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A woman is enjoying a tropical drink while lying on a beach.  The acceleration due to gravity at her location is 9.78 m/s2. What gauge pressure must exist in the woman’s mouth if she is drinking through a straw extending 0.075 m above the surface of the drink? Assume the drink has a density of 1020 kg/m3.

Solve the initial value problem.Differential Equation: = i + (3t3 – 6t)j + kInitial Condition: r(0) = 2j + (ln 2)k

Write the equation for the plane.The plane through the points P(5, -8, 28) , Q(-3, -6, 60) and R(-1, -8, 64).

Find the limit if it exists

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5 rad/s2.  What is its angular speed after it has turned through an angle of 628 radians?

How long does it take for a rotating wheel to speed up from 15 to 33.3 rad/s if it has an angular acceleration of 3.45 rad/s2?

A bicycle wheel of radius 0.7 m is rotating at an angular speed of 6.3 rad/s as it rolls on a horizontal surface without slipping. What is the linear speed of the wheel?

Find the center and radius of the sphere.x2 + y2 + z2 – 20x – 8y – 14z = -156

A meter stick is pivoted at the 50 cm line. A 3 kg object is hung from the 15 cm position. Where should a 5 kg object be hung to achieve equilibrium?

Cultura Answer the following questions based on what you have learned in the Vistazos culturales and the Panorama cultural sections. ¿Cuándo se independizaron  los países centroamericanos de España? [1]  Es más correcto hablar de la llegada de Cristóbal Colón a América como [2]. En muchas bodas en el mundo hispano [3]. En las bodas de los países hispanos es común usar símbolos como el rosario. ¿Cierto o falso? [4] Managua es la capital de [5]. Copán es una ciudad conocida por [6]. El Arzobispo Romero predicaba en contra de (preached against) [7]