A bacteria culture initially contains 1000 bacteria and is growing at the rate of N' (t) = 2tt-2/3 bacteria per hour. Find the function N(t) that describes the number of bacteria in the culture after t hours and use it to determine how many bacteria there are after 27 hours. Type your answer in the space below. After 27 hours, there will be bacteria in the culture.

Q: 1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - =…

A:

Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)

A: We need to find D.E.

Q: Which is an equation of a line? A. y = 4 B. x = y^2 -4 C. y^2 = x^2 + 4 D. x^2 + y^2 = 0

A:

Q: The solution of the differential equation y' + 2xy = Ky when y(1)= K is

A:

Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

A:

Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: Given cost and price (demand) functions C(q) = 110q+40,700 and p(q) = -1.9q + 900, what profit can…

A:

Q: reply as soon as posible.

A: To find out the conservative.

Q: tanx - x x-0 x - sinx 1. lim

A:

Q: The equation P=25sin(2πt)+90P models the blood pressure, P, where tt represents time in seconds.…

A:

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: If f(x)=5x(sinx+cosx), find f′(x) =

A: Product Rule of differentiation : du.vdx=u.dvdx +dudx.v dxndx=n.xn-1 dsin(x)dx=cos(x)  and…

Q: Solve the differential equations i 4. y' + (tan x) y = cos²x, 8. e² y' + 2e² y = 2x

A:

Q: Evaluate the integral and it gives x x 2 sin+cos sin²x 2 dx 2 In | csc (1/2)x-cot (1/2) x | + 2 csc…

A: The given integral is ∫sinx2+cosx2sin2x2 dx=∫1sinx2+cosx2sin2x2 dx=∫cscx2+cscx2 cotx2…

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of a ball launched in the air t seconds after it is launched is given by:…

Q: A particle moves along a straight line from the origin (at t=0) with the given velocity v. Find the…

A:

Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: 3/7 Identify the coordinates of any local and absolute extreme points and inflection points. Graph…

A:

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9 None of the…

A:

Q: 3. I. Evaluate each determinant. -1 5 3 2 3

A:

Q: A farmer wants to fence an area of 6 million Square feet in a rectangular field and a divided in…

A:

Q: Q1: Solve the following PED: ди ди = дı ?x² ; if u (x, 0) = 2x when 05x5 05x52

A: Note:- These are multiple questions and according to our company guidelinne we can do maximum 1…

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: Let S be the collection of points (x, y, z) that satisfies all of the following inequalities: 0 ≤ x…

A: Here Z is function of x and y so first we have to integrate w.r.t z then x and y.

Q: Given that Inx+3 f(x) = 3lnx-1 Find the formula for f−¹(x). State the domain of f−¹(x). Show all…

A:

Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

Q: Find the general and Singular Solution of the Following differential equation y²Lny = xyP+ P²

A:

Q: lim x4 1 x³-64 Ꮳ 5 1 vx2+9

A:

Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

A:

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

A:

Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

A:

Q: S dx -1 x-x² 2³√√x 1423 22 Option 1 Option 3 1425 22 Option 2 Option 4 1521 20 1523 20

A: Given: I=∫-8-1x-x22x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 3. You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

A:

Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

A: Given ∫(sinx)3dx=∫sin3xdx

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

A:

Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

A:

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x.

A: Here we have to find the area bounded by the curves.

Q: The series O True O False (-1)^ n Σn=1 is conditionally convergent.

A: Given a series ∑n=1∞an .  If ∑n=1∞an converges, but the corresponding series ∑n=1∞an  does not…

Q: Which of the following is an appropriate choice for & when proving the following limit? lim(x² - 2x…

A:

Q: Use the chain rule to find, where First the pieces: End result (in terms of just t): dz = dt 江 西 | z…

A:

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: find inverse 5-11 -7-9

Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: answer is in next step.  please give a like !!!!

Q: Using integration by parts for getting the integral of ex cos 2x will give way to another…

A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

Q: 5. I. Evaluate each determinant. 2 -2 4 L

A:

Q: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

A: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

Q: cos(B) = −³, π< ß < 2π.

A:

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4

A: