Numerade

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Simplifying a product and quotient involving square roots of negative... Simplify the expressions below as much as possible. Leave no negative numbers under radicals and no radicals in denominators. $\sqrt{49} \cdot \sqrt{-100} = \boxed{} \frac{\sqrt{-55}}{\sqrt{5}} = \boxed{}$

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Evaluate the indefinite integral.\\ $\int 3e^{3t} \sin(e^{3t}) dt = $

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In order to be packaged into a chromosome, DNA is wound around histone proteins to form a(n) structure.

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QUESTION 4 \int_2^7 f(x)dx = 10, \int_5^{12} f(x)dx = 30, \int_2^{12} f(x)dx = 23, \int_2^7 2g(x)dx = 16, \int_2^{12} 5g(x)dx = 75, then which are true? \int_2^5 f(x)dx = 7 \int_2^7 (g(x) - 2f(x))dx = -12 \int_7^{12} g(x)dx = 7 \int_5^7 f(x)dx = 17

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Question 3 of 13 , The curve y=ax^(2)+bx+c passes through the point (1,9) and is tangent to the line y=x at the origin.

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Find $\frac{dx}{dt}$, $\frac{dy}{dt}$, and $\frac{dy}{dx}$. $x = 4t^3 + 5t$, $y = 6t - 3t^2$ $\frac{dx}{dt} = $ $\frac{dy}{dt} = $ $\frac{dy}{dx} = \frac{6 - 6t}{12t^2 + 5}$

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Rigid body translation 2. A motorcycle is riding in a straight line on a horizontal surface when the rider increases the flow of fuel to the engine to increase the output torque. The result of this is a constant torsional moment to the axle of the 0.4 m diameter rear wheel of value 100 Nm. Given the total mass of the bike plus rider is 400 kg and the center of mass is at a height of 0.5 m above the road and located midway between the two wheels, determine both the acceleration of the bike and rider and the forces on the wheels during this acceleration. (100% points) 2 m Figure 1: Motorcycle dimensions used for question 2.

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3) What is the capitalized cost if I want to endow a University program that has annual costs of $140,000 at 7% per year interest? (2 pts.) A) 2,000,000 B) 2,500,000 C) 2,750,000 D) 3,250,000

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Flra) The domain and range of the function represented by the graph. Domain: Range:

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Question 1: [5 Marks] What is the time complexity for each of the following: a) int i = 0, b = 0; b) int i = 0; c) for (i = 0; i < n; i++) rand(); d) for (j = n; j > i; j--) a = a + 1 + j; e) for (j = 0; j < m; j++) b = b + rand(); int i = 1; int j = 2; int sum; sum = x * y; cout << sum; int i = 1; while (i > 0) { i += 1; i /= 2; } int i = 1, j, k = 0; for (i = n / 2; i <= n; i++) { for (j = 2; j <= n; j++) { k = k + n / 2; } } 2) Question 2: [3 Marks] Apply the Selection sort algorithm on the following sequence: 90, 100, 70, 30, 99. Question 3: [2 Marks] Reorder the following time complexity increasingly: Log2^8, Log2n, n^2, n^7, 10, Log2n.

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ignacio l.