H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

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Q: Find curl (4zi + 5x j + 6yk). url(4zi + 5x j + 6y k) = (i )i + (i )j + ( i

A: Topic:- vector algebra

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Q: 8. Show the following limit does not exist: ay +1 lim (au)-(1,-1) 22²-2²

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 ^{2} [

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Q: Find the logistic equation that satisfies the initial condition. dy 11y y² (0, 44) dt 20 1440 Use…

A: The logistic equation that satisfies the initial condition. dydt=11y20-y21440, 0,44

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A: Note that, the volume of the sphere is given by: V=43πr3 So,  dVdt=43π(3r2)drdt⇒dVdt=4πr2drdt...(1)

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A: Topic- Functions

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Q: 45-50. Approximating real numbers Use an appropriate Taylor se- ries to find the first four nonzero…

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Q: Consider the graph of the function g given by g(x) = n(x2+1) for 0 0. 0.81 0.6 0.4 0.2 0 20 40 60…

A: Given data:- The given function, g(x)=ln(x2+1)x         for (0<x)

Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (6 + s)i + j K= eBook

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Q: Question Define R as the region bounded by the functions f(x) = ez and g(x) = x² between x = 0 and x…

A: The objective of the question is determine the volume of the bounded region.

Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are 2² (6-³) and s-a y(t) (sa)² +…

A: Given :y'+y=e-6tcos5ty0=0L-1s-as-a2+b2=eatcosbt and L-1bs-a2+b2=eatsinbt

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Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.)…

A: laplace transform

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A: Solution h(t) =A sin(Bt - C) + D Given: h(t) = 51 + 49sinπ13t-π2

Q: a)lim              (e^-x)(x^2+sinh(x+2))    x->∞   b) Find the point where the tangent to the…

A: find limit solve the parametric equation

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Q: Find the exact value of the trigonometric expression given that sin(u) = - sin(u + v) Need Help?…

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Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: 7 Find f(x) if f'(x)= and f(1) = 4. X 7 --x-3+19 O B. f(x)= -28x-5 +32 7 O c. f(x)= 3 O A. f(x) =…

A: As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: f'x=7x4 So, we can also write as;…

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Q: Find Vy where = (x² + y² + z²) e¯¯ √√√x² + y² + z ²

A: Given :ψ=x2+y2+z2e-x2+y2+z2

Q: a f'm f(x) dx for the function f(x) graphed below. [Hint: No calculus is necessary-just as we used…

A: We can find the value of integral  of a function f(x) by using the area under the curve f(x).

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

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Q: Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select…

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Q: Find the directional derivative of the function g(x, y, z) = xye² at P(3, 5,0) in the direction of…

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Q: dr a) -sin³ x b) sin² x Q7. Find the range of the function y= a) x>0 b) x 3

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

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Q: 5. Use Newton's method to find all four solutions of 4z cos(2r) - (r-2)2 = 0 in [0, 8 accurate to…

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Q: Write the first five terms of the arithmetic sequence defined recu = 2.5, a 0+1=3 +0.75 (0 82 N 33…

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Q: 7. Choose the appropriate table for the differential equation X y ଶ୪ X y dx X Y -201 -4 1 2 2 -1 -1…

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Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given functio 5s² - 10s + 50 s(s² +25) Your…

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Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" -y - 2y = sin(4t), y(0)…

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Q: Problem 4.14 Find f if 3 f"(x) = 20x³ - 12x² + 6x

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Find the equation of the sphere of radius 8 centered at (1, 3, 6). O x² + y² +z² = 46 O x² + y² + z²…

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