The number of bacteria in a culture is given by the function n(t) = 940e 0.1t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? Your answer is percent (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t=5? Your answer is

Q: Find the linearization of the function f(x) = 1 9x+8 √a la π sin (a) L(x)= Find the true values of f…

A:

Q: ate the following integral using polar coordinates 17 'yx² (x² + y²j2dxdy

A: Above question is solved.

Q: 5- x(in y-In x)dy = y(1 + In y-In x)dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

A:

Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x)= x - 3 x = 3

A: Removable discontinuity

Q: Calculate the iterated integral. 1 '1 15 15(u - v)5 du dv

A:

Q: A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of…

A: It is givne that, A car-sharing service offers a membership plan with a $50 per month fee that…

Q: consider the function f, such that f and f are continuous for t > 0 defined by: 0<t<7 f(t)= -68t…

A:

Q: Factor the trinomial. 6q²-25qt+14t² Select the correct choice below and, if necessary, fill in the…

A:

Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

A:

Q: -1₁ - S. -3√ 42² + +81(1+z)² dy .dz y = Z =

A: The answer is given below:

Q: 2. Compute [²√x by first changing it to polar coordinates. 1 -√3x (x² + y²) ² dy dx

A:

Q: If y = ecos(x) then y" + sin(x) y' +cos(x)=

A:

Q: In the process of calculating the inverse LaPlace of the function: F(s) = -21 - arctan (15) you…

A:

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

A:

Q: The graph of g is shown below. 12 10 8 6 4 2 DE 50 a. Using the graph, estimate the value of g(275)…

A: Solution ) from the given graph  a) we see the x axis 275 which cross the function  At y axis is 6…

Q: Y=t-2√√x + X

A:

Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: Consider £ {y(t)} = Y(s) when solving the following equation: ty' (t) + 23ty(t) = 0 con y(0) = 0…

A: L

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

A:

Q: The population of a town grows at a rate proportional to the population present at time t. The…

A:

Q: 1 50° || 5 1191 10% what is

A: Here we have to find the value a→·b→=?

Q: (d) f(x)=√√x-8 (e) h(x)=√x+2

A:

Q: A golf ball is launched into the air with an upward velocity of 81 feet per second. The height of…

A:

Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t .

A:

Q: Find the exact length of the curve. y = 5 + cosh (2x), 0≤x≤ 7

A:

Q: The population of a small country by year is shown in the table below. Year 1955 1960 Population…

A: If population of a city x in 1950 and y in 1960 then absolute change of population=(y-x)  As per our…

Q: √√3 Lett be a real number and let P (1/1-4/3) 2 2 (a) Find the values of cost, and tant, and then…

A:

Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

A:

Q: We have that 10 177 g (17x + 7) dx O a) 4 O b) O c) 17 Od) -4 24 17 g (t) dt = 4 I so what's the…

A:

Q: Solve 2 cos² (t) - 3 cos(t) + 1 = 0 for all solutions 0 ≤ t < 2π t = Give the exact answers as a…

A:

Q: 2. Find y' if y = 7* (log4 x)⁹.

A: The given function y=7xlog4x9

Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

A:

Q: For the function f(x) = 2x³-5x² +11x +3, find f''(x). Then find f''(0) and f''(2). To find f''(x),…

A: The given function is f(x)=2x3-5x2+11x+3

Q: Annual sales of bottled water in the U.S. in the period 2000-2010 can be approximated by the…

A:

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: Given graph:-

Q: Solve the given equation for x. 75x-5 = 31

A:

Q: Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A:

Q: 4) Find equations for the planes: b. The plane through (1,-1,3) parallel to the plane 3x+y+z=7 A-3+1

A:

Q: Solve the given differential equations: dy x-3 1. dx 2+y²

A: Differential equations

Q: 6t²+t-5 9. lim t-∞ 9-2t²

A: lim  (6t2 + t -5)/(9-2t2 ) t --&gt;-∞ here question is of limit  and here we have to divide t2 by…

Q: Find the derivative of the function. y=-5e-4x+1 dx 11

A:

Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: Y=t-2√√√x + X Find domin and ringe

A:

Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x): x + 2 = x = 3

A: The given function is: fx=x2-7x+12x+2, x=3 Show that f has a removal discontinuity at x=3

Q: Question For the function f(x): = Provide your answer below: a. lim f(x) = x → 5 b. lim f(x) = x →…

A:

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Solution

Q: foxdx

A: