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You are at the point (3, 5, 10) on a surface at that point the slope of the tangent line to slice in the x direction is 2 and the slope of the tangent line to the slice in the y direction is 1. If you move the equivalent of 1/2 unit horizontally in the direction of the vector (4,-3) estimate the height at your new location on the surface.
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
On the other hand, the interest earned during that year was 22% rather than 20%. What is the total per contract gain for this year?
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
The March 1 unpaid balance in an account was $115. On March 8, a payment of $35. was made.No new purchases were made in March. The finance charge rate was1.3% per month of the average daily balance. Find the new balance at the end of March.
How many distinguishable permutations can be made of the letters in the word AMERICA and consider the statement "There does not exist a narwhal that can live on land." Write an equivalent English statement that begins with the words "Every narwhal.
The quadratic equation has a portion known as the discriminate. What is the discriminate? What is it used for and what can it tell you about the quadratics?
jims nephew owns a triangled plot of land. the perimeter fence that surrounds the land measures 121 feet. shortest
Find the five number summary for the data for all five departments. Consider all five departments one department
an investment of $12000 is deposited into two simple interest accounts. On one account, the annual simple interest rate is 7.8%. On the other, the annual simple interest rate is 9%. The total interest earned for one year is $1020. How much was inv..
Suppose that for a certain company C(x)=25 x+500,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total profit function and break even point.
Connie walks from her home to the bicycle repair shop at 6km/h and then bikes home at 20km/h. If the total traveling time is 39 minutes, how far is it from her home to the repair shop?
cording to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 45mph and 130mph.
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