The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 sts 10) as shown below. = kV? dt The initial size of the population is 300. After 1 day the population has grown to 400. Estimate the population after 6 days. (Round your answer to the nearest whole number.) bacteria

Q: y" – 2y' + y = –3 – x + x²,

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A:

Q: S cos(3=)dz

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

A: [ x-0  y-0  z-0] [4-0  0-0  4-0]      = 0 [-1-0  -1-0  8-0] [x  y  z] [4  0  4]      = 0 [-1  -1  8]...

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A:

Q: PROBLEM [ B6 (a) ]: Obtain the differential equation whose general solution is y=a sin 7x – bcos 7z,...

A:

Q: x sec (3x) tan (3x)dx

A: Find your answer below 

Q: Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere, side ...

A: Find your answer below I have solved two because these questions are not related to each according t...

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A:

Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: Find dy/dx. 1.y = 5ain a %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: The intensity of an earthquake can be measured on the Richter scale according to the following logar...

A:

Q: X-9 At what x- values is f(x) not differentiable?

A:

Q: Evaluate the triple integral of (1 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 4, ...

A:

Q: 2 + 5 sede) ( *)) d. /2+5 sed*). 3x 3x 4. 2 + 5 sec e tan

A: 4). Given: I=∫e3x2+5sece3xtane3xdx   ...1   As we know that; ∫secxtanxdx=secx+C  

Q: 9. Let a be a positive value. State the integral test, and use this to determine whether > -an e n=0...

A:

Q: sin x 5. Use series to evaluate dx .

A:

Q: Use partial differentiation to find the derivative of the implicit function dy (3x'y-1)+ 7xy = 9 usi...

A: We will use the given formula to solve this question.

Q: dx 2xy-3y2 _14. tan*y – 2 tan y +1 = x N. dy (y-x) _15. secy + sec x = tan y dx 2x dy y sin x-cos y ...

A: 14) tan2y-2tany+1=x(tany-1)2=x Dfferentiate w.r.t.xddx(tany-1)2=ddx(x)2(tany-1)ddx(tany-1)=12(tany-1...

Q: Evaluate lim, 0 (1 - )2". (Hint: take log) 6.5 O 1 O 2 O e?

A:

Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

A:

Q: Rectangular and Polar Form of e(5-j5)^(12.44-j8.39)

A: Given expression is: e(5-j5)(12.44-j8.39)  We have to find its rectangular and polar Form.

Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = 12 - 3x², y =...

A:

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

A: The figure of the window is given by The perimeter of the window, P = 20 ft. Radius of the circular...

Q: Average Life Span One reason for the increase in human life span over the years has been the advance...

A:

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs o...

A: This is a problem related to polar integral. Assume the x and y in term of polar and then we will so...

Q: Q1/ Find the missing term in the following table using interpolation: 2 3 4 9 81 y: ...

A: The missing term is 

Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

A:

Q: 2. Derive the Maclaurin series for cos-(5x) as far as the term in x. Hence evaluate cos (1) to 4 sig...

A: Let's find. 

Q: Consider the following. f(3) = 9, f(-1) = -11 (a) Write the linear function f such that it has the i...

A:

Q: Use vectors to determine whether the points are collinear. (0, –2, –5), (15, 8, 0), (6, 2, –3) The p...

A: The given points are 0,-2,-5, 15, 8, 0, 6, 2,-3

Q: The line segment x = p - y,0 <y < p, is revolved about the y-axis to generate the cone as shown in t...

A: Use simple integration formula for lateral surface area.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

A:

Q: Directions: Find the extrema of the following function on the given interval, and determine the valu...

A: Since you have posted multiple questions which are not interlinked i can do first question as per ou...

Q: 1 determine whether it converges or whether it diverges. As part of your 6. For the series k3' k=0 s...

A:

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes thro...

A: Topic = Coordinates geometry

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

A:

Q: 1. (a) (i) Determine the least degree of the polynomial function given by the following graph. (ii) ...

A:

Q: x=r' +1, y=r -t d'y b) Find dx?

A: Given: x=t3+1y=t2-t To Find:  To find d2ydx2.  

Q: 10. f(x, y) = (x - y)/(x+ y); R is the region enclosed by the lines y = x, y = 0 and the circle x +y...

A: Given function f(x,y)=x-yx+yand   R is the region enclosed by y=x   , y=0   and   x2+y2=1  in first ...

Q: f(x) = √x −ln(x). Restrict the domain of f(x) such that it is one-to-one, and then sketch the funct...

A: Domain of  x-lnx :  Solution:  x&gt;0  Interval Notation: 0, ∞  The inverse of the function is not p...

Q: Which/What illustrates an implicit differentiation of the equation 2x + 3y = 6?  [Item Number 1]

A:

Q: Let f(x, y) = xr sin(xy). Find (a) xy cos(xy) (b) y cos(xy) (c) x² cos(xy) (d) -x sin(xy) (e) Some o...

A:

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx...