If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it take the population to double and then triple?

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A: Here I wrote a piece of python code to solve this.

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Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

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Q: 10" An n!

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Q: Consider the subspace U = span{ 8 4. -16 of R. Create a basis 3 -3 {z° for U.

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Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. 2x y = (-2 + 3r)e¯*+2e² B В y = (-1+ 2x)e2* + 2e…

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Q: Are the following statements true or false? + 1. The set (0) forms a basis for the zero subspace. +…

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Q: 0, t 3 (수 + 무),. Oble so ( + ) - e*(; + }) -3s –e -3s d) None of these 3s е s2

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Q: Let E be the region bounded above by z² + y² + z² = 10² , within z² + y² = 8² , below by the r®…

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Q: 2. Determine whether the matrix transformation TA R R is an isomorphism. 1 -1 A = 1

A: We use the definition of isomorphism of linear transformation as in next step.

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A: Given function is fx=−12x−62+5 and gx=14x2−4. The graph of the fx and gx is given below.

Q: Find the area of the region bounded by the given curves. y = sin n y = x² – 6x

A: Area bounded by the curves

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Q: Let -13 -11 B = -30 -25 -20 -15 -9 -7 (a) Find the reduced row echelon form of the matrix B. rref(B)…

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Q: The equation y? + a? – (sin(z))² = 0 represents a surface of revolution. Around which axis was the…

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Q: $90 $27.84 S66.32 $46.8 $38.48 $29.12 $31.24 store's transactions expected value per transaction:…

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Q: What is the expected value of spinning the following wheel? Each sector is the same size. 2 1 2. 3…

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Q: The solution of the heat equation Urr Ut, 0 0, which satisfies the boundary conditions u (0, t) = 5…

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Q: L-1! s+22 s2+2s-8 O a) 4e-4t – 3e2t O b) 4e4t 3e 2t - C) 4e2t – 3e-4t O d) 4e ,-2t 3et O e) None of…

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Q: What is the present value?

A: We have to find the present value.

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Q: 4. Show that the sequence {fn}, where fn(x) = xER 1+n°x*' is point-wise convergent but is not…

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Q: 20 Drag each tile to the correct box. 1 7 A= 5 -2 -9 -3 8 5 1 7 B= 3 15 -2 and [-1 -9 25 Arrange the…

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Q: The function f has a domain of [0,4] and a range of [0,3]. Start by sketching a potential graph of…

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Q: One solution Y1 of the equation ry"+3xy + (1 – 2æ)y=0 about 2 O for x > 0 has the form Yı a) o∞ an…

A: We find one solution y1 of the equation  x2y"+3xy'+(1-2x)y=0.....(1) about x0=0.

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Q: if Eo an is divergente then E,(a„)² is also divergente. 00 00 Select one: O True O False If a, > 0…

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Q: d) An open surface F is given by F = {(x,y, z) |z = 4 – x² – y² , z > 0} . Compute the flux of V…

A: V(x,y,z) = <2x+3y,2y+3x,-4z>F={ (x,y,z) : z=4-x2-y2 , z≥0}Consider, g(x,y,z) = z+x2+y2-4…

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Q: Find a basis of the subspace of R defined by the equation -5x1-5x2+ 2x3 = 0. Basis:

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Q: 2x +y + 6z -7= 0 3x +4y +3z + 8 = 0 x- 2y- 4z - 9 = 0

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Q: Example Hw Consider laurent Series expansions around Zz. of the Bollowing o fiz)> 1-Z

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Q: Are the statements P → ¬Q AR and ¬P v (¬Q ^ R) logically equivalent? Explain why.

A: Let p and q be two propositions.  If the propositions p and q are logically equivalent, then they…

Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, x = ln…

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Q: t iteration us function f(x = 1.

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