Suppose a bacterial population at any given point in time is given by N(t). Suppose that...

Suppose a bacterial population at any given point in time is given by N(t). Suppose that it grows at 1.8 percent per hour. Construct differential equation to capture the population growth dynamics and present its definite solution. Suppose there are 10000 cells at time zero. How many cells will there be in 24 hours?

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milcah answered 2 years ago

Find T(t), N(t), aT, and aN at the given time t for the space curve r(t)....

Find T(t), N(t), aT, and aN at the given time t for the space curve r(t). [Hint: Find a(t), T(t), aT, and aN. Solve for N in the equation a(t)=aTT+aNN. (If an answer is undefined, enter UNDEFINED.) Function Time r(t)=9ti-tj+(t^2)k t=-1 T(-1)= N(-1)= aT= aN=

Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3)...

Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3) (t3), t > , < 4, -16/3, -2>

Suppose the population of fish in a lake in month t is given by the equation...

Suppose the population of fish in a lake in month t is given by the equation F(t) = 800 − 500e-0.2t (a) Plot the equation for t in the interval [0,24]. (b) Is the function increasing, decreasing or neither? Is it concave up, down, or neither? (c) As t → ∞, F (t) →( ). Fill in the blank and explain what this means in words.

Given a binary search tree T with n elements. For any two keys k1 and k2...

Given a binary search tree T with n elements. For any two keys k1 and k2 such that k1 < k2, there is an algorithm to print all elements x in T such that k1 ≤x ≤k2 in O(K + log n) time on average, where K is the number of the elements printed out.

Given a binary search tree T with n elements. For any two keys k1 and k2...

Given a binary search tree T with n elements. For any two keys k1 and k2 such that k1 < k2, there is an algorithm to print all elements x in T such that k1 ≤x ≤k2 in O(K + log n) time on average, where K is the number of the elements printed out.

a) Let T(n) be a running time function defined as T(n) = 3n^2 + 2n +...

a) Let T(n) be a running time function defined as T(n) = 3n^2 + 2n + 5, is this ϴ(n^2 )? Explain prove your answer using the definitions of big-o and omega notations. b) Solve the following recurrence relations using Master theorem. a. ?(?) = 3? ( ?/3 ) + ? b. ?(?) = 5?( ?/2 ) + 2?^2 please help them with both

The formula for the amount A in an investment account with a nominal interest rate r at any time t is given by A(t) = a(e)rt, where a is the

The formula for the amount A in an investment account with a nominal interest rate r at any time t is given by A(t) = a(e)rt, where a is the amount of principal initially deposited into an account that compounds continuously. Prove that the percentage of interest earned to principal at any time t can be calculated with the formula I(t) = ert − 1.

Suppose, at a given point in time, Chez Rachael is a non-price discriminating monopolist selling ratatouille...

Suppose, at a given point in time, Chez Rachael is a non-price discriminating monopolist selling ratatouille and is producing its profit-maximizing level of output. Suppose further that at this level of production, Rachael's average fixed cost of producing ratatouille is $2, her average total cost is $10, and her marginal cost is $12. At her current level of production, what is… a) Rachael’s average variable cost of producing ratatouille? b) Rachael’s marginal revenue from selling ratatouille? c) the price of...

Suppose we run mergesort (T(n) ≈ nlogn) on a very slow computer and bubblesort (T(n) ≈...

Suppose we run mergesort (T(n) ≈ nlogn) on a very slow computer and bubblesort (T(n) ≈ n2) on a fast computer so it happens that the two programs take the same amount of time to sort an array of size 100. Next we do the same experiment, except this time the array size is increased to (10) ^ 4 for both algorithms. What is the expected ratio of the new runtimes (bubblesort time divided by mergesort time) ? (Type your answer...

at time t= 0 , a particle is located at the point (4,8,7). it travels in...

at time t= 0 , a particle is located at the point (4,8,7). it travels in a straight line to the point (7,1,6) has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. find an equation for the position vector r(t) of the particle at time t

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Suppose a bacterial population at any given point in time is given by N(t). Suppose that...

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Find T(t), N(t), aT, and aN at the given time t for the space curve r(t)....

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