In your own words, describe the process of completing the square of a quadratic function. Explain when completing the square is useful for finding an integral.

Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

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Q: dx |x|V4x² =16 402.

A: We use substitution method

Q: A closed box, whose length is twice its width, is to have a surface area of 192 sq. inches. Find the…

A: It's a closed box, so it has a top Let ? be the width of the box. Then its length is 2?. And the top…

Q: 9²=Hx %3D

A: 9x2=4x We need to solve the given equation.

Q: A rectangular plot of ground is 120m long and 80m wide. To double the area of the plot, while…

A: Given: Length of rectangular plot is 120 m Breath of rectangular plot is 80 m We know that…

Q: a rectangle has area x^3+3x^2-18x in^2 and width x+6. What is the length in inches.

A: Area of rectangle = length × width Since , the area of rectangle and width of rectangle is given, so…

Q: Solve for x: x + 7 x – 5 x – 5 3 x + 7 m IN

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Q: The number of a particular fish in thousands x years after 1978 can be modeled by f(x) = 229(.887)*.…

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Q: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the…

A: The given data is: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels…

Q: -0.3x(49 — х?

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Q: suppose the yo-yo string is 28 inches and it completes one revolution in 3 seconds. If the closest…

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Q: Find a positive number for which the sum of its reciprocal and four times its square is the least.

A: Let x be a number. According to question

Q: The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 5…

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Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: The distance that a person can see to the horizon on a clear day from a point above the surface of…

Q: We always assume the radical is a square root if there is no index. True False

A: Yes it is true.

Q: ー Hx %3D

A: 9x2 = 4x => 9x2 - 4x = 0 => x(9x - 4) = 0

Q: solve for x. 2 over 13 +x =8

A: To find the value of x , satisfying the given equation

Q: What is the depth of the strongest beam that can be cut from a log whose diameter is 73.23cm if its…

A: From the given hypothesis: Diameter = 73.23 cm   which is shown in the following figure:

Q: Find two positive numbers whose sum is 100 and whose product as largest as possible.

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Q: What is the number whose square diminishes from three times its 2 times

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Q: Solve this early

A: Here A' is the entire part of the universal U excluding A and B' is the entire part of the universal…

Q: A rectangle with an area of 50 cm² is x cm wide and (x + 3) cm long. To the nearest tenth of a…

A: Let's find width and length of rectangle.

Q: What positive number exceeds its cube by the maximum amount?

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Q: An open-toped rectangular dumpster that is twice as long as it is wide and can hold 12y cubic yards…

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Q: dx (5х+1)°

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Q: You have to cut four equal squares from each corner of the 8.5" x 11" paper in order to make an open…

A: The volume of a cuboid is given by the formula V=l×w×h. Here, l is the length of the box, w is the…

Q: D = -x' + 3 at x = 1. % =

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Q: A fluid ounce is about 30 mL (milliliters) and one liter is equal to 10-3 m3 (cubic meters). What is…

A: Given, 1fl-oz = 30 mL 1L = 10-3 m3

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: 1+ 2x

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Q: Solve for x. Resuelve para x. 3x+21 6x+ 11 X3=

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Q: Calculate the first and second difference, than determine if the relationship is linea quadratic,…

A: Three important types of equations : Linear equations in slope-intercept form: y=mx+b Exponential…

Q: An express delivery driver earns Php500 daily for an 8hour shift and an additional Php35 for every…

A: Php 500 is his/her fixed 8 hours earning Let t denotes the number of hours of his/her working after…

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

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Q: Evaluate s -dxUsina 2' x+1x²+4

A: Our Aim is to integrate the given function ∫26(xx+x2+4)dxusing Substitution Method.Solution has been…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

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Q: Find two positive numbers whose sum is 84 and whose product is as big as possible.

A: It is number Problem.

Q: Determine what will be the three positive numbers that its product is 27 and its sum is as small as…

A: We will find the three numbers satisfying the given conditions.

Q: 1. Jdb 2. S dt 3. - 8xdx 4. S 6x² dx

A: Explanation of the answer is as follows

Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: Given : d = 64 Height If a person 64m above the surface of the Earth can see 12km to the horizon,…

Q: Find the dimensions of a rectangle with area 27000 m2 whose perimeter is as small as possible. (Give…

A: Explanation and solutions is given below.....

Q: مرده X dx (3x²-1)³

A: This question is based on definite integral.

Q: Find two positive numbers whose sum is 32 and the sum of their square roots is maximum.

A:

Q: A new candle product is claimed to burn thelongest time among those sold in the market. When lit the…

A: In every hour candle reduces to it's previous length. It is given that originally length of the…

Q: Evaluate the integral: 3 49x2dx

A: The given expression is ∫3-49x2dx. The formula for the integration of the expression ∫a2-x2dx is…