What is the number of solutions to z^n= 1? How many solutions do you think we can expect to an equation of the form z^n=a+bi?

Q: (x- 2x +3)e-° dx.

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Q: An aeroplane left 30 minutes later than its scheduled time; and in order to reach its destination…

A: let the usual speed of aeroplane = x km/hr and the increased speed = (x+250) km/hr total distance…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: Please help to solve this integration problems

A: In this question we will use basic concepts of calculus i.e application of integration. We will…

Q: Only part b, part a is solved but i was asked to upload b seperately

A: Given: Mean lifetime of technical part μ=2 Let X be the lifetime of technical parts X~Expλwhere,…

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

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Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

Q: A plane left 30 minutes later than the schedule time and in order to each its destination 1500 km…

A: Explanation of the answer is as follows

Q: How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that…

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Q: PLEASE USE EXCEL. 4. Find all solutions of e²x = x + 6, correct to 4 decimal places using the Newton…

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Q: Find the smallest positive root of the equation x-x-10 = 0 using Newton Raphson method correct to…

A: The equation is x4-x-10=0. That is, fx=x4-x-10. Find the value of f1 and f2.…

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: y = 3+x²+x+1

A: Use the formula below while performing the differentiation .

Q: 2. The sum of two positive numbers is 16. What is smallest possible value of the sum of their…

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Q: The length of a rectangle sign is 6 inches more than half of it’s with the area of a sign is 432…

A: Let the width of rectangle sign is x inches According to question , length is l=12x+6 Given area is…

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

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Q: Determine the particular solution of the exact equation.

A: The particular solution of exact equation is  x3y - 3xy + 4y2 - 4 = 0  as explained below :-

Q: If one sound has a relative intensity 100 times that of another, how do their decibal levels…

A: Given: One sound has a relative intensity 100 times that of another. Concept used: The number of…

Q: 3x ン

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Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

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Q: 6x + 6.

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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: min

A: We have to find the following given integral according to the given information

Q: A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light which starts…

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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: | (о + 1) In (») da

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Q: S 10x+11 dx 4x²-4x+5

A: We will evaluate the given integral in the following steps.

Q: PLEASE ANSWER ITEM NUMBER 10 ONLY. DIFFERENTIAL EQUATIONS.

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Q: The Escherichia coli culture (better known as E. coli) doubles every 40 minutes. If 30 E. coli are…

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Q: The Newton-Raphson method is used to find the roots of the equation: Ax) = x – cosTX ; Osxs1 If the…

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Q: How to eliminate these 2 equation to determining the two unknowns?

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Q: 7. If the distance traveled is (3x-2x2 + 3x +8) kilometers and the speed is (x+ 1) km/h, what is the…

A: according to question, distance=3x3-2x2+3x+8 speed=x+1 we have to find time

Q: Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of…

A: Given a tank contains 600 gallons  of salt water. Pure water flows into the tank at the rate of 7…

Q: If a second-order model has two complex roots with negative real parts, it's free response will…

A: Given that the second order differential equations has two complex roots with negative real parts.…

Q: The number of banks in the country for selected years from 1980 to 2009 is given by y = -378.9x +…

A: Given,           The number of banks in the country for selected years from 1980 to 2009 is given by…

Q: A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it takes to cool…

A: Topic:  Newton's Law of cooling using application of calculus

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: I am confused on how to solve this problem.   Thanks much.

A: The given trigonometric identity is,

Q: The kinetic energy of an object varies jointly with its mass and the square of its velocity. What…

A: let: Kinetic energy be k Mass be M. Velocity be V The kinetic energy is directly proportional to…

Q: What is meant by integrating factor?

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Q: dy 3-t=8 dt

A: As per Bartleby guidelines we can solve the first question alone in case the multiple questions are…

Q: How many kilometers can a train moving at an average velocity of 25 m/s southwest be displaced in 2…

A: Given, average velocity of train = 25 m/s 2 hours = 2x60x60 = 7200 seconds

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: Please show exact work on how to solve this.

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Q: The number of light bulbs that can be expected to last less than 1540 hr is.

A: here given , Suppose that the life expectancy of a certain brand of non defective light bulbs is…

Q: Device 2 is capable of detecting seismic changes up to a distance of 1.4 times that of device 1.…

A: In this we have to do the given instructions and approximate the value to the nearest 100,000 and…

Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

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