A bacterial population is 2000 at time tea equals zero, and it’s rate of growth is 1000×2^t bacteria per hour at time T hours. What is the population after one hour? Round your answer to the nearest whole number. Please help me solve this with integrals

Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

A:

Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D...

A:

Q: The expression below is an evaluation of which integral? * 1 2 + 83 In|w| In|u² + 9| +c 18 2+ w4 dw....

A: option 3 is correct, see the solution, please thumbs up, if your doubt is cleared.

Q: E and F are independent. P(E)=0.3 and P(F)=0.6 find P(EUF) and state answer rounded to 2 decimal pla...

A:

Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

A:

Q: 7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milli...

A:

Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

A:

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: A certain radioactive isotope decays according to the formula A = Age-0.0274€, where Ao is the amoun...

A:

Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

A:

Q: Solve the following triangle. B= 70°, C= 30°, b=7 (Simplify your answer) (Type an integer or decimal...

A:

Q: If log, æ = 0.63, log, y = 1.46, and log, z = 1.77, loga

A: As we know that, The logarithmic properties: 1). logaxb=b·logax 2). logaxy=logax+logay 2). logaxy=lo...

Q: To evaluate the integral xp Jx²+5x+6 S we use the partial fraction decomposition of the integrand. S...

A: Find your answer below 

Q: 2- R 1+ TTX 86. Let R be the region in the first quadrant bounded by the graphs of y = 4 cos | and y...

A:

Q: Given the series 2-1 Lx=1 (1+ln²x)x 1. Justify if the series can be proved using the integral test g...

A: Given problem:-  

Q: function fo - SX+2X-! Four impurtaut, intervals: (-0,A). (AB) (BC) ond (c) where A and C are critica...

A:

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

A:

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

A:

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

A:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A:

Q: S (1 – cot² x) dx b)

A:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

Q: 1 n > 3. Let an n Vln n Use the Integral Test to determine if the series > an converges or diverges....

A:

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: Use implicit differentiation to find y' and then evaluate y' at (3, - 4). 5xy + y+ 64 = 0 y' =D y'l(...

A:

Q: Problem 2. Find all pairs (s, t) of Gaussian integers s, t e Z[i] that satisfy (7+4i)s+(11+2i)t = 3+...

A: We have,

Q: Use the Comparison Test to determine if the series 5n – cos 2n - n³ + n² + 1 n=1 converges or diverg...

A:

Q: After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blo...

A:

Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: Find the equation(s) of the tangent line(s) to the graph of 9 x – 4 xy + 16 y = %3 25 at points wher...

A:

Q: 6.2 o, 417 り O• 2 o.447 X, o. 587 0.3 nd:. う、= ?

A:

Q: If a rock is dropped from a height of 249 ft, its poistion t seconds after it is dropped until it hi...

A:

Q: Use the Comparison Test to determine if the series 5n cos 2n - n³ + n² + 1 n=1 converges or diverges...

A: Given query is to find series converges or diverges.

Q: Simplify the expression. Write the final form with no fractions. sinx secʻx- sinx sinx secx+ sinx

A:

Q: A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a...

A:

Q: Transformation by Trigonometric Identities Evaluate: integral of sin^12 2x cos^7 2x dx. Use the guid...

A: Let I is the value of Integration.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: The region bounded by the curves,x=23y ; x=0 ; y=5

Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)*+y'; R...

A:

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so, f...

A: We have to find the limit of the sequence and find first five terms

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 22n+2"+1...

A:

Q: Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with ra...

A:

Q: 5. Use the pascal's method or term formula to write and expression for each term (a a. ts3 b. t15,12...

A:  

Q: 6. A vertical tank shaped like a truncated square pyramid is filled with water. Find the work requir...

A:

Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

A:

Q: Evaluate the improper integral or state that it is divergent. dx (x-6Xx-5) O In 6 O In 7 In 2

A:

Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration