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Find the second partial derivative, .

Find the local maximum and minimum value and saddle point of the function. Type your answer as “local maximum =”, “local minimum =”, and “saddle point =”. If an answer does not exist, enter DNE.

For the given function below find:(a) Find the general gradient vector of .(b) Find the directional derivative of f at point P in the direction of the unit vector

Suppose that z is defined implicitly as a function of x and y. Use implicit differentiation to find

Use multiple paths to show that the limit does not exist.

A 55-lb dog requires an injection of a drug in a 3% solution. The dose rate for the dog is 2 mg/kg/day. How many mL of injection will the patient need per dose?

L1.4: ¿Qué hora es?: Read the following statements and select the correct option. (6 x 2 pts. each = 12 pts.) [1] Son las nueve y treinta de la mañana. [2] Es la una y quince de la tarde. [3] Son las seis y diez de la mañana. [4] Son las tres en punto de la tarde. [5] Es la una y veinte de la tarde. [6] Es la una menos veinte de la tarde.

Cultura: Based on the Cultural reading from pages 10-11, indicate whether these statements are true (cierto) or false (falso) (5 x 2 pts. each = 10 pts.) [1] In the Spanish-speaking world, public space is treasured. Small city and town life revolves around the plaza principal. [2] Shaking hands is not appropriate for a business setting in Latin America. [3] Spaniards greet with one kiss on the right cheek. [4] Men never greet with a kiss in Spanish-speaking countries [5] The plaza is designated as a central meeting place for family and friends.

Find all movies directed by someone whose name contains “son”. Order by director (A-Z), then by title (A-Z).  

Display all movies directed by Quentin Tarantino, Martin Scorsese, or Christopher Nolan. Order by director (A-Z).