Use tools from Calculus to address each of the following optimization questions. Write omplete answer including all relevant reasoning. Good answers will include sentences to -lain the reasoning. 1. In League of Legends, a player's Effective Health when defending against physical damage is given by E = 4100+A), where H is health and A is armor. • Ten minutes into the game, you have 1080 health and 10 armor. That gives you a current Effective Health of 1188. • Additional Health costs 2.5 gold per unit, and additional Armor costs 18 gold per unit. • You have only 720 gold to spend You need to buy additional units to optimize your Effective Health E to survive as long as possible against the enemy team's attacks.

Q: The bar graph shows discretionary spending by full and part-time college students in some country…

A: In the question we have to find value at 2007 and whether formula given overestimated value or…

Q: Karen's earnings vary directly with the number of hours she works. Suppose that she worked 9 hours…

A:

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: NIKKI'S WALK At the beginning of the semester, Nikki was walking 60 minutes a week. She wants to add…

A: Beginning of the semester, she walked 60 minutes a week. She wants to add 5 minutes each week

Q: 6. Determine the equation of the circle whose center is at (4, 5) and tangent to the circle whose…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2 If the weight of the backpack is (5x - 15) pounds, find the value of x. (5x - 15) X = 6 pounds

A:

Q: The average amount of money y spent per person per year on music from iTunes from 2008 to 2013 can…

A: (a) Consider  y=fx=-5.74x+38.05. f1=-5.741+38.05=32.31f3=-5.743+38.05=20.83f5=-5.745+38.05=9.35

Q: ber 5. A taxi charges $2.50 for a ride plus $1.25 per mile traveled. The total charge for one ride…

A: Answer and explanation is given below...

Q: For AY 1 1. Find b. 4 b 2 1370

A:

Q: Kaylee is unpacking boxes of magazines at a bookstore. To track her progress, she records the number…

A: The linear relationship between two variables,: x, y is represented by the equation:y=ax+b, where a,…

Q: Write equation for “Seven times a number increased by 5 is the same as twice the number increased by…

A:

Q: Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour. a. Write two…

A:

Q: Write an equation that represents the following statements: The height (H) of a shape is 6 less than…

A: Given:- The height (H) of a shape is 6 less than 3 times its volume (V). The weight (W) of an…

Q: A landscaping company is delivering crushed stone to a construction site.  The table shows the total…

A: Given We have to take two points (0,0) ,  (1,3000)

Q: Translate the following phrase into an algebraic expression using the variable x. Do not simplify.…

A:

Q: Here n represents the number of items produced. Use this formula to determine the cost associated…

A:

Q: A construction crew is lengthening a road. Let y represent the total length of the road (in miles).…

A: Let x denote the number of days the crew has worked and y denotes the length of the road. According…

Q: . Justin wants to buy a new bike that costs $115. He has $40 and plans to save $15 each week. Define…

A: The answer is given below

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.