Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there are 1500 bacteria present initially and the population tripled in 2 hours, how many bacteria will there be after 3 hours?

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Q: 3) What is the square root of -5?

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Q: Determine if the vector field F is conservative. F=xyi + yj+zk Conservative Not conservative

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Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t +…

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Q: Q2: Find a root of x – 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

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Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

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Q: 7L 1 Se cos 2t dt

A: Given,            ∫e7tcos2tdt

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Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1.

A: Topic = Differential equation

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A: Application of integration

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Q: For | cos 3x cos 4x dx :

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Q: the function below f(x, y) = 2x² – 3y – 4

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Q: S1 | 16 sin?x cos?x dx х cos

A: ∫ 16sin2xcos2xdx

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Q: 1. Express A = (3, 1, –1) as B+ C, where B is parallel to the vector (1, 4, 2) and C is…

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Q: Evaluate the summation 7-i. 22 25 18

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Q: Evaluate the following: 1. f (5a - 82 + 6z² - 4x + 7) da

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Q: Evaluate the integrals in the following questions using integration by parts for SincE In (x + x²)…

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Q: sech 2t dt Evaluate 3, coth 2t

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Q: (x+68y)e dydx %3D 1J0

A: This is a problem related to double integration. based on the general formula of integration we will…

Q: れ ポ+n3 lim (nj)2 + n4 j=1 n-00

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Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

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Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: 4. y = (x + 2)² +2 (A) not a function (B) function; domain: R 5. x = (y – 2)² +1 (A) not a function…

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Q: Solve for r and y the following system of simultaneous equations 2 In(z) = In(y) + In(16) %3D e e =…

A: Solution: As per given data e have two simple equation, 2ln(x)=ln(y)+ln(16) exey=e4 where,'x' and…

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

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Q: Evaluate the indefinite integral solve for two cases csc² 20 cot 20 de

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Q: '217-г3—1 limx → 6- Solve x2 – 5x-6

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Q: A. Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability

Q: for In (x + x?) dx

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Q: why discontinuous  if lhl and rhl are same zero

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Q: Inside r, = 3 sin x but outside r, 1+ sin x

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Q: Q28- The value of e-(In+1 )n is a) (-1)" e--1 b) (-1)"e" c) (-1)" e-+1 d) (-1)" e-"

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Q: Evaluate the integrals in the following questions using integration by parts For O cos T0 do

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Q: Evaluate the summation 4i + 4. i=1 140 116 224

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Q: 4(-0.1)(120)= 12 니

A: The simplication is given below:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: Evaluate the difference quotient fla + h) – fla) for the function f(x) = 2x²- 3. 4а + 2h 4а + 2h - 6…

A: Given: f(x)=2x2-3

Q: Find & l or In the direction of the given vector. 19) 14 B) 2/3 2/3113 2/3 2/3113 2/92/9 119

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Q: 1-2 I For each of the following functions given by power series, find f'(x) and / f(x)dx. Do not…

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Q: 1.0 1,0 -5 (2 - x for 0<x < 2, for 2 <x < 4. Let f(a) = Compute the Fourier sine coefficients for…

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