20.) Differentiate. f(x) = +3 -2

Q: Find the general solution using the method of variation of parameters. y" + 4y + 4y = 6e-2x

A: We have to find general solution of the given differential equation by using variation of…

Q: 2. (a) Use the method of Laplace transforms to find the solution y(t) of the initial value problem…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: s) Evaluate lim 2-0 2 cos (22³)-2+42° 3x12 using Maclaurin series.

A: We know, Maclaurin series for cos(x) is given by      cos(u) = 1 - u2/2! + u4/4! - u6/6! + . . . . .…

Q: a. Prepare a forecast of sales for each day, starting with F 1=85 and a= .2. b. Compute the MAD and…

A: From given data we have : Turkeys Sold Monday 80 Tuesday 53 Wednesday 65 Thursday 43 Friday 85…

Q: 4. Let r(t) = (t)i + (t-16t²) ; be the position of a particle in a plane at time t. Find the angle…

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Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0sos 2n, and 0 sos n.) (a) (0, 7, -7)…

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Q: Select the correct graph of y = sinx, y = 0.6, and y = -0.6. Figure 1 -1 1.0 0.5 -0.5 -1.0 1.0 0.5 1…

A: The given function y=sin x and the lines y=0.6 and y=-0.6. We have have to sketch the graph of the…

Q: iii) Confirm your total flux calculation by computing the surface integral 2 > - #f. x-nds - Σ //₂²…

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Q: The function f(x) = – 2x + 33x² – 168x + 7 has one local minimum and one local maximum. This…

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Q: The number 1,969,274,050 is between what two numbers in the ten millions? Enter the smaller number…

A: Given question:- The number 1,969,274,050 is between what two numbers in the tem millions

Q: a) Explain what it means, by definition, that a polynomial m(x) € P(R) is the minimal poly- nomial…

A: Definition Let  be a A*A matrix. An annihilating polynomial  (i.e., such that m(x)=0) is called a…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Apply the Runge-Kutta 2nd order method (by hand) to the following equation with a step size of h =…

A: Given the expression is , 100y-700-1200y=250t , y(0)=0.5 , h=0.15  find out the value of y(0.15).

Q: 9. In the figure are represented graphically the function y = f(x) and its first and second Identify…

A: 9. Given is the graph of the function y = f(x), and its first and second derivative.   To Identify:…

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

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Q: Find my error on the solution. Fully explain

A: we will use properties of logarithm to find simplified form of given expression

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: 1. A 64 Įb weight stretches a spring 4 ft. The mass of the weight is (a) 16 slugs (b) 16 kg (c) 2…

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Q: Problem 6 This extreme value problem has a solution with both a maximum value and a minimum value.…

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Q: Differentiate the function. y = (4x-11)2

A: Chain Rule of differentiation : dydx=dydu·dudx

Q: Find the equations of the normal line to the surface z = 3x¹y at the point (-2,-2, -1536) x=2688t -…

A: Given:The surface is Point is Concept UsedThe equation of normal of the surface, Where, is the…

Q: 12. y' + (tan x) y = cos 3 subject to IC: y(0) = -1

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Q: 1. Use the ed definition to prove that the function f(x) = = (a) continuous at z = 0. (b) continuous…

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Q: The graph of the function f is shown below. Which statement best describes the value of f'(-1)?…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral by making an appropriate change of variables. 7 Cos (3 (V=X)) d y + x 637 6…

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Q: Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells 20% of…

A: For the given data, find (a) Construct the exchange table (b) equilibrium price for this economy