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Q: G) Fnd dy by Ruplicit differen tiation X +4x +15 44 -J = 36

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Q: . Approximate (1.999) by using linearization.

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Q: da (c) Use Romberg's method to compute correct to 4 decimal places by taking 1+2? h = 0.5, 0.25 and…

A: Trapezoidal Rule:                                      ∫abf(x)dx=h2[y0+yn+2(y1+y2+y3+...)] Given…

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Q: 10 Use the trapezoidal rule with n= 3 to approximate9 + x* dx. (Round the final answer to two…

A: Solve the following

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A: Given : fx=cx3.29  fy=7fz→1 Then  fy=cy3.29fz=cz3.29 So from (1) we have…

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Q: Find the averags vaha of change ef -+2over achof mal ta) From 2 to D) From to 2 {e) Fiem 0 ta 3 ta)…

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Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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Q: e where r is jiven peu'ametor! Fnd f'6).

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A: I will present e bit for u in the last step....inorder to show u the steps clearly of e bit , I have…

Q: If y(t) = 3t4 40t3 + 126t? – 24 where t denotes time in seconds, %3D - - then find the values of t…

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Q: If z = x2 - xy + 9y2 and (x, y) changes from (2, –1) to (2.04, –1.05), compare the values of Az and…

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Q: The time it takes (in hours) to travel from bridge A to bridge B can be approximated by, T(v) = 119…

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Q: -2€ アラーは)き Vephescuts the Velocity cneasured in meter/second) of an object at tilme t>o, compute the…

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Q: J The time to foilure of a machine hes on osponentil distrikution with meon Soo. Find E(x\x300),…

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Q: find the unKnown X the tow. equal metries atb to 2(646)46 to where a and b are Constantts

A: Do factorisation division to deduce the factors

Q: Q12: use differentials to estimate (26. 96)3

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Q: Q estimate $(126). メ。 8. X3= 16 X=32 '4 by Newton'sinterpolation. 2.

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Q: Q2) Compute y(x) then estimate y '(0.24) -1 y -0.4596 I 1.5838

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Q: ng three vectc V B: 7.5 cm, 0 how that the t is, show tha S. estimate the

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Q: 10 Q5/ Evaluate x*dx ,n 5, using trapezoidal rule.

A: The trapezoidal rule formula is: ∫abf(x)dx≈∆x2f(x0+2f(x1)+2fx2+...+2fn-1(x)+f(xn))...(1) where,…