Two students were playing the same game. The difference in points that each scored for the game can be modeled by the function y=5sinx+3sinxcosx. Within the interval 0

Q: The marketing department of a phone company used İzmir to test market the firm’s new model. They…

A: Given: the demand function p=750-0.1x2 where x denotes the number of units demanded per week So, the…

Q: You are analyzing your bills in MERALCO for the consecutive months. Using your bill at home express…

A: Solution...

Q: An object attached to a spring oscillates around a position and is represented by the function…

A: Object is attached with a string and it's oscillating. It's height is represented by an equation…

Q: A theater owner charges $5 per ticket and sells 250 tickets. By checking the prices and number of…

A: x=250-10(x-5) y=250-10(x-5)

Q: A bike shop on a resort island can rent all of its 100 bicycles each day at $26 per day. However,…

A:

Q: Cholesterol Researchers have found that the risk of coronary heart disease rises as blood…

A: The risk of heart attack and the level of cholesterol are related to each other by the equation…

Q: Determine the fee which should be charged to maximize daily beach      revenues.

A: Given: The function which expresses the average number of cars per day q as function of parking gee…

Q: Altmar Electronics manufactures radios and sells them for $50 each. If the costs incurred in the…

A:

Q: The reproduction function for the North American duck is estimated to be f(p) = -0.02p2 + 7p, where…

A: Formula: The vertex of quadratic function y=ax2+bx+c is given by, -b2a, f-b2a Given: The…

Q: The population dynamics of many fish species (such as salmon) can be described by the Ricker curve:…

A: Solve by using condition of Maxima.

Q: C. The cost to maintain inventory for the weather balloons is given by C(x) 21,500 %3D + 2.4x ,…

A:

Q: A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​…

A: A function T(x) is givenT(x)=-0.25x4+x3,       0≤x≤3

Q: A sales team estimates that the number of hew phones it will sell is a function of the orice that it…

A: Follow the procedure given below.

Q: The total cost​ (in dollars) of manufacturing x auto body frames is C(x)=40,000+400x. ​(A) Find the…

A: The cost function of manufacturing x auto body frames is given by Cx=40,000+400x. (A) Evaluate the…

Q: One of the two tables below shows data that can best be modeled by a linear function, and the other…

A: To identify the given functions maybe just need to compare the values using general form of linear…

Q: Word problem

A: (a) Sketch the profit versus the number of bicycles sold as follows. Since the minimum number of…

Q: A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates…

A:

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A: answer : 3.592 seconds y = 5sinx+3sinxcosx and y = -1 -1 = 5sinx+1.5sin2x therefore x = 3.592

Q: A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy…

A:

Q: One of the two tables below shows data that can best be modeled by a linear function, and the other…

A: First compute the first order and second order difference in given table: since the successive…

Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

A: f(x)=1392-3x The company's revenue is R(x)=x(1392-3x)R(x)=1392x-3x2 Now we need to find out the…

Q: During the first quarter of the school year the officers –elect of the Supreme Student Government…

A:

Q: 23. Determine the maximum and minimum value of the function fx) = -xe + 2. 24. A boy is selling…

A: Note: as per our guidelines we are supposed to answer only one question.* *Kindly repost other…

Q: A company has started selling a new type of s tphone at the price of $110-0.05x where x is the…

A: Use the relation Profit = Revenue - Cost to write the equation. The revenue of x number of mobiles…

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A:

Q: A leading firm requires a software for its internal use. The firm wants to evaluate whether it is…

A: In house development costs are modeled by the equation:c = 35,000 + 1.75 * xwhere, c is the cost, x…

Q: A straight piece of wire 4 meters long is used to make an equilateral triangle and a square, or…

A: topic -functions and application of derivatives

Q: A leading firm requires a software for its internal use. The firm wants to evaluate whether it is…

A: Let the x be the lines of code developed The inhouse costs include the overhead costs $35000.…

Q: The table below contains a sample of points from linear functions Y1 and Y2. Use it to solve the…

A: Given table is,

Q: The marketing research department for a computer company used a large city to test market of their…

A:

Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C= 05.x+7100,  0…

A: (a) Write the profit function for this situation.For the range, 0 ≤ x ≤ 50,000 Profit function =…

Q: At the National Council of Teachers of Mathematics (NCTM) illuminations website, students are…

A: Given, f(h)=0.8 + 88h-10 The total Distance need to be travelled  by the bird = D = 2 × height ×…

Q: A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to…

A: The unit cost for x number of X-ray machines is C(x) = 0.5x2 - 160x + 24,034

Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C=0.2x+7900,…

A:

Q: Module 4: Participation Activity #5 3x-1 Find the critical points of the function f (x) = x+6 Enter…

A: We find f'(x) using the quotient rule

Q: What x value maximizes y in the function y^2 +y+x^2-2x=5

A: The given equation is y2+y+x2-2x=5. for maximum value of y, the derivative dydx must be zero. Thus,…

Q: The total revenue function for a certain product is given by R= 870x dollars, and the total cost…

A:

Q: A store can sell 12 telephone answering machines per day at a price of $200 each. The manager…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A cosmetics company is planning the introduction and promotion of a new lipstick line. The marketing…

A: To find the price at which the revenue is maximized

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

Q: A rancher wants to enclose an area of 3000000 square feet in a rectangular field and then divide it…

A:

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A:

Q: A clothing company determines that its marginal​ cost, in dollars per​ dress, is given by the…

A:

Q: The sales function for a product is given by S(x)=127+30.6x2−0.6x3S(x)=127+30.6x2−0.6x3, where x…

A: Given Sales function for a product is, S(x)=127+30.6x2-0.6x3,  where x represents thousands of…

Q: Suppose for a company the function of income (in dollars) is given by R(x)=-0.12x^3+1,296x+12201…

A:

Q: A company has started selling a new type of smartphone at the price of $110-0.05x where x is the…

A: Given that: Selling price of each smartpohne=$110-0.05xCost of parts for each smartphone =$ 50Labor…

Q: The cost in dollars of making x items is given by the function C(x)=10x+800.   a. The fixed cost…

A: We have,               The cost in dollars of making x items is given by the function C(x)=10x+800.

Q: Identify the point of diminishing returns for the input-output function. R is the revenue and x is…

A: Given the Revenue function R=-4/7(x3-3x-5). We need to find the point of diminishing returns for…

Q: A music store sells an average of 160 CDs per week at each. The cost of producing x music CDs is…

A: 1st we need revenue function in terms of number of CD sold and then find corresponding revenue and…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.