40! p(X =x)= P)" (q)** ,x =0,1,.,40 x!(40 –x)! : A V(x) q =0.1 i 2.5 1.4 3.6

Q: 5) — = [(-D)" (2-1)", when 12-1}<1. n=0

A: Introduction: A geometric series is a type of series which is in the form as follows:…

Q: Evaluate: L(e* -3t * sinh 7t).

A: Given: Le-3tsinh7t

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Which equation represents the following function? р (4, 18) (9,3) q

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Q: pk Ph (x)=k! T(m-k+1) (k+m+1) m X \x X

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Q: Let f(z) = 10z + 6 %3D f (z) = Submit Question

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Q: For each statement, either prove that it is true or come up with a counter example N(ATA) = N(A) ● •…

A:

Q: Ex: 5 R T Ex: 5 R (ED) -¯¯ T (ED Т 4 -2x1x₂x3 x1 + 2x3 Ex: 5 Ex: 5

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Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

Q: The number of representatives of a political party, N, in a city council depends on the percentage…

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Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

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Q: COSZ 2) if Res(f,x) of the function f(2)=- a) -3/8 b) #-6 2ti c) 1/e d) 8/5 -is

A: To find Resf, π of the function fz=cos zz2 z-π3.

Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: Let 7(t) = VE + 4, cos(t), te-'> (t*), te¯t >

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Q: If I (F14)- s²+1 SO is given by? a) V(s? + 1)³

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Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: x(n) = (0.8)" (-n-1) 1-(00) O 2 O otherwise -1 1-(00) 1-(08) +1 0 4JA O 3 JA

A: Topic:- z transform

Q: M0 Sketching Graphs Functions In Exercises 9-12, sketch the of Quadratic M graph of each quadratic…

A: 12. (a) The graph for the function y=x2 is the parent curve for the given quadratic function. Plot…

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: 49

A: ln4te6t

Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

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Q: O Deltarentiatk with respect () Singe (X+1) (x-)

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Q: dx (1)(- 2e * )

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Q: Let f(x)= x³+1. Then (fof)'(1)= O 20 O 36 O 3 O 9

A: Please refer to the image below

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: p(+) = + = Find P (Q(+) P(Q(r) Q (t)=1 ++1

A:

Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

A:

Q: 22. Find f/(x) and simplify 1 -1 a) f(z) 3-52+1 3 b) f(x) 1.8Vc) f(x) = 32

A: Given, functions

Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: The function given to us is as follows: fx=x+1x2+1 at  x=0, 3 We are asked to find the integral of…

Q: SAT scores are normally distributed with mean = 1000 and standard deviation σ = 200. 15) Take a…

A: SAT scores are normally distributed with mean and standard deviation :mean = 1000standard deviation…

Q: 3. If L{F(t)}=f(p) then L{F(at)}= (a) f(2) (b) 음/ (B) (c) af) (d) 금f(ap)

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Q: Prove: If |S| = n then |P(S)| = 2^n

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Q: Q5// If P(A)=P(B) = P(B/A)=, find: 1. P (ANB) 2. P(AUB) 3. P (AUB) 4.P (A/B)

A: Solution

Q: Prove: for n > 1, F; – Fn+1 Fn-1 = (-1)".

A: F_n are the Fibonacci numbers which are defined by F_0=1,F_1=1 and F_n = F_{n-1}+F_{n-2} for…

Q: Evaluate (go f)'(8) - given that: f (6) = 7. f'(6) f (7) = 8. f'(7) 6. f'(8) 6 f (8) 8, g'(6) 7 g(6)…

A:

Q: (4₁1) 6-₁2) after reftextion X=3 more (21,1) (11) clear (32) here пен

A: Reflection is a transformation that has a mirror image about a line as a two-way mirror .