Show that if {fn} converges uniformly on {fn} converges uniformly on [a, b]. (a,b) and {fn(a)}, {fn(b)} converge, then

Q: Minimize S = x +y with xy = 25 and both x and y >0. O a. S=S O b. S=5 O. S= 10 O d. S= 25 O e. S=-15

A: We will use Lagranges Multiplier to solve this

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Q: 7. Find the difference between V64 and V63. A. ! В. 1 C. 1 4 16 1 D. 48 E. None of the above

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Q: 5. Prove that arg(z1zz) = argzi – argzz %3D

A: Introduction: For a complex number z=x+iy, where x is the real part and y is the imaginary part,…

Q: Let x be the r.v Such that ECx)=D2 ECx)=2a %3D [2+Qx}?) =2a3 %3D Findthe Value of a

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Q: -2 1 Evaluate dx. 4x2 + 4x + 5

A: This question is related to definate integral. Solve in step 2.

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Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: - 1 Find ²¹ dz x² +C

A: As we know that, The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And use…

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

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Q: 2. 2 in 12 in Vulume

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Q: (1,2) D (1.1) x+3y=7 (4.1)

A: Step 1: the distance between two points is d2=√((x2-x1)2+(y2-y1)2) Step 2: find the distance of all…

Q: 9 = dy

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Q: 5. Save for x T 6. Salve for y. (25y-5 (20x)

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Q: +1 dx -8 Evaluate

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Q: S+1 b. L-1 [+] s3-1

A: Given that L-1s+1s3-1 The formula used are follows L-11s-a=eat The objective is to find Laplace…

Q: =D5 -3x+4y%3D8

A: y=5 -3x+4y=8

Q: Find x, y, z, and w. x 5 (2x - 1) ")- (2x – 3) y 4 4y (w + 1) (3y + 7) X = y = z = W =

A: Two matrices are equivalent when the corresponding terms of the matrices are equal.

Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: x + D = a +d

A: We have to find out the value x

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

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A: Let's find.

Q: 4. √₁² √9-x² dx

A: The objective is to evaluate the integral ∫129-x2x4dx       Integration by parts: ∫fg'=fg-∫f'g,…

Q: %3D

A: Given,           ∫x2ex3dx

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Q: A cashier's daily pay is given by the expression 9h + 25, where h is the number of hou worked. How…

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Q: R=(C-S/t)    S (Business)

A: The given equation is R=C-St. Multiplying both sides by t, R×t=C-St×tR×t=C-S Subtracting both sides…

Q: Macmillan Learning Express the integral RxdA as an iterated integral using polar coordinates if R is…

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Q: 2) y = 3tan 3 - -2 3n 27 5n 3n 7 47 9n

A: Given query is to graph the function.

Q: d 0.6 56. 2.8x -3. dx

A: Differentiate

Q: 2. Find b such that dx 1+x2 3

A: