y''+y3=xy0=0, y1.5=4∆x=0.5yi''=-yi3+xi                   ...1 x…