Numerade

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The distance between identical parts of a wave is called the

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Find the balance if $25000 is invested in an account paying 4 % interest compounded quarterly for 25 years. The balance will be $

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A.) What is the density of 18.0-karat gold that is a mixture of 18 parts gold, 5 parts silver, and 1 part copper? (These values are parts by mass, not volume.) Assume that this is a simple mixture having an average density equal to the weighted densities of its constituents. B.) Redo the calculation assuming parts per volume instead.

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Write the rational expression in lowest terms. \frac{(y-1)(y-3)}{(y-3)(y+9)}

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Use the information given about the angle $\theta$ to find the exact value of $\sin 2\theta$. $\tan \theta = \frac{7}{24}$, $\theta$ in quadrant III

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4. A mass-damper-spring system is found to deflect 5 cm when the static load of 100 N is applied. When the system is subject to a harmonic force, $f(t) = 100 \sin 25t$ in Newtons, it is found that the response $x(t)$ is lagging behind the force by the phase angle of $70^\circ$ and the amplitude of vibration is 4 cm. What is the damping ratio, natural frequency, mass, damping coefficient and the spring constant of this system?

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5) A vertical plate is submerged in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then express the force as an integral and evaluate it. ($\rho$ = 1000 kg/kg$^3$, $g$ = 9.8 m/s$^2$) (12 points) 4 m 2 m 6 m

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4-(60p) Consider the following function, perform one iteration of Newton's method, starting from the initial guess $x_0 = \begin{bmatrix} 10 \\ 10 \end{bmatrix}$.

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Problem 1: Tree Height Add a method to the Tree class that returns the height of the tree. The height of a tree is the maximum number of nodes between the root and a leaf. how to find the height ? can you show me the right code please?

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Q1. Write a java program to implement shearing of an object. Consider your own assumption of the object and shearing parameters. (6 marks). (Rubrics: x- shearing correct code – 2 marks and correct output 1 mark, y- shearing correct code – 2 marks and correct output 1 mark) with screenshot and output

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william h.