Thm 3.8 : Assume the sama condittons as in Thm 3.7. The Robin's problem Lu=f, 24 +bx)u = g ond2 has a if bex)>o on ds2 unique sohtton or bex)20 on d2 and bix) E o .

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: EXERCISE 5.7.2. Let S := {(-1)" nez}. Then Acc(S) = 10 11 (0) n. : no 013

A: This is a problem of accumulation points. Therefor it is a problem of point set topology.

Q: If A₁, A, E and P(A) = P₁, P(A)= P₂, show that P(A₁4₂)≥ 1- P₁ - P₂. (Hint: Use DeMorgan's Law (44₂)…

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Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: Show that Sn is solvable when n ≤ 4.

A: Given: Sn. We have to show that Sn is solvable when n≤4.

Q: Kira recelved a S80 gift card for a coffee store. She used it in buying some coffee that cost $7.91…

A: To find the pounds of coffee she bought

Q: 3xt lim x0 5x4 +3x3 + 9x3 is А. 6 B. does not exist С. 2 D. 3

A: Given, limx→03x4+9x35x4+3x3

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

A:

Q: Anikwenie 46. If P(A) = 0.5, P(B) = 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is…

A: Given that P(A) = 0.5 P(B) = 0.40 P(A U B) = 0.70

Q: 2. Assign Hermit's interpokting tolynomial by The fallowingy da ta:

A: The Hermite's interpolation polynomial is H(x)=∑ui(x)⋅yi+∑vi(x)⋅yi'. Here…

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

A:

Q: 14. Show that p q and (paq)V-PA) are equiv- alent.

A:

Q: 34 Apply gaussian quadrature o forrula to evaluate 2 e doc trog lomibsb o caa using four panels…

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Q: 4). Use rules of replacement to prove the following: a). (p^~q) (p^q) = p b). (pvq) →→ r = (p → r) ^…

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Q: Qil classify the following sequncey © {√√√n } Ⓒ [to)" -n²} Ⓒ {²}

A: Given the Sequence: n -1n.n2 n-1n We need to classify the given sequences.

Q: 9. 11 Let a1 = -6 a2 -4 |, and a3 = 11 -3 -4 The set {a1, a2, a3} will span R° unless h =

A:

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

A:

Q: -1 15. Let A = 2 and B = Find X. A. [0 7] c5 기 В. D.

A:

Q: 2.6.49 9- Use - o or 0o where appropriate = JO au pue ane uouny upeo pug (B)-20) (X u O) JAIR-10)

A:

Q: 24. What is the simplified form of (-5x3y)2? 10, F. -10,8 Н. 25 G. -251 J.

A:

Q: Calculate r'(t) and T(t), where = (3t – 8,3 – 2t, 6t – 5). r'(t) = ( ). T(t) = ( ).

A:

Q: 1 If y = itci e? and y(0) = -1 then 1+cq e¬* Select one: O a. 1+ c1 =-1 O b. C = -1 O c. 1+ C1 = 1 O…

A: Given  y = 1/(1+c1e-x) and y(0) = -1

Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A4 (see Table 5.1 on page…

A: Given H = (1), (12)(34), (13)(24), (14)(23) in A4 H =4and A4 =4!2 =12 So , Number of distinct left…

Q: Fulafe the inkegal 7 where Cis the chrele l2-Jilc4 toaverse! anticlockwise: State clearly which…

A:

Q: 12) The value of f, g,f,and g! are given in the table below live f (x) 3. -3 3 6 -2 -1 2. A) Eind h…

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Q: 9. Determining values of d from a graph The function f in the figure satisfies limf(x) = 5.…

A:

Q: Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a…

A:

Q: asing a calculator, express 6(1+ v3)¯² in the form a+bV3, where

A:

Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: Compute the length of the curve r(t) = 8t i+ 8t j + (t² + 7) k over the interval 0 <t < 3. HINT: use…

A: We will find out the required length.

Q: y P(14r-8) (12y)

A:

Q: Fa the stand f tthe tion of ae (-A - - h (-43) and (0, 7). Sameter Qtn 0 v a t

A:

Q: 4.9) Let p(k) = P(X = k) = c2 k for k = 1, 2, 3, and p(k) = 0 otherwise. Find the value of c that…

A: We have given that pmf p(k) = P(X = k) = c2 k for k = 1, 2, 3, and p(k) = 0 otherwise

Q: 8. Approximate 3.9996 using linearization.

A: