After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth is proportional to the number of bacteria present, determine the time necessary for the population of bacteria to triple. Round your answer to the nearest tenth of an hour.

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of funct...

A: We have to find integral

Q: What is the antiderivative of -dx? A 6x2 1/3 + C ® x/3 (2x% +9) + c %% + 6r/2 + c /2+c

A:

Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

A:

Q: edxte*

A:

Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: The revenue function, R(x)= xp(x), where x is the number of units sold and p(x) is the price functio...

Q: Find derivative: (b) y= -3 -3x4

A:

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a tab...

A:

Q: 6x² – 2x +5 dx? What is 2x + 1

A:

Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)...

A:

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

A:

Q: Find   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a positiv...

A: We know that Green Theorem state: ∫CPdx+Qdy = ∫∫D∂Q∂x-∂P∂ydA

Q: Consider lim e-. a) lim 4x - x² = 0 b) If we let t = 4x - , then we can rewrite the limit as lim of

A:

Q: Suppose that you are given nonzero vectors a, b, and c in R. Using the dot and cross products, give ...

A: As per Bartley guidelines we are supposed to answer only 3subparts per question. This post contains ...

Q: On which interval does the function f(x) = (x+ 5)/(x - 1) discontinuous? %3D O a. (1, 2) O b. (-2, 1...

A: topic - limits and continuity

Q: O convergent O divergent

A:

Q: If a function f(x) is not defined at x = a, then the limit of f(x) as x approaches a never exists. S...

A: Since you have asked multiple question, we will solve the first 3 question question for you as per o...

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: Determine the solution to the initial value differential equation 4 y'+ 4 y = 5 e3 x y (0) = 14 y (x...

A:

Q: Evaluate the integral by u-substitution. (Use C for the constant of integration.) Integral of Sin3(...

A: Given : Integral ∫Sin3(x) cos(x) dx   To find : Evaluate the integral by u-substitution?

Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: topic - derivative

Q: A particle moves along a straight line and has acceleration given by S"(1) = 4t +3. Its initial velo...

A:

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution : Given that if we add 1 in denominator and numerator of a fraction we will got the new fr...

Q: 2. Nhat is the value of n for the row of Pascal's Triangle that is: 4 1 6 4 1? correct value of n) W...

A: Follow the procedure given below. 

Q: 3 2t + 3 h(t) = 6 t2 Find h'(t) *

A:

Q: n7 + sin(18n + 13) 29 Determine whether the sequence an n18 + 13 converges or diverges. If it conver...

A:

Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Let R be the region between the graphs y = x² and y = 2 – æ for 0 < x < 1. The area of R is 7 and th...

A: Given :

Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

A:

Q: In(x+xy+y) 1

A:

Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

A:

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A: The curve whose tangent line at any point x,y is ex-cos x and passes through 0,4

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

A:

Q: Evaluate J (sin t + 1)-1 dt

A:

Q: COS Cos 3x dx CoS

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: * +3 Vx -dx ? What is the antiderivative of 1/3 (A 6x2 C B 9x /½, ,/3 + C + 2x © x (2x% +9) + C D + ...

A:

Q: 1. siny dx + (x - sin? y)dy=0

A:

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx 

Q: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: 3. y'= 1t 3y tan x

A:

Q: Label each of the following statements as true or false. If true, prove the statement. If false, pro...

A:

Q: Find the horizontal asymptote(s) of the function _P(z) f (x) where p (x) = 11,² – a – 2 and q (x) = ...

A: Given:      fx=pxqx  where px=11x2-x-2              qx=10x4-3x then fx=11x2-x-210x4-3x    Line y=L i...

Q: 4. y = log v2x + 55. y = In(2x + 1)*6. f(x) = In(x +3)* %3D

A: topic - derivative of a function

Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural len...

A:

Q: Find the value of k so that the value of (2x – 1) dx is 4. А) з в) 2 D) 5

A:

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

A:

Q: 1. f(x) = cos 3x2. y = - tan 12x3. f(x) = sec x? 4. y = sin(2x² + 5)5. y = 12 csc6. f(x) = sin(x + 1...

A: