Assume that after w months, butterflies’ populace in 1000 is calculated as: f(w)=12w+cos⁡(16w)+n×100 Find maximum and minimum populace in 1st five months. Where n=824

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A: Solve the second-order difference equation:                      yk+2-6yk+1+8yk=2+3k2-5.3k Find the…

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A: Solution: Let Z be the standard normal distribution.

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Q: П. Solve xау + (3х 2y)ax = U in two ways

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Q: wouldn't there be a t in the second term of the general solution?

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A: 2014 means x=14 So 2022 should mean x=22

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Q: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

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Q: Give a counterexample to show that (AB)-1 =/ A-1B-1 in general.

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Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: 14.Show that any separable equation M(x)+N(y)y′=0 is also exact.

A: Given: Mx+Nyy'=0

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Q: X, t 2 X, < 22 X,t 3, 2x x, Z12 + 2xa=32 maxlimzed by 2=5x, t10x2

A: The solution of given linear programming is given by using graphical method :

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Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

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Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

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Q: 12 of 25 Solve for x: V3x +6 +V4x – 5 — 5 3D 3 x = – 74+42V3 x = 74 +42V3 x = 74 – 42V3 x = 74 +42V3

A: Given:- √(3x+6) +√(4x-5) =3  To find:- Solve given equation for x

Q: Find mZF. 4/30 G 4/30 E mZF %3D Submit

A: We have to find the angle

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Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: Compute 6x3 + 4x2- 7x + 40 dx. x2 7. 80 + C x2 40 3x2 + 4x- 7In|x| + + C O 18x2+ 8x-7+C 2x 40 O 3x2…

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Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

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Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

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Q: Solve: 3ln( -1)-In(t +1)?

A: We need to simplify the given expression. 3lnt2-13-lnt+1

Q: Exp (tr/0.32) MT BF due to tr : (9.6X1018 )x 250x106 x1 fose T 0.3ns - TrE 14:99 N 151(D-flip flop…

A: the first step is MTBF=exptr/0.37n9.6×10-18×250×106×1 given tr=14.99≈15n substitute the values…

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Q: Use Cramer's rule and solve 6x-4z=26 7x+8y+5z=122 9x-9y=54

A: Use Cramer’srule and solve.

Q: Differentiate : a. y= In(2x^2 +4) b. y= In(ax^2)

A: Differentiate (a) y=ln2x2+4 (b) y=lnax2

Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

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Q: Find the sum of all the critical numbers of f(x) = 2x3 +3x2 – 36x +8 -

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Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

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Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

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Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

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Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

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Q: A culture of bacteria has an initial population of 92000 bacteria and doubles every 7 hours. Using…

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Q: Prove that y = e-3* (Acos 5x - Bsin 5x) + Cx; A, B and C are arbitrary constants will equalto y"(17x…

A: Given,            y =e-3xAcos 5x -Bsin 5x + Cx

Q: 7. Find mzV. V -27+10x=D29tda K-2x W (2x + 29)° ー +8メ= 091/10x-27) et 8x=56 8.50 メ=7

A: The given figure is of the parallelogram. And given that m∠W=(2x+29)°, m∠Y=(10x-27)° Note that, the…

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Q: 4- Fct) = Sint ost<T くもく2

A: We have to find the Laplace transform given step function.

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

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Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.

Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

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Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

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