A fair coin is tossed 10 times. Use normal approximation to the binomial to determine the probability of getting a. 5 tails b. between 3 and 6 heads

Q: 3. Evaluate 1 2 SSx*y°dxdy 0 1

A:

Q: zn 3n+1 7. 4-2n nニ」

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Q: 6) n - 3 = V 44 – 4n

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 1. Find 2(3z + 4)² dz.

A:

Q: ® Investigate the conurgence of 3. Convergence 2.

A: The given expression is ∑n=1∞n!2en2. We have to find whether the given series is convergent or…

Q: 2sin x + root 3=0

A: To determine the value of x.

Q: dz IV100-49(In z)?

A:

Q: Find a general formula for dr ax + b dx" cx +d

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Q: 4 -512 + 8 dt. Evaluate Vi

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Q: L2 (2² – 2æ) dæ =

A: We have to find the value of the definite integral of the given polynomial function.

Q: 31 Xi + 47 Xz + 14X3 Ex Al+

A: Given: Max z=31x1+47x2+14 x3Subject to; 2x1+3x2+x3≤4 and x1, x2, x3≥0 To find: Optimal solution and…

Q: (-32 - 4z + 7) – (22 - 3z + 7) = -52 - z True O False

A: Combining like terms

Q: Compute A-413 and (413)A, where A = A-413 = 6 - 4 - 3 - 2 4 3 - 6 1 3

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Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

A:

Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.