The percentage of moth eggs that hatch at a given temperature Н () (degrees Celsius) is given by -0.53t + 25t – 209 for (15

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: At t= 1.824 hours , concentration will be maximum.....and its value = 0.47 microgram/ mL  For…

Q: On the graph of f(x) = sin x and the interval [-27, 0), for what value of x does f(x) achieve a…

A: First we draw a graph of sin(x) . Then we get at x=-π/2 sinx  achieve a minimum.

Q: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

Q: Average Linh has obtained scores of 82, 75, and 71 on hermidterm algebra exams. If the final exam…

A: Since Avearge Linh has obtained scores of 82,75 and 71 on her midterm algebra exams. If the final…

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: f(x) = x – e2x

A:

Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x +…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: Determine the threer-value candidates for absolute extremum on the interval [-3,1] for the function…

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in pesos) per…

A: Introduction: Differentiation has a wide range of applications in many fields of mathematics. One…

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

A:

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

A:

Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

A:

Q: The population density of a city is given by P(x,y) = - 25x - 30y + 500x + 240y + 180, where x and y…

A: Population density is given by following function  P(x, y) = - 25x2 - 30y2 +500x + 240y + 180

Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

A:

Q: A sales analyst determines that the revenue from sales of fruit smoothies is given by - 70x² + 420x…

A:

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A:

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function is, fx=x4+16x3+64x2+4.   a. To find the critical numbers.   First, differentiate the…

Q: Find the absolute maximum and minimum of ƒ(x) = 2x - 3x2/3 (a) on the interval [-1, 0.5]; (b) on the…

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Find the absolute maximum value of y = x³-3x2 + 2 in the interval [-1,3]. (-1,-2) (0,2) O (1,0)…

A:

Q: The product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is…

A: From the given information:The product exchange function for gasoline x and heating oil y is:

Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

A:

Q: Find the absolute maximum and absolute minimum of f(x) [5, 9]. * + x2 – 63x over the interval 3

A:

Q: maximum of the quantity xy2 where x and y are

A:

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A: Given:   Now, we need to find the value of x such that P(x) is the maximum. For simplicity, we plot…

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Solution:Given        f(x)=xe-3xTo find:(a)Critical Point(b)the open interval where the function is…

Q: The annual total revenue for a wis given by R(x)=24,000x-6x^2 dollars, where x is the number of…

A: To find maximum no of units sold. Also to find maximum possible annual revenue.

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given: The total daily profit of a certain food company for the sale of boxes of buko is given by…

Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.

A:

Q: 2) Sketch the graph of the floor function f(x) = x+31 over the interval [-4,2].

A:

Q: at the one-dimensional and n are constants.

A:

Q: It is given that at x = 1, the function x4 - 62x2 + ax + 9 attains its maximum value in the interval…

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks…

Q: Find three positive numbers x, y, and - whose sum is 15 and product is a maximum.

A:

Q: 4. Find the absolute minimum and absolute maximum values for y=3x²-12 x on the interval [0,3].…

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Q: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

Q: the absolute minimum of f(x) = −x3 − 14x2 − 60x − 75 on interval [−7, −5]?

A: To find: The absolute minimum of fx=-x3-14x2-60x-75 in interval -7,-5. Calculation: The derivative…

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

A:

Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 - 200t + 10,000,…

A: Here we want to find minimum number of copies of newspaper produced. Here we use application of…

Q: The population density of a city is given by P(x,y) = - 20x - 20y + 560x + 440y + 200, where x and y…

A:

Q: Find the absolute maximum and minimum values of f(x) = 2x³ – 36x2 + 120x -8 on the interval [0, 12]…

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: To find: The number of item sold to maximize the revenue R. Given: The demand function is . Formula…

Q: A manufacturer has determined that the cost in pesos of producing shirts is given by C(x) = 0.5x² –…

A: Given Cost Function C(x)=0.5x2-x+6200Where x represents the number of shirts produced daily.

Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal

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.