Numerade

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a. Use the definition $m_{tan} = \lim_{x \to a} \frac{f(x)-f(a)}{x-a}$ to find the slope of the line tangent to the graph of f at P. b. Determine an equation of the tangent line at P. c. Plot the graph of f and the tangent line at P. $f(x) = x^2 - 5$, P(5,20) a. $m_{tan} = \Box$

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Your company decided to save money by moving disaster recovery operations from a hot site at a secondary data center to a cloud provider. What expense or technical challenges will likely be least affected?

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Simplify completely the expression below reducing all common factors as far as possible. $\frac{(3-x)^{1/5}(5) - \frac{1}{5}(3-x)^{-4/5}(-1)(5x-7)}{(3-x)^{2/5}}$ Give your answer in the form $\frac{Ax+B}{k(3-x)^p}$ where $k$ is a positive integer, and $A$ and $B$ are integers. Enter your answers for $A$, $B$, $k$ (must be positive), and $p$ below. A = B = k = p =

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a sound level difference of 20dB corresponds to what factor of intensities

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Q1. Figure 1 depicts a system of connected bars of uniform cross sections. The cross section for all bars is a hollow circular section of inner radius of 8 mm and an outer radius of 10 mm. All segments are made of aluminium with the Young's modulus of E = 0.7 x 10$^5$MPa. For this system: a) Determine the reaction force at A b) Draw the axial force diagram c) Determine the bar with maximum (absolute value) axial load d) Calculate the stresses and strains in each bar e) Calculate the displacements and their signs at points B, C and D [3 marks] [5 marks] [2 marks] [4 marks] [6 marks] A B C D 10 KN 10 KN 8 KN 3 m 2 m 1 m Figure 1

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As shown in (Figure 1), a layer of water covers a slab of material X in a beaker. A ray of light traveling upward follows the path indicated. Assume that $\theta_1 = 45^\circ$ and $\theta_2 = 69^\circ$.

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Calculate the derivative of the functions: (d) k(x) = e^(2x)(2x - 7)^(5) (e) s(x) = √(3 + cos(x^2)) + 2e^(-3x) 4. Determine the equation of the tangent line to the function f(x) = x√(x^2 + 1) at x = 0. Equation (in Slope-intercept form): 3 of 4

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Determine the value of the series \sum_{n=1}^{\infty} \frac{3^n}{4^{n-1}} \newline a. \frac{4}{3} \newline b. 12 \newline c. \frac{9}{4} \newline d. \frac{3}{4}

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If an endosymbiont becomes completely dependent on its host organism and can no longer exist as a free-living organism, what is a reasonable long term impact on the genetics of the endosymbiont?

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polymerization. b) the addition of a drug that binds to the plus end of microtubules and prevents GTP-tubulin from binding will promote microtubule depolymerization.

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fernando c.