Numerade

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Question: The simply supported beam is subjected to distributed forces as shown in below figure: We want to simply the above problem by taking the integration of the distributed forces and reducing into the equivalent force loading as: The calculation of the acting force due to distributed loading w(x) can be formulated as a function: F_(1)(x)=\int_0^x w(t)dt=\int_0^x 50e^(20t(t^(2)-0.15))dt,F_(T)=F_(1)(0.3) Using the above definition, the distance " x_(f) " can also be formulated as: x_(f)=(\int t.w(t)dx)/(\int w(t)dx)=(F_(2)(x))/(F_(1)(x))=\int_0^x 50e^(20t(t^(2)-0.15))dt=\int_0^x 50e^(20t(t^(2)-0.15))dt=\int_0^x t50e^(201(t^(2)-0.15))dt,F_(2)(0.3)/(F_(1))(0.3) Find the force " F_(T) " and the position " x_(f) " of the equivalent system using Taylor series expansion for F_(1)(x) And F_(2)(x) expanded at point " 0 ". Write all your calculations in detail (if you use a computer program, attach the derivations to the submission, submission must be a single file) at each iteration. Starting from the TS0 expansion, continue your iteration until approximate fractional error satisfies the \epsi _(s)=0.1 value for integral calculations of F_(1)(x) and F_(2)(x). Show your final " x_(f) " and " F_(T) " value on the equivalent system.

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Question 3, Dropping Supplies (70 points): A plane is flying horizontally at an altitude $h = 2$ km above the ground. It is traveling at a speed of 220 m/s (about 500 mph). The plane will drop a large crate of supplies near a refugee camp. A large target has been constructed for this purpose. How far (along the horizontal axis) should the plane be when it releases its cargo?

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Which statement contains a mistake in the described cell cycle mechanism? If there are no mistakes, select the last option. Group of answer choices 1. Upon receiving a mitogenic signal in G0, the cell begins to produce cyclin D, facilitating entry into G1. 2. Cyclin D binds to CDK4/6 and the cyclin D-CDK4/6 complex phosphorylates Rb. 3. phospho-Rb detaches from E2F and deactivated E2F translocates to the nucleus where deactivated E2F promotes the transcription of genes needed for DNA synthesis, e.g., cyclin E. 4. When cyclin E levels are high enough, cyclin E binds to Cdk2, pushing the cell into S phase. 5. No mistake in this mechanism

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The "Whiskey Rebellion" Group of answer choices caused the Constitution tobe written showed th weaknessof the new President showed the weakness of the new U.S. government showed the strength of the new US government

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Which of the following represents the strongest ratio solution a. 7:30 b. 6:50 c. 9:60 d. 2:5

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(1 point) Consider the function $f(t) = \begin{cases} 0 & \text{if } 0 \le t < 1 \\ 9 & \text{if } 1 \le t < 4 \\ 0 & \text{if } 4 \le t < \infty \end{cases}$ a. Use the graph of this function to write it in terms of the Heaviside function. Use $h(t - a)$ for the Heaviside function shifted $a$ units horizontally. $f(t) = 9[h(t-1)-h(t-4)]$ (formulas) help b. Find the Laplace transform $F(s) = \mathcal{L}\{f(t)\}$ for $s \ne 0$. $F(s) = \mathcal{L}\{f(t)\} = 9h(t-1)-9h(t-4)$ (formulas) help

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Assume that you want to retire 30 years from now with an amount of money that will have the same value (purchasing power) as $2 million today. If you believe the inflation rate will average 2.8% per year, determine the amount of future dollars you will need. The amount of future dollars you will need is $ \boxed{} . (Enter your answer in dollars and not in millions of dollars.)

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List $U$ using the roster method.

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Problem 4: Find $H'(U_0)$ where $H(U) = F(G(U))$. Check your results by expressing H directly in terms of U and differentiating. $F(x, y) = \begin{bmatrix} x^2 - y^2 \\ \frac{y}{x} \end{bmatrix}$, $G(u, v) = \begin{bmatrix} v \\ v \cos u \\ v \sin u \end{bmatrix}$, $U_0 = (\frac{\pi}{4}, 3)$

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Solve the following initial value problem.\ y'' + 9y = 4 \sin 2x; y(0) = 1, y'(0) = 0\ The solution is y(x) =

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