A population of bacteria grows at a rate proportional to the number of bacteria at the time. There were initially 250 bacteria, and after 24 hours the population multiplied by 10. How many bacteria would there be after 48 hours?

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

A:

Q: Given the differential equation d?y 12. + 4y = 0 di? Determine the Characteristic Equation for the g...

A: We have to find characteristics equation

Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 37x dx x* +...

A:

Q: f(t)=16t^2-64t, then f’(t)=

A:

Q: Find the area of the shaded region. y = V 1X1, 1) x = 27 10 15 20 25

A:

Q: Find the equation of family of lines whose sum of intercepts is equal to 5.  Show solution and grap...

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: 2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then So...

A: Topic:- differential equation

Q: Determine whether the integral is convergent or divergent. 2 dy 4y - 1 convergent divergent If it is...

A:

Q: the population of a colony of hamsters grows exponentialy. the colony begins with 10 hamsters five y...

A:

Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of ...

A:

Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

A:

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

A:

Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the limit...

A:

Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin Sho...

A:

Q: 1. =2*e* = 2*e*

A:

Q: dx Evaluate the given function : Vä(1+væ)

A: Here we have to evaluate the given integral.

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square incr...

A:

Q: Arc sin -+ Arccos =0 y y

A: Given that sin-1xy+cos-1xy=0find dydx

Q: d) Graphs of the revenue and cost functions are shown below. Answer the following questions. R(x), C...

A: topic- functions 

Q: 49 -dx Find the antiderivative of 7* + C 2 In 7 A 7* + C In 7 (B 2 In 7 + C In 7 + C 7* D

A: topic - indefinite integral

Q: Evaluate the given function · sin2ØdØ 1+sin?ø a. In[In(1 + sin²Ø)] + C b. In[1+ sin²Ø]+C c. In[sin2Ø...

A:

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters

A:

Q: No, last te 10

A: FOLLOW THW PROCEDURE GIVEN BELOW.

Q: S: +3 What is the antiderivative of dx ?

A: NOTE: Refresh your page if you can't see any equations. .

Q: ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates at a...

A:

Q: 4. Show that In x lim x→1 x – 1 1. (Hint: Note that In In x-ln 1 x-1 and interpret the limit as a de...

A: Given: To prove that limx→1 ln xx-1=1 using the limit as a derivativeFormula: f'(a)=limx→af(x)-f(a)x...

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: y" – 3y' + 2y = 2x² + 1

A: The Solution is given below

Q: Зх — бу — 2z %3D 1 2х — 4у + z %3D 17

A: We can use an augmented matrix to solve the given non-homogeneous system of equations.

Q: 7. (1+x*)dy + x(1+ 4y®)dx =0

A:

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression. 

Q: Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has...

A:

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

A:

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

A:

Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical coordina...

A: Given: x=3, y=9, z=3.  

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top ...

Q: By setting one variable constant, find a plane that intersects the graph of z=9x^2−3y^2+1 in a: Par...

A: Given that -  z=9x^2−3y^2+1 

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 ...

A:

Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

A:

Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

A:

Q: Find the limit of lim 7+8x+9x4 x4

A:

Q: Find the area enclosed by the x axis and the curve y= 4-x2

A: Find the area enclosed by the x axis and the curve y= 4-x2 

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

A:

Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

Q: Find the integral. e4X cos 3x dx + C

A:

Q: x- 3 lim X3 x2 - 2x – 3 5.

A:

Q: Determine whether the integral is convergent or divergent. 5 dy 1 4y convergent divergent If it is c...

A: We have to find the convergent test

Q: O convergent O divergent

A: