(a) Find an exponential model n(t) = no 2/a for the number of bacteria in the culture after t hours. Answer+ (b) Estimate the number of bacteria after 35 hours. Answer + (c) After how many hours will the bacteria count reach 10,000? Answer +

Q: Content attribution Question Approximate the area under the curve f(x)=3-13-x | over the interval…

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Q: 1)Find a b. |a| = 5, |b| = 6, the angle . between a and b is 45°

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: ytanx = y'ex

A: Given differntial equation y tanx =y"ex

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A: (4) The function is given by wx = -3x-4 6) The function is given by gn = n2+2 To evaluate: The value…

Q: Can you please provide a graph

A: We can draw the graph .

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A: Given: ∫x2exdx

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Q: Solve the following differential equations. Show your complete and detailed solutions. dy xy-y +…

A: See the details solution in below

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A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: dz If z = f(x, y) = x² + 2xy² and (x(t), y(t)) = (cos 2t, 2 sin t), use the Chain Rule to find…

A: We have to use the chain rule for finding the required derivative

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A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

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A: Given: y''-4y=sinhx

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Q: Determine the domain and range for the graph below. f 3 2 H -5 -4 -3 -2 -1 a. Domain: b. Range: 1 -2…

A: We can find the domain and range in the below steps.

Q: Q18 Find the value of tank(in 3) 019 SUMM A) THE B) & D) MIH D)

A: I have stated the used formulas in the solution

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A: Given function:- fx=3x-3

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A: We have to evaluate: ∑k=1∞1k+2-1k+3

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A: We have given function  fx=x2 Domain is the values of x for which a function is defined.  function…

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Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x³3 1 (1+√1-x)²¹ 7. 8. y = 52x+1, 1 2 at x = :…

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Q: y" +9y2 cos 3x + 3 sin 3x

A: Please see the below picture for detailed solution.

Q: 10. Use the &-& definition of limit to prove the limit is 16. lim 6x-2 x 3

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Q: - 2. f(x) = x³ = 5x + 4, at x = 1

A: slope of the curve fx=x3-5x+4, at x=1

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

A: A sinosoidal curve can be view as y=Asin(kx)+C, where A is the Amplitude, k is the period, and C is…

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Q: Direction. Write the letter of the correct answer on a separate answer sheet of paper. 1. The…

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Q: The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 2 16…

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Q: C- Find the Fourier expansion of the f(x) = sinx -T< X < T

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Q: Determine whether the given differential equation is linear or nonlinear, and give its order.…

A: Linear Differential Equation: A differential Equation that is free from the product of dependent…

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A: As per guidelines we can answer only one question at a time. So if you need more answers kindly…

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Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Q3 Q4 The sequence A) increasing The value - ing 1) strictly increasing D) eventually strictly…

A: We need to choose correct option.

Q: Q27) A)1+c B) Injx + c Sing+ Car X c)x+c dx D) xin x+c

A:

Q: b/ For the following function the range is y = √4-x

A: The range of a function is the set of it's possible output values ( y - values).

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Q: A particle moves on a circle of radius 5 cm, centered at the origin, in the xy-plane (x and y…

A: Initial position ( 0 , 5 ) which means particle has already covered π2

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A: solution is given below

Q: Which is NOT a solution to the differential equation y" - 4y' +4y=0? A B D E N=re2 2x y = 2e + 3xe…

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Q: Sketch the graph of the function by first making a table of values. f(x) = x + 2 x -6 -4 -2 0 2 4 6…

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Q: Find the center and radius of the circle. x² + y² = 2 center (x, y) = radius Sketch the graph of the…

A: Topic- Equation of a circle Equation of a circle with center (a,b) and radius r(x-a)2+(y-b)2=r2

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A: Given: f(x)= 3+√x

Q: Integral Calculus. Answer step-by-step.

A: Here we have to integrate the given function.

Q: y=2x+ce; y'-y = 2(1-x)

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: y" − 6y' + 25y = 48 sin 4x + 84 cos 4x

A: See this diff equation solution in below with details.