Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: Express ∂w/∂r and ∂w/∂s in terms of r and s if w = x2 + y2, x = r - s, y = r + s.

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Q: F= [y°, 2², x²], C : r= [3cost, 3sint. 2t], 0 < t < 4n

A: Given that F=y2, z2, x2 and the curve, C, such that, r=3cost, 3sint, 2t for, 0≤t≤4π. Differentiating…

Q: If u = a + j13 and v = -11 – jb, calculate Im(u + v).

A: Add the two complex numbers then write the imaginary part.

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3u + 2x = w − v

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Q: Prove V²f(r) = d²f dr² + 2 df r dr

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Q: Find all values of n such that y = xn satisfies…

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Q: Express the following as a linear combination of u = (2, 1, 3), v = (1, -1, 4) and w = (3, 2, 6).…

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Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

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Q: Express the following as a linear combination of u = (2, 1, 6), v = (1, -1, 4) and w = (10, 2, 6).…

A: We have to find out

Q: Let A = {x E Z: 8x} and let B={rEZ:12lx}. Then * ACB ВСА None of these A=B

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Q: Show that Plx-1,y) = A(x, y) X+ y-1

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Q: Let ƒ(x, y) = 4x2 - 9xy + 6y3. Find ƒx (x, y) and ƒy (x, y).

A: To find the derivatives.

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + 3v = −2u

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Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = &lt;3, -5, 10)&gt; b = &lt;1, 5&gt; v = &lt;2, 5&gt; w = &lt;2, 1&gt;

Q: QZ. Let fla) =8-6tx Then the empression: %3D flxth) -fGa) |

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Q: Use f(z)=1imf(z+AZ) –fC2) AZ to Prave that -1 when w- Zキ0

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Q: n = 29, x = 2,331, x2 = 191,077, y = 2,128, y2 = 161,876, xy = 174,226 Ξ ху — η (Σxy ) -(Σx ) (Σy)…

A: Given Information: n=29∑ix=2331∑ix2=191,077∑iy=2,128∑iy2=161,876∑ixy=174,226 Correlation coefficient…

Q: Find KL and KN

A: We will solve the problem

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

Q: ... Solve for w where u = (-1, 1, 1, 0) and v (-1, 2, 3, 0). 3w = u- 4v W 3=

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Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + u = −v

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=?

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Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). 1/2w = 2u + 3v

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Q: Verify that ||v-w||^2=1 when ||v||=2, ||w||=1, and v*w=2

A: By the definition of inner product and norm we can derive the following formula : ‖u-v‖2=⟨u-v,u-v⟩…

Q: = (bj) be the ijs 3. If the Lt of BT is

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Q: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: which property is t=u+v u=9 and v=10 therefore, t=9+10=10

A: According to this property, when two numbers or integers are added, the sum remains the same even if…

Q: (c) Show that |(−1,1)| = |R|, where (−1, 1) = {x € R : −1 < x < 1}.

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Q: Find for z = for z = ex-y Əz Əx

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Q: х - у х-2 У — w 0 0 y - w w 0 8 (х, у, 2, w) %3D

A: The given matrix equation is, x-yx-zy-ww=0008 This, matrix equation results in the system of 4…

Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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Q: rる= く6t, 32も,2>, Fiup もる エF TE AND WHEN t=1. AND

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Q: If W = 2x 2 + 3xy2 - 20y-2+ 6u; where x = 5u2 +4v 2 and y= u - 4v3 , find §W / §V.

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Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

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Q: Let X-(1,0,- 1,-/2)'. Then, ||X||∞ =V7 %3D Select one: O True False

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Q: S (sec5x – tan5x)sec5xdx - Select one: O a. (tan5x - sec5x) + C O b. (tan5x – sec5x) + C O c.…

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Q: For u =(5,-5) and v = (-3, 2) find u. v. u v = 2.9 u•v=

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Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: Let Compute θω -(2, -3) = 28 მs дw -(2, -3) = Ət w = 4xy-yz - 3xz, x = st, y = est, z = ²

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Q: If f(z) = z² - (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

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Q: If u = -2i - 2j and v = 6i + 7j, find u - v.

A: We can solve this as follows:

Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &amp;  v·v=10

Q: (b) If y=ae", express t in terms of a and y.

A: