o ]x – 312 – 4|x – 3| = 12

Q: Evaluate ff, x² In(y + 1) dA where R = [0,1] x [0,1].

A:

Q: Which one of the following is the domain D for ƒ(x, y) = ln (x² − (y − 2)²) ? Select one…

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Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

A:

Q: 2. s - [GpAq)Ar] = a. 7 [(pV7 (qAr)) As] b. (pV7 (qAr)) As с. (pV (qAr)) d. None of these

A: The given question has been solved with explanation in step 2.

Q: Let f (u, v) = (tan(u - 1) - eº, 7u² − 6v²) and g (x, y) = (e8(x−y), 8 (x − y)). Calculate f. g. - -…

A: Given,      f(u, v)=tan(u-1)-ev, 7u2-6v2, and g(x, y)=e8(x-y), 8(x-y)

Q: Let f(2)= ¹5 and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of…

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Q: Find the g.c.d. in Z [i] of 2 and 3+ 5i.

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Q: (1) Find an element r E D4 such that DaH R90 = V. %3D

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Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: Evaluate (a) Ex=0 Xp(X) and (b) Ex=0 X² p(X), where p(X) = (Np°q\ -x. %3D

A: The expectation of a discrete random variable X is a measure of central tendency of the probability…

Q: x=In i y=r2, find y " when For x=0• O 8 O 4 O 16 O 2

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Q: All are allowable values of x in y=(1/2)secx except. a. -2π b. π/2 c. 0 d. π

A: option(b) is correct

Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: Q53- X--) (xij-Xi - X.j+X)=Zero 13D 「に )に prove that e to

A: We need to prove the given equation.

Q: Find the g.c.d. in Z [i] of 2 and 3 + 5i.

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Q: Given that 32a × 11º = 274x × 332× express a in terms of x?

A: Find your answer below

Q: Which of the following statements are correct? (Select all that apply.) 0° =D1 %3D а O (xa) = (xb)ª…

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Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

Q: There does not exist r E Q ə r² = 2 ylgn ihi

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Q: r* – 2 Show, using the definition, that is O(z²). z +1

A: Here, To satisfy the definition of O(x2), we need to find an appropriate choice of c and k.Let’s…

Q: Find y' in x² + y2 = 9. O O 9 -3 y X

A: To find the second order derivative.

Q: Q3) If f(x, y²) = x² + y? + Vxy find : af (x?y) and L(x?y) ду ax

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Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: Find x for which det(A)=0 7-x -2 A = 1- x 0. 5- x The sum of the answers is....

A: See the detailed solution below.

Q: Find the g.c.d. in Z [i] of 2 and 3+5i.

A:

Q: Find a, b > 0 such that the following equality holds: {r €R : -a < br – 3 < v2} = [-3, 3).

A: Note the result : The set can be represented in interval form as .

Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

Q: C6. You h drinki a. Ac sam as t Con b. You seve coni the of a

A: a. As the sample size is really high, we can assume the z distribution. The value of z at 95%…

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: V Show a c om le te solution 1/ 7 - +2

A: Given: -

Q: If y = exp(-x²) show that = -2xy and hence prove that, for n > 1, y(n+1) + 2xy(") + 2ny(n-1) = 0.…

A: Given that : y=e-x2. Therefore,  dydx=ddxe-x2=e-x2.-2x=-2xy  , as y=e-x2. Hence proved that…

Q: Find x E R that satisfies -2 , – 02 + 2 vz U2 det = x det + – ö4 2 0 + 03 U3

A: The key concept to solve the given problem is that : The determinant of a matrix remains unchanged…

Q: Which of these is a possible solution for cscx + Oin the interval 0 < x < 2r? O x = 3 O x = 3

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Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: 1 f f(x) = : R → R, Vx2 – 4 At how many different integer points x is discontinuous? 25 - O A) 3 O…

A: We have f(x) = 1x2-4Clearly f(x) assumes real values for all real values for all x except for the…

Q: Q3) If f (x, y²) = x² + y² + Vxy find : af(x².y) and f(x?y) ду ax

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Q: If x – y = 4 and xy = k what exp ression is equivalent to x² + y² ?

A: We have, x-y = 4                           ......1xy = k2                             .......2 To…

Q: is given by (X – Y) ± Z V where Z. is a real number such that PİZ > 7.) 4 for Z ~ N(0, ).

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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: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: In OJ, GH = 9, KL = 4x + 1. Find x. R 7. G 5' 5.

A: The objective is to find the value of x

Q: Vx Sn(l+x*) de 23/2

A: Using the substitution ... Explanation of the solution is given below...

Q: - (3x + )*. Let y Then - A(Ax + +)" (8 -)", where B dy = Al 8x + xp A = B = C = D = I| || ||

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Q: for a>0 is defined a n(x² + a²) and sin ax = (x)"6 prove that la * fb = fa+b and ga * 8b =gmin (a,b)

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Q: ne order suc e of [det(A²I

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Q: Which of the following conditions is sufficient to guarantee that integers x, y, and z satisfy the…

A: x(x-y)+y(y-z)+z(z-x)=1 Put all the given conditions and check which one is valid.