11. Suppose a population grows according to a logistic model with initial population 300 and carrying capacity 9,000. If the population grows to 1200 after two years. How long will it take for the population to increase to 6500? Round your final answer to two decimal places. Write Answer In Simplest Form And Show All Your Work.

Q: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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Q: log x² loga +log(xy)² +loga (*)-( log x loga xy • a, x and y are real numbers that are greater than…

A: Given that logaaxy+logaxy2+logaxy-2logxloga-alogax2Solution :logaaxy+logaxy2+logaxy-2logax-x2logaa…

Q: 3. Worldwide annual sales of smartphones in 2013-2017 were projected to be a 9--10p+4,360 million…

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Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force…

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Q: 15. Find the inverse of matrix A. A = 38 26

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Q: Find the area of the region bounded by the curves y = x² and y = - x² + 4x. 9/4 11/3 12/15 8/3 none…

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Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

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Q: Calculate √-3 + 3i. Give your answer in a + bi form. In polar form, use the angle 0 ≤0<2m a = b=…

A: Topic:- complex number algebra

Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: An investor has p1,000 income from bonds bearing 4% and 5% if the amount at 4% and 5% where…

A: Topic:- algebra

Q: Express the Cartesian coordinates (0, 4) as polar coordinates. (4.7) 0( ) 3개 01.2) 아이플)

A: From cartesian to polar coordinate we the following formula x=rcosθ   and y=rsinθthen we get…

Q: Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

A: I have stated the used properties in the solution

Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: Q1: If y=sint and t= sinx, then at x = a) 0 b) c) cosl 2 dx d) -cosl e) others

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Q: Find the area bounded by the curve r = 2-cos 8.

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Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: 4.² / S² p² sin & dp do dº JTT/2 J1

A: To sketch the region of the integration.

Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations…

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Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: h(x) = [(x − 3)√6x − x² + 9 sin¯¹ (x-³)] g(t)e-2t (1+e-2t)-1/2

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Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab

A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…

Q: Find the solution by using Solution of 2nd order D-Es me x ý XỨ Tỷ - xy + y = Lnx -

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Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103

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Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

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Q: Find the area bounded by the curve r = 2 - cos 0.

A: The equation of curve is given as , r=2-cosθ Find the area bounded by the curve.

Q: B. y = Inx and x - y - 4 = 0.

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Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

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Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: Find the area bounded by y=-x²+1, y = − 2x+2, x=-2, and y=2 (A) 1/3 None of these B) 16/3 D) 4/3 E 5

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Q: (-1)kk Determine whether the series converges absolutely, converges conditionally, or diverges Σk=1…

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Q: dx ex+e-x 2. S dx

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Q: 4 + 5x² 4x + x³ dx

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Q: L 2 + 1 s(s − 1)(s + 1)(s − 4),

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Q: 8. NE x²+x² tan² (4x³) tan² (47x³) 2] dx

A:

Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: R is the region bounded by the functions f(x) = and g(x) = -4+. Find the area A of R. Enter an exact…

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Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…

A: We can set up the triple integral.

Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…

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Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(n) = 0 if n= d)5 e) others

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Q: J udv = uv J to Explain why the substitutions below are inappropriate. Let U = eª and 1. Suppose we…

A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…