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Paul G.

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Satyam Gupta verified

Numerade educator

Provide a counterexample to show that each statement is false. You may use words or a diagram. If a four-sided figure has four congruent sides, then it has four right angles.

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Darshan Maheshwari verified

Numerade educator

Find the derivative of the function. $ f(t) = 2^{t^3} $

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Nicole Smina verified

Numerade educator

Proteins, which have diverse functions in a cell, are all polymers of the same kinds of monomers-amino acids. Write a short essay (100-150 words) that discusses how the structure of amino acids allows this one type of polymer to perform so many functions.

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Hubert Agamasu verified

Numerade educator

(a) Use the data in Problem 1 to construct a smooth graph of position versus time. (b) By constructing tangents to the $x(t)$ curve, find the instantaneous velocity of the car at several instants. (c) Plot the instantaneous velocity versus time and, from this, determine the average acceleration of the car. (d) What was the initial velocity of the car?

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Prabhat Tyagi verified

Numerade educator

X rays with initial wavelength 0.0665 nm undergo Compton scattering. What is the longest wavelength found in the scattered x rays? At which scattering angle is this wavelength observed

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Eduard Sanchez verified

Numerade educator

Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating due south at a speed of 4.0 m/s. Neil is in front of her. With respect to the ground, Neil is skating due west at a speed of 3.2 m/s. Find Neil’s velocity (magnitude and direction rel- ative to due west), as seen by Barbara.

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Babita Kumari verified

Numerade educator

In Exercises $23-28,$ find a parametrization for the curve. the line segment with endpoints $(-1,-3)$ and $(4,1)$

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Nicholas Sacco verified

Numerade educator

Devise a synthesis of OHC(CH2)4CHO from cyclohexane using any required organic or inorganic reagents.

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Emptying a cistern The rectangular cistern (storage tank for rainwater) shown has its top 10 ft below ground level. The cisterm, currently full, is to be emptied for inspection by pumping its contents to ground level. \begin{equation}\begin{array}{l}{\text { a. How much work will it take to empty the cistern? }} \\ {\text { b. How long will it take a } 1 / 2-\text { hp pump, rated at } 275 \mathrm{ft} \text { -lb/ sec, }} \\ \quad {\text { to pump the tank dry? }} \\ {\text { c. How long will it take the pump in part (b) to empty the tank }} \\ \quad {\text { halfway? (It will be less than half the required to empty }} \\ \quad {\text { the tank completely.) }} \\ {\text { d. The weight of water } \text { What are the answers to parts (a) }} \\ \quad {\text { through (c) in a location where water weighs } 62.26 \mathrm{lb} / \mathrm{ft}^{3} \text { ? }} \\ \quad {62.59 \mathrm{lb} / \mathrm{ft}^{3} \text { ? }}\end{array}\end{equation}

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Hubert Agamasu verified

Numerade educator

$\cdot$ CE The position-versus-time plot of a boat positioning itself next to a dock is shown in FlGURE $2-34$ . Rank the six points indicated in the plot in order of increasing value of the velocity $v,$ starting with the most negative. Indicate a tie with an equal sign.

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