Find the most general antiderivative for the function (8x^4-(6/x^3)-3)

Q: A rectangle's length is 5 metres longer than twice its width. If both the length and the width are…

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Q: Find two positive numbers whose product is 179 and whose sum is a minimum.

A: Let one number is = x Another number is = y

Q: A hemispherical dome of radius 40 feet is to be given 3 coats of paint, each of which is 1/100 inch…

A: To estimate the amount (volume) of paint needed under the required conditions

Q: The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the…

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Q: Find three positive numbers whose sum is 300 and whose product is a maximum.

A: Let x ,y,z are 3 positive numbers such that x+y+z = 300 and xyz is maximumThe problem formed…

Q: " What are the negative impacts of exploitation of mineral resources to the environment and how will…

A: The framework in which all biotic and abiotic components thrive in the environment. Plants, animals,…

Q: The altitude of a triangle is increasing at a rate of 22 centimeters/minute while the area of the…

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Q: Find the approximate change in volume of a cube of side 'x' inches caused by increasing its sides by…

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Q: Initially, there are 300 bacteria and after 8 hours, 900 bacteria are observed in the culture. Find…

A: We will find out the required solution.

Q: y%3C122X + C2e x + x econd derivative) y3C1e2x + C2e x + x

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Q: The cost of manufacturing x units of a commodity per week is 12x + 4500. What is the average cost of…

A: Given: The cost of manufacturing x units of a commodity per week is  C=12x+4500 Formula for average…

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A: The solution to the given question is explained below. We use partial differentiation technique to…

Q: A hemispherical dome of radius 40 feet is to be given 11 coats of paint, each of which is 1/100 inch…

A: The volume of Hemisphere = 23πr3 Differentiate with respect to r…

Q: Suppose the test for Corona is 99% accurate in both directions and 0.3% of the population is Corona…

A: The Accuracy of the test is 99% both ways that means false positive and false negative percentage is…

Q: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

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Q: Find the most general antiderivative for the function - 4VX². Antiderivative =

A: To find the antiderivative, we will integrate it. We write the expression using exponents and then…

Q: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

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

Q: Integrate 8. dp- X+9

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Q: A man weighing 600 kg has been losing 3.12% of his weight each month with some heavy exercises and…

A: To determine the weight of man after 20 months.

Q: the radius and height of a cylindrical container with volume 80 cubic inches and lateral surface…

A: Given, Volume of cylindrical container = πr2h = 80 inch3…

Q: Find three positive numbers whose sum is 3 and whose product is a maximum.

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Q: he radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by 5 inch…

A: volume of the right circular cylinder is given byV=πr2hHere we have fixed height = 16 inches ,…

Q: 4. If a car moving at a constant rate travels (2x3-x2-4x + 3) km in (x2 - 2x + 1) hours, what is the…

A: Given- Distance travelled by a car=2x3-x2-4x+3Time taken=(x-1)2 We have to find the rate of the car…

Q: Explain the concept of integration and give a real life example.

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Q: A hemispherical dome of radius 40 feet is to be given 7 coats of paint, each of which is 1/100 inch…

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Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

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Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

Q: A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough…

A: Given, A 100-inch strip of sheet metal starting out 16 inches wide is to be made into a small…

Q: A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A…

A: Linear equations

Q: (4x+3)dr æ(x+1)(x-3)

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Q: Proctice Completina th 2x716x+9=| ニ1

A: Given that: x2+6x+9=1

Q: A hemispherical dome of radius 30 feet is to be given 11 coats of paint, each of which is 1/100 inch…

A:

Q: find two positive numbers whose sum is 300 and whose product is a max

A:

Q: The sum of two positive numbers is 16. What is the smallestpossible value of the sum of their…

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum…

Q: A hemispherical dome of radius 20 feet is to be given 7 coats of paint, each of which is 1/100 inch…

A: Given that  Radius of hemisphere is 20 feet  7 coats of paint applied  Thickness of each coat is…

Q: Find three positive numbers whose sum is 63 and such that their product is as large as possible.…

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Q: y = ln (7x³ + 5)* 4

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Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: How to solve for (fof)(x)

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Q: Solve for x Preview

A: Consider the given equation

Q: In the regression model Y = α+ βx + ε the change in Y for a two units increase in x: will always be…

A: Given regression model Y = α+ βx + ε If x increases by 1 unit, Y increases by β.  If x increases by…

Q: A 50-in. piece of wire is divided into two pieces and each piece is bent into a square. How should…

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Q: One leukemic cell in an otherwise healthy mouse will divide into two cells every 12 hours, so that…

A: fn=4xa No.of laukemic cells after 12 days= 412     In a part put x= 12 Because x is in days…

Q: A fast-growing strain of bacteria doubles in population every 20 minutes. A laboratory has a culture…

A: Given data: The time after which the population of the bacteria doubles is t=20 min=1/3 h. The…

Q: A rectangular box with square base is 10 cm tall and 4 cm wide. If its height is increased by 0.5…

A: Calculate the area of base of box.

Q: Find two positive numbers with product 576 and whose sum is a minimum. Enter your answers in…

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Q: Y"+y'=secxtanx by using variable cofficients

A: It is a second order differential equation with variable coefficient:  y''+y=secxtanx we can solve…

Q: low fast is

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