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Consider the function f(x,y,z) = (e^z)ln(x^2 + y^2)
a) Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
b) Is there a vector r such the directional derivative of f at (1,1,0) in the direction of r equals to -2? If there is, find one such vector. If not, explain why not.
To what extent does "The Garden Party" appear to embody feminist values?
Chloral hydrate, a sedative, contains C 14.52%, H 1.83%, Cl 64.30%, and O 19.35%. If it has a molar mass of 165.42 g, what is the molecular formula of chloral hydrate?
If Hoffman accepts the special order, the company would not have to pay its salespeople their normal commission of $2 per unit, but the company would incur a shipping cost of $3 per unit on the items in the special order. If Hoffman accepts the sp..
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
At a volume of 5,000 units the company incurs $25,000 in factory overhead costs. If volume increases to 10,000, illustrate what would the expected total overhead costs be?
How can you tell when looking at organic compounds what is saturated? Here are some examples?
Assume the probability that a person has the desease is 0.03 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Alternatively, SCCC can rent a pre-fabricated building at a cost of $1000 per month with no set-up or dismantling costs. It will benefit SCCC to build the office if it expects the stadium project to exceed.
4 PH3(g) -> P4(g) + 6 H2(g) If, in a certain experiment, over a specific time period, 0.0039 mol PH3 is consumed in a 1.8 L container during each second of reaction.
The Dotson Company, owner of Bleacher Mall, charges Rich Clothing Store a rental fee of $600 per month plus 5% of yearly profits over $500,000. Matt Rich, the owner of the store, directs his accountant, Ron Hamilton, to increase the estimate of ba..
Composition of Functions and Isomorphisms, I can't prove the following statements about functions f:A->B and g:B->C, 1. If gof is one-to-one then so is f.
Now choose a linear inequality of the form 5y 2x - 8. What are the major differences between the linear equation graph and the linear inequality graph?
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
Calculate the probability of rolling dice and obtaining a 3 or a 5 consecutively three times?
Discuss an example of a way you use, or can use, a system of equations in your life? Describe a situation where a system of equations has no solution, and prove it mathematically.
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
Matrice operations
the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
State the null and alternative hypothesis and test the claim
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
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