Determine whether yy00 ory-y – ∞ as x-7-a∞ Ond x-7∞, 2 =x=-4x²-4x-8

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: Q2) Is the ODE separable or non x² + 3y2 d, d, 2xy O no none of others O yes may reduced to…

A: Given query is to find the differential equation separable or not.

Q: 3. Find and sketch the domain of f(x, y) = In(9 – x² – 9y²). [Hint: In(x), x > 0]

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Q: Show that the IVP x" = -6x(x')3, x(-1) = -1, x'(-1) = 1/3, has a unique solution x and find the…

A: Consider the given equation. x''=-6xx'3 And the initial values are x-1=-1 and x'-1=13. Let the…

Q: Consider the funciton f (x) = -(x – 1)²(x + 2)³ (x – 3). 1. 2. State all zeros and their…

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Q: Let a be a constant. Given that 3x In(ax)dr = el² ( 12 – 3 * (12- )- -23 find In a. 3 %3D

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: A) Let f: Z→ N as follows: 2n – 1 for n > 0, - f(n) = -2n for n < 0. Show that f is a bijection.…

A: Bijective function

Q: 5 Prove for Vx > 0 0<1+x - 1 x + - 81 1/9 1/3

A: Prove for ∀ x&gt;0  0&lt;1+x3-1-x3+19x2&lt;581x3

Q: 4 Lonsider the functlan fx)= -5x4- |l+x?tx-17. functfon Fex)= -5xH-|l+x²+2x-17. 5xH-113+ Whatis r n…

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Q: Q3)b) Use Taylor theorem to show that 2x-2를 <2 sinz <2z-2% +2를1

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Q: Find Valume x zO; Ekort the X3D2; 0 about the x- axis

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Q: 29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

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Q: Q\ Determine a condition on |x - 1| that will assure that * 1 |x² – 1| <

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Q: 5. Check the continuity of r+5| 2x+10 x + -5 f(x) = x = -5 at x = -5.

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Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: Compute the subdifferential of f(x): R->R f(x) = x^3 + |x+1| + |2x-1||

A: Solution:Given  f(x)=x3+x+1+2x-1To compute the subdifferential of f(x)

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: Find all the orginal funchians of the funckion fryl=2y (y-s)²

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Q: Show that when x increases from 1 to 1.25 and when it increases from 2.75 to 3, the value k of grows…

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Q: 2. Transform this LP into its DUAL counterpart. min 3x, + 2x2 - X3 subject to X1 + x2 = 5 -1 < x, <…

A: Transform this LP into its DUAL counterpart. Our problem can also be viewed as,   MIN  3x1 + 2x2 -…

Q: 4cos20 + 2/3 = 0 on the interval[0, 3t]

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Q: b-a Use the theorem (≤ ɛ) to find a bound for the number of iterations needed to achieve 27 an…

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Q: Q1) check the continuity of fX) at X- -1, 0,1.23 -1<x<1 2x-1, 3x-2 25x53 2, x=3

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Q: Find the nverse 2 -1 2 A =|1 0 1 f it enists. 0 3 -1

A: The given matrix is A=2-1210103-1. To find the inverse matrix, augment it with the identity matrix…

Q: Q 4. (a). Show that limit *1, does not exist if (5-4x S(x)=. -)- {ax-2 for x <1] for xz1]

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Q: 3. Show that f(2) = (z+ 1)³ – 3z is nowhere analytic.

A: The given function is, fz=z+13-3z The function z is given by, z=x-iy Substitute values in above…

Q: 5. Find all pairs (m, n) of positive integers such that y(y(nm)) = n, where p is Euler's totient…

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Q: Evaluate the integral. 1//3 - 8. dt t4 - 1 Jo

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Q: - Give the domain for k(a) in interval notation. x2 + 3x +2

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Q: Find the maximum value of |2iz+ 3| on |z| < 1.

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Q: 21. Discuss the continuity of : 1 x + for x 2

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Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Find the domain of r(t) = vt2 – 9i 1 j+In(1 – t)k. t + 4' O (-0, -4) U (-4,-3) O [-3, 1) O [3, 00) O…

A: The domain of t2-9 is t2-9≥0 or t2≥9 or t≥3 or t≤-3The domain of 1t+4 is t≠-4 (because denominator…

Q: From pde by ellminating arbitrary funcation F(x²+y²+z²,z²-2xy)=0

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Q: 4) Show that and are eventually fixed points for the function : 8 4x Osx< 2- 4x sx< f(x) = - 1 4x –…

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Q: 10. Find all of the discontinuities that exist for g(x) = 2*+3x-4 Show any work required to %3D x+1…

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Q: 2/3 of f(x) = (x²4)73. (b) Find all critical nurabers

A: There are multiple question. As per company policy kindly ask other question separately. b.

Q: Find the instantaneoui rale of change of the funclion at the specieled value of X, f(X)=X2-3; X= - 2

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Q: 1 Find "(x) if Ax) -. %3D X+1. 1 (x+1) (x+ 1) -2 (x+ 1)3 12

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Q: Find the field of quotients of integeral domain z[i] and z[√2]

A: We will solve this question using basics of ring theory and just the definition of Fields and…

Q: Let /(x) – x + 2x+ 3x + 4 € Z). Then x = -1 is a root for /(x) of multiplicity None

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Q: 5. Determine the Wronskian of the functions (x)=x2 and g(x)=3x2. For what values of x is the…

A: Please refer to the image below

Q: Discuss the continuity of : 1 for x 2

A: Continuity

Q: B.Discuss the continuity of 1 x +- for x <0 y = -x3 for 0 < x < 1 -1 for 1 < x

A: The objective is to discuss the continuity of the given function.

Q: 3 Q7- Let fw=ex-y, Find a fun ction y =gcW So that f. 9) (x) = X+ 2 .

A: Given f(x)=2x3-4 To find a function y = g(x) such that  (fog)(x)=x+2