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Gabe Caskre

Gabe C.

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$$ \begin{array}{l}{\text { (a) What is the area that is enclosed by one petal of the rose }} \\ {r=a \cos n \theta \text { if } n \text { is an even integer? }} \\ {\text { (b) What is the area that is enclosed by one petal of the rose }} \\ {r=a \cos n \theta \text { if } n \text { is an odd integer? }} \\ {\text { (c) Use a CAS to show that the total area enclosed by the }} \\ {\text { rose } r=a \cos n \theta \text { is } \pi a^{2} / 2 \text { if the number of petals is }} \\ { \text { even. [ Hint: See Exercise }78 \text { of Section } 10.2 .]} \\ {\text { (d) Use a CAS to show that the total area enclosed by the }} \\ {\text { rose } r=a \cos n \theta \text { is } \pi a^{2} / 4 \text { if the number of petals is }} \\ {\text { odd. }}\end{array} $$

$$ \begin{array}{l}{\text { (a) What is the area that is enclosed by one petal of the rose }} \\ {r=a \cos n \theta \text { if } n \text { is an even integer? }} \\ {\text { (b) What is the area that is enclosed by one petal of the rose }} \\ {r=a \cos n \theta \text { if } n \text { is an odd integer? }} \\ {\text { (c) Use a CAS to show that the total area enclosed by the }} \\ {\text { rose } r=a \cos n \theta \text { is } \pi a^{2} / 2 \text { if the number of petals is }} \\ { \text { even. [ Hint: See Exercise }78 \text { of Section } 10.2 .]} \\ {\text { (d) Use a CAS to show that the total area enclosed by the }} \\ {\text { rose } r=a \cos n \theta \text { is } \pi a^{2} / 4 \text { if the number of petals is }} \\ {\text { odd. }}\end{array} $$

Calculus Early Transcendentals

PARAMETRIC AND POLAR CURVES; CONIC…

Tangent Lines, Arc Length, and Area for…
Which species has the smaller bond angle, ClO4 - or ClO3 -? Explain.

Which species has the smaller bond angle, ClO4 - or ClO3 -? Explain.

Chemistry: Structure and Properties

Use formal charge to identify the better Lewis structure.

Use formal charge to identify the better Lewis structure.

Chemistry A Molecular Approach

Questions asked

INSTANT ANSWER

\[ 2 \mathrm{C}_{8} \mathrm{H}_{18}+25 \mathrm{O}_{2} \longrightarrow 16 \mathrm{CO}_{2}+18 \mathrm{H}_{2} \mathrm{O} \] 3. (a) What volume of \( \mathrm{O}_{2} \) is required to react with \( 10.0 \mathrm{~g} \) of gasoline (octane \( \mathrm{C}_{8} \mathrm{H}_{18} \) ) if the pressure is 742 torr and the temperature \( 21.3^{\circ} \mathrm{C} \) ? First write out the equation for this reaction \[ p V=n R T \] You can relate volume to grams using moles. First calculate the number of moles of \( \mathrm{O}_{2} \) required. \( 10.0 \mathrm{~g} \mathrm{C}_{8} \mathrm{H}_{18} \cdot \frac{1 \mathrm{mel} \mathrm{C}_{8 H_{18}}}{114.2 \mathrm{gg}_{\mathrm{g} H}^{\mathrm{H}}+8} \cdot \frac{25 \mathrm{~mol} \mathrm{O}_{2}}{2 \mathrm{~mol} \mathrm{C}_{818}}=1.09 \mathrm{~mol} \mathrm{O}_{2} \) (b) What volume of \( \mathrm{CO}_{2} \) will be produced in this reaction? Remember equal volumes contain (c) If the same quantity of gasoline bums in air under the same conditions of temperature and pressure, will the volume of air required be more than, equal to or less than the volume of pure oxygen. Air is approximately \( 21 \mathrm{~mol} \% \) oxygen. Calculate the volume of air required for this reaction. \( \left(\mathrm{V}_{\text {air }}=\mathrm{V}_{\mathrm{O}} ; \mathrm{pO}_{2}=\underline{\mathrm{nO}}\right. \); ; ise Ideal gas equation.

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INSTANT ANSWER

Attached are parts a and b for reference, I just need part c.

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INSTANT ANSWER

b. Write out Neuton's Second Law in the \( x \) ind \( y \) directioms. d and any ocher fundamsntal cosstanss. e. Summarise, what is the expeewioa fot preswee band ost

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INSTANT ANSWER

1. A small marble rolls horiuontally with speed \( v_{\text {, off the top of a platiorm } 2.75 \mathrm{~m} \text { tall and feek mo }} \) appreciable air resistance. On the level ground, \( 2.00 \mathrm{~m} \) trom the base of the platform, there is \( \mathrm{Z} \) gaping hole in the ground For what range of marble speeds \( v_{,} \)will the marble land in the hole?

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ANSWERED

Ankur S verified

Numerade educator

A marble is attached to a string in is swung in a clockwise horizontal circle. If the marble is SPEEDING UP (increasing velocity) as it does this, which of the following vectors best represents the direction of the acceleration of the marble in the position shown?

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ANSWERED

Ankur S verified

Numerade educator

Which vector below represents the direction of the acceleration of the marble?

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ANSWERED

Ankur S verified

Numerade educator

Which vector below represents the direction of the net force exerted on the marble?

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ANSWERED

Ankur S verified

Numerade educator

If the string broke at the position shown below, in which direction would the marble move?

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ANSWERED

Ankur S verified

Numerade educator

If the string broke at the position shown below, in which direction would the marble move?

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ANSWERED

Supratim Pal verified

Numerade educator

A guitar string is vibrating in simple harmonic motion. As the string is moving away from the center position toward the side position, what happens to a) the velocity of the string and b) the acceleration of the string?

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