Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacterium and triples in number every 30 minutes. How many bacteria will the colony contain at the end of 12 ​hours

Q: Differentiate the following. Simplify your answer completely. Write your answer without negative…

A: topic - derivatives

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A: A rational function has following properties,touches the x axis at 3crosses the x axis at -2vertical…

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Q: nd Solve:- Qz: Classify dy - 3x +(3メナリ』 = e Jス

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1) Vw(19, 5, -1) =

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Q: (1.5)+(-2.3)+(-0.3)+(1.2) + (1,9)? Simplify o= (a) State the answer in square root form and (b)…

A: Given query is to simplify the expression.

Q: Find the radius of curvature of a parabola y2 – 4x = 0 at point (4, 4). A. 22.33 units B. 25.78…

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Q: JI (x - 1)5 + 3 (х — 1)? + 5 Jdx

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Q: A farmer plans He needs dimensions would usé the least amount of fence? o equal piece a rectangular…

A: Given:    Area = 194400

Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

A: By using elimination method to find all solutions of the system of equations.2x2-y2=17x2+5y2=14

Q: Choose the graph of the function "arccot(x)".

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Q: Q10.. Solve (1+ x²) + y = tan-'x. dx

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: Determine whether each improper integral below converges or diverges. dx 3. S 0 x* + 2x – 3

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j…

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Q: (7/6 sin t dt cost 39.

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Q: F. Boolean Matrices Го 1 A = 1 0 3-- [1 0 1] C=0 1 1 0 1 0 [1 1 1] D= 0 0 1 |1 0 0 Let B = [1 0 0 1]…

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Q: Discuss the continuity and sketch the graph. x-2 if x1

A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

Q: A restaurant wants to prepare meals for 4 customers. In the restaurant there are only 2 kinds of…

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Q: 4dx Evaluate: S 3x+2

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Q: A company reimburses its sales representatives $175 per day for lodging and meals plus 22e per mile…

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Q: 3 +e? +). 3x 2x2 2

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Q: A. Determine whether the following functions are continuous or not. are not, classify them as…

A: Given : f(x)=x2-36x+6     To Find : type of discontinuity   Note : If f(x) is undefined at x=a, and…

Q: For this question, we are concerned with the movement of an object along a path in the plane. We are…

A: Let the points be: O(0,0),A(4,3),B(7,3) &amp; C(10,7)

Q: cot e dv cot ( +9)1-cos? e Irm

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the…

A: Given query is to find the average valu e of function g(x).

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Q: sin 2x dx Evaluate the definite integral: COS X

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Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: Which of the following parametric functions create this graph? -4- -2- -2 2 -2 -4. x (t) 4 cos(t)…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as…

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Q: 7) Find the radius of convergence and interval of convergence of the following series: (х — 2)" | n²…

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Q: 7 dx 5. S- xVx-4

A: I am attaching image so that you understand each and every step.

Q: find the Inverse LaPlace Transform, L-1{F(s)}. L~1 s2 А. (t - 1)*и(t — 1) В. t u(t - 1) C(t – 2)U(t…

A: Given, L-1{e-s/s²} We know that, L-1(e-s)= theta(t-1) L-1(1/s²)= t

Q: definite integrals: Show complete and detailed solutions. Express your answers in simplest form…

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Q: answers in terms of i,j and k.

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Q: Does the sequence {a,} converge or diverge? Explain. Find the limit if the sequence is convergent.…

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Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: topic - application of derivatives