In a certain bacterial culture where the rate of growth of bacteria is proportional to the number present, the number triples in 1 hour. If at the end of 4 hours 10 million bacteria were present, how many bacteria were present initially?

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A: Given:  A triangle ABC right angled at C sinB=13

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A:

Q: Using Simpson's method Blank 1 Add your answer √xdx for n=4 is equal to Blank 1 (use 2 decimal…

A:

Q: 4 2 dx : 5₂² In evaluating is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

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Q: For the given function f(x,y)=x²y³+3x³y, find a flax O 2xy³+9x² y O 3x²y²+3x³ O 6xy²+9x²

A: Given f(x,y)=x2y3+3x3y∂f∂x=∂∂xx2y3+3x3y

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A:

Q: crowave oven is stands for the number of units produced. 100 000 C(x) = 0.002a³-0.06x² +120x+5000,…

A: Please refer to the image below

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A:

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Q: ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x)…

A: We can answer the question as below.

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A:

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: Given: Now, we find the mentioned ratios. sin A=662+102=6234=334cos A=1062+102=534tan A=610=35

Q: Using Simpson's method 1 √xdx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: using the simpson's method ∫01xdx for n=4.

Q: Given than an f* f (x) dx = -4 and Ⓒ ²1 (2) dua - [² 31 (2) dir = A f 3f dx 22 B [₁ f (x) da = 6 0…

A: We have to find the integral

Q: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

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Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

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A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0.

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A:

Q: Consider the sequence -13, -3, 7, 17,.. 10n + 7. ...9 a. How many terms are there in the sequence?…

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Q: 1 -dx= (A) True B) False m 100 8

A:

Q: Which of the following is not true? A √ in(x²) dx = lim_²in(x²) dx А ₂3 3 dx dx B S²³² √₁ In(x²)…

A: Just use the definition of improper integral of first and second kind and find the required…

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Q: Solve for the derivatives of the following functions with complete solutions. a. y = ln (5x²) b. y =…

A: Answers provided by you have mistakes only (c) and(d) matches.

Q: y = sec² x tan(2x)

A:

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Q: Specify the domain of the function f(x)=sqrt2x+10   The domain of f(x)fx is x

A: Here we need to find out the domain of the given function.

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A:

Q: 18) lim xcos X

A: limx→∞xcos1x

Q: II. Find the sum of the following convergent series. lim = = = lim lim 0-2 1 [tan ² (2n-1) - tan²¹…

A: Given problem:-

Q: Find the complete solution of e sinx- - Note: fe" du = e" + C dy cos² x=0. dx

A: e-y sin x-dydx cos2 x=0⇒dydx cos2 x=e-y sin x⇒ey dy=sin x cos2 x dx⇒ey dy=sin x cos x·1 cos x dx⇒ey…

Q: A tumor is injected with 0.820.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: I have appended the formula used in the solution part of the question

Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

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A: Application of integration

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A:

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A:

Q: A CD has diameter of 120 millimeters. When playing audio, the angular speed varies to keep the…

A: Use velocity relation with angular velocity

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

A:

Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A: We have to integration

Q: Does the follewing finile & Series ooveryor dinerge E T $ (Inn) N-2

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A: Solution:

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A: Solution:

Q: Question 32 What integration technique can be used to integrate: A Trigonometric Substitution B)…

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A:

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

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A: We can solve the integration as below

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A: Inverse function

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A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

Q: 1. fx³ In x dx

A: Evaluate the integral equation by integration by parts .