5) 8 yd 7 yd 3.5 yd- 4 yd 3 yd

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Q: Show that the differential equation dy -2 - yezy dr rezy – 2y is exact and find its solution. 3.

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Q: Find the first derivative at x=2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

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Q: 5. Use the Rational Zero Theorem to list all the possible rational zeros for each polynomial…

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Q: the given exponential function to the form indicated. Round all coefficients to four significant…

A: Given,                     f(t)=17(0.915)t                    ...(1)   and      f(t)=Q0e-kt…

Q: (q) (1 - ху) + (ху-х?)у' — 0

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Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

Q: 10. A sequence is given by the recursive definition bn = 4bn-1, bo = 3. %3D a) Find b1, b2,b3 b)…

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Q: Evaluate e dV where E is the region within the cylinder x? + y² = 2 bounded above by the paraboloid…

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Q: -3u Let z=sinh-(y-2x), where x = we and y3= dy3In then is given by ди OA -3u 6we 3u 1- (y-2x)2 В.…

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Q: show that Hhe i'ntegraL equation g(s) -d scsinssinzt) g() 2t has No eigen values.a

A: The details calculation is given below

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Q: Q4/ Solve the differential equation dy b) = v1+ sinx(1+ y?) when y(0)=1

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Q: Ex. 6 If y(1)=12, y(2)=15, y(5)=25, y(6)=30 find the value of У(4) %3? 1 5 y 12 15 25 30

A: Legranges interpolation, to find the function value at point

Q: 3. Consider the partially decoupled system dr (a) Derive the general solution. = 2r - 8y dt (b) Find…

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Q: 4. This question asks you to find an integral using Riemann sums. Recall from lectures, that a…

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Q: 6- Give ā = [A, B]and b = [F,E], find VProj(b onto d) and SProjd onto b). Resolve a into…

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Q: In figure 8, water flows through a 6.0 cm diameter pipe at 8 cm/s. The pipe then narrows downstream…

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Q: 4. Solve the following differential equation dy dr TMUTM

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A: Solution :-

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Q: 10. Use the Upper and Lower Bound Theorem to find the least positive integer and the greatest…

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Q: Question 4 Use Laplace transformation method to solve the differential equation y"-3y' + 2y = e2t…

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Q: Find a possible formula for the function in the figure below. P = (0,2) Q = (8,0) ) -16 -12 -8 12 16…

A: Given is a figure of a function   Given that graph of the function passes through P(0,2),  Q(8,0)…

Q: Solve the following Initial Value Problemsing Laplace transform: y" – 16y' + 15y = e 10t ; y (0) =…

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Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

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Q: Using the Laplace transform method, solve for t> 0 the following differential equation: d²x dx + 5a…

A: Given second order differential equation d2xdt2+αdxdt+βx=0 Solution of a differential equation…

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Q: Q2\Consider the curve given by f(x) = x3 - x +5 %3D a)find the equation to the tangent to the curve…

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Q: - - - -8 and a. Find the area of the parallelogram formed by u and v. b. Find the volume of the…

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Q: O O o O C оооо о ооо о о O o o o o o o o o § Given sec t 17/8 and angle t is in quadrant IV, match…

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Q: Exercise 3 Consider the following matching problem between 4 men and 4 women: wi : m1>m2 > m3 > m4…

A: Given: The matching preference between 4 men and 4 women: Women: w1:m1&gt;m2&gt;m3&gt;m4…

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A: Solution :-

Q: 1.0 -5 -4 so 4 – x for 0 Bn sin x). n=1 S(1) = • S(-2) = S(6) =

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Properties of integration  ∫xndx=xn+1n+1+C∫sinxdx=-cosx+C∫abf(x)dx=F(b)-F(a) where F(x) is anti…