The number of bacteria N, in a culture is modeled by the exponential growth model, M(t) = 300e0.025t, where t represents time in hours. According to this model, approximately how many bacteria will there be in this culture after 3 hours? O O оо 308 303 603 323

Q: Outcome 6 Find the derivative from first principles, given y = √x²+b

A:

Q: -2 1 2 y = 0 4 y = x^3 - 8x^2 6 |▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬| 8 10 12 X

A:

Q: 55. h(x) = f*cos(1²) di

A:

Q: Find all the second-order partial derivatives of the function f(x,y) = 3x + 1y+2: 2²f 11 ах'…

A:

Q: Match each trigonometric function with one of the graphs. f (x) = tan z f(x) = cotr f(x) = secr =…

A:

Q: The pH of a solution is given by the formula pH = log 10- in which H+ is the concentration of…

A: The pH of a solution is given by formulaWhere,  is the concentration of the hydrogen ions in gram…

Q: Find a parametrization r(t) of the line through the origin whose projection on the xy-plane is a…

A:

Q: Find the area between the curves: f(x)=x+3 and g(x)=x^2-x

A:

Q: Given f(x, y) = -6x¹ + 6x³y - 2y³, find fz(x, y) = fy(x, y) = faz(x, y) = fry(x, y) =

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only three…

Q: Evaluate the integral: 1x= 14 sec (0) x = 3 sin(0) x = 9 sin(0) Ox=3 tan(0) 9 tan(0) 14 x²√√x² +9…

A:

Q: find F'(x) f(x) = 7 +1

A: The function is given byTo determine: The first derivative of the function.

Q: 3. The point (1,-2) is on a curve, and at any point on the curve the tangent line has a slope equal…

A:

Q: I cant read that, hense the new submittal of the question.

A: First of all let we are differentiating with respect to xdifferentiating of implicit function mean…

Q: Question 2 Apply the linearity to find the transformation a) f(1)-1+r b)/(0)-2- <)(1)-2-…

A:

Q: A road crew can repave (1)/(48) miles of road each hour. They must repave a road that is (3)/(8)…

A: A road crew can repave (1)/(48) miles of road each hour. They must repave a road that is (3)/(8)…

Q: (1) The series Ex=1 k4/5 is: 8 (-1) A) conditionally convergent B) absolutely convergent C)…

A:

Q: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

Q: TT/2 11. f/² sin²x cos²x dx 0

A: The term "integration" refers to the addition of discrete data. The integral is calculated to…

Q: B Using the graph above, evaluate the following limit. lim f(x) 42- O PROF (A)1 (B) 2 (C) 3 (D) The…

A:

Q: Let f(x,y) = x² − xy + y² − y. Find the directions u and the values of Df(1, -1) for which the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: To find the volume of the solid generated by revolving the region bounded by the graphs of the…

Q: Item 3 If f(x) = 2x² and g(x) = 1. (fg)(-3) II. (f- g)(2) 9 IV.(ƒ + g)(1) 0.5 108 The largest value…

A:

Q: Evaluate the limit for r(t) = (t-², sin(t), -5). -2 lim h→0 r(t + h) - r(t) h - (f(t), g(t), h(t))

A:

Q: What is the exact value of (57) ₂ 12 tan

A: To find the exact value of .

Q: Given f(x, y) = 10√/8x5 + 7y + 2xy, find fz(x, y) = fy(x, y) =

A:

Q: A radioactive isotope decays over time at a rate proportional to the amount of the material at a…

A:

Q: Evaluate the following integral by first converting to polar coordinates. Z 2 −2 Z 2 − √ 4−x2 cos(x…

A: x is varying from -2 to 2y is varying from - to 2The region is a circle which lies only in first two…

Q: Given that A = 2 3 -2 and B = 3 -4 +] evaluate A² - 2B.

A:

Q: Five commuter trains and three express buses depart from city A to City B in the morning, and four…

A: Three commuter trains and five express buses depart from city A to City B in the morning, Number of…

Q: •Je Cer x² dx

A:

Q: Determine the exact value of each of the following expressions. sin 7π 6 (47) 3 cot cos(-5+7)

A:

Q: The area of a circle, A, in terms of its radius, r, is given by A(r) = r². The radius in terms of…

A:

Q: A cubical box has interior measurement of exactly 3 meters long along  each edge. If the material…

A: To approximate the volume of the material used in constructing the box, we can consider the…

Q: The model for exponential growth is given by f(x) = aex where b>0. True O False

A: The model for exponential growth is given by f(x)=aebx where b &gt;0 .

Q: 1. Find the natural domain f(x) = 3 √2x+1

A:

Q: 5π Determine the exact value of sin- 12

A:

Q: Use the definition of the derivative to find f'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2…

A:

Q: (b) Consider the first order linear differential equation dy Y + dx x-1 = 2 (i) Find the integrating…

A: Consider the first order linear differential equation.(i) To find the integrating factor for this…

Q: (4) The interval of convergence B) (---) A) [0] of the power series C) (-3,3) is: -1 D) (-∞0,00)

A:

Q: Maximum/minimum point(s) for y=sin2x-cosx-4x on interval 0<x<2π. The value(s) should be in radians.…

A: We are given the following information.We will find the maximum/minimum points for y=sin2x-cosx-4x…

Q: The velocity of a particle on the x-axis is given by the differential equation dx d=³√t, The…

A:

Q: b) x²y + xy = 1 x>0 y(1) = 2

A:

Q: Find the solution of the differential equation r' (t) = 5r(t) with the initial condition r(0) = (2,…

A:

Q: Find all the second-order partial derivatives of the following function. w=xsin (6x²y)

A:

Q: For the position function s(t)= - 16t+115t, complete the following table with the appropriate…

A:

Q: For the function f(x) = 2x³ -x, make a table of slopes of secant lines and make a conjecture about…

A:

Q: calculate 1.100 1/2 dz, and 1100 1/2 dz x² x²

A: Solution- We know n=-2

Q: Evaluate the line integral Jc (2x³y³) dx + (9x³ + y³) dy where C is the unit circle, and verify…

A:

Q: Use the graph of y = f(x) to answer the question. For what values of x is f(x) ≤0? -17 (-2,3)…

A:

Q: Verify Green's theorem for the indicated region D and boundary 3D, and functions P D = [−4, 4] ×…

A: here the given question is P(x,y)=x and  Q(x,y)=y