A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours. Given that there were approximately 100 bacteria to start with, how many bacteria will there be in a day and a half?

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

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Q: Find the average value of the function f(x)= e²x on the interval [0,4]. O a. 372.5 O b. 1490 O c.…

A: Topic = Application of integration

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 4x2-3 f (x) 2х3+x2+7

A: Explanation of the answer is as follows

Q: ) What number is next in the equence? 2, 4, 16...

A: What number is next in the sequence? 2, 4, 16 ...

Q: A nut company is increasing production of a certain nut at the rate of 45 cases per day. All cases…

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Q: 8 – x? dx (a) x(x² + 5x + 8)

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Q: Finel the areca of Hhe region above the x-axis bouncled by the fuunetion 9= 4x-x?. う.

A: Area of a region bounded by a curve y=f(x) is given by, A=∫abydx where a and b are points of…

Q: Using the law of 69.3 calculate to the nearest 0.1 yr the time it will take your original investment…

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Q: 25) y" + y = 2 cos(t), y(0) = 2, y'(0) = 0.

A: Use second order differential equation

Q: Calculate the test-statistic, t with the following information. ni 20, ãi 2.37, s1 0.3 %3D n2 = 30,…

A: We have to find the test statistics.

Q: 1. (3 - 14)3 =? (Put your result in polar form)

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Q: Evaluate: Poe Adh a. e O b. C. e O d.

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Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 10 i e10 (x - 10)n+1 n! n=0 e10 (x -…

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Q: If A = {2,4} and B = {1,4, 5}. Define a binary relation R1 and R2 from A to B as follows: R1 {(a, b)…

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Q: 2Su° (4 + u°)°du

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Q: sin 4.x if x > 0 Suppose f(x) = {0 if x = 0. Find f'(0) using the definition of derivatives. x+4x if…

A: We have to find f'(0).

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = xy…

A: We have to find the minimum and maximum value of the given function.

Q: Which angle has a negative sine value and a negative cotangent value? 3. 7 8 9TT C. P. 3. 5

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 4500 -3p E(p)…

A: The Elasticity of demand is defined by  E(p) = p * f ' (p) / f(p)

Q: valuate (3x + 2)In(x) dx

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Q: 3 6. Work Problem 3 (e ): v1 = 0 |, U2 = 02 vectors from %3D 1 a) [' Determine if the vectors {v1,…

A: Vector

Q: L(sin² at)

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Q: 3. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15+0.1x…

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Q: 16. (ho f)(x) (A) VAr – 1 (C) 4r² +1– 1 (B) 2r – 1 (D) 0 17. (fo h)(1) (A) VAr – 1 (C) 4r2 – 1 (В)…

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Q: Suppose that f is defined everywhere and 1 are the only critical numbers for f. If f"(x) = 2x + 1,…

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Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x2 + y (x, y) # (1,–1) r + y is not…

A: To show that the function f defined by fx, y=1, x, y=1, -1x2+yx+y, x, y≠1, -1is not continuous at 1,…

Q: Let C(x) be the cost, in dollars, to produce x gallons of gelato. What is the meaning of C'(5) = 4.5…

A: Given, C(x) is the cost in dollars. x is the gallons of gelato.

Q: 25 1 21

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Q: Write the augmented matrix of the given system of equation X+y-z = 8 3x – 4y = 2 5x + 2y - z = 4 The…

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Q: Points A andB are separated by a lake. To find the distance between them, a surveyor locates a point…

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Q: is no solution for p

A: D.

Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 50 miles…

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Q: 39. An airplane travels due east for 2 hours, at 320 miles per hour. Then it changes course to S27°…

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Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: .2 1 27 36

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Q: cuiing What are the angles where sin 6 can be considered as almost equal to tan 0 (equation 8.3)?…

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Q: Prove that 17 is the only prime number of the form n- 64.|

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Q: 2. The temperature at any point (x, y) of a rectangular plate lying in the xy plane is determined by…

A: Given problem:- The temperature at any point (x, y) of a rectangular plate lying in the xy plane is…

Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: -17x - 60y satisfying the initial conditions x(0) = -33 and %! Find the solution to the linear…

A: The solution is given in the next steps.

Q: At a conference, after everyone had shaken hands with everyone else, it was found that 45 handshakes…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: C08QX dX

A: solution:-∫cos3x dxwe know that cos3x=4cos3x−3cosxcos3x=cos3x+3cosx4=∫cos3x+3cosx4 dx

Q: Find the minimum and maximum values of the function y = 8/x2 + 1 – 7x on the interval [0, 8] by…

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Q: For the list of degrees below: degree Ahmed 66 name Ali 90 Mona 45 Salma 76 Karim 78 Use…

A: As per our guidelines we are supposed to answer only 3 sub-parts. Kindly repost others. Thank you…

Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal.…

A: Given  Slope of hill α=10° Angle of elevation from slope β=39° Length of shadow on hill slope L'=24…

Q: 3. If water bottles are geometrically similar, how much more water will a bottle that is 50 cm tall…

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