Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial Intelligent Apps 1. Solution must be hand-written 2. Step by step clear explanation 6. (f) Find the following limits. Use L' Hopital's Rule f) lim x-2 -16

The monthly profit from the sales of x units of a product is P = 80x – 0.04x2 - 12, 000 dollars. Determine the maximum possible monthly profit. When entering.your answer: If necessary, round your answer to the nearest cent. · Do not enter the $ sign or the word "dollars." · Do not enter any commas.

I sold something on ebay and I go to the UPS store to ship the package. The cost for the box is $3, and it cost $4.50 per pound to ship. 1) Write an equation to model this situation. 2) Is the domain discrete or continuous? Explain First you will input the equation, then submit it, then you will be asked to explain.

Find the range of the quadratic function. y=2x²+12x+17 Write your answer as an inequality using x or y'as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer. 0 Explanation 79°F Partly sunny Check ☐O 00 reals S a ©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | P

Y= -1/2(x+6)^2 + 8 I would like to know how to find the 1: vertex 2: range 3: horizontal intercept.

> Find the extreme value(s) and inflection point(s) of lim xe ,-2x * Write your answers as ordered pairs.

Find the quadratic y ax²+bx+c that best fits the data points (-2,-43), (-1, 79), (0, −55), (1, −5), (2, 4). a = b C =

how do i find the domain and range and write in interval notation ? what are the x and y intercepts as ordered pairs ? step by step please

Based on a grade 10 student, answer the following question: Consider the quadratic relation y=2x^2-4x+5  a. Convert to vertex form by completing the square. b. Explain whether this relation has a maximum or a minimum.

Use calculus to justify your answer and show your work. A farmer plans to fence a rectangle pasture next to a river. The pasture must contain 114242 square feet. No fencing is needed along the river. What demensions will require the least amount of fencing?  objective function in one variable: dimensions: total amount of fencing: