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Q: Please upload your solutions in pdf. 1. Solve the initial value problem

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

Q: A 15-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: SOLUTION-

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: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: To find least time Angelo has to run in shortest path.

Q: Solve ex + 5 = 60 and approximate the result to three decimal places.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Enter the coordinates of the solution of these two linear eq

A:

Q: 4. Simplify completely Int dt using FTC-1. retz e3z

A: The solution of the problem is given in the next step.

Q: An explosion is recorded by two microphones that are 2 miles apart. M1 receives the sound 3 seconds…

A:

Q: A cannonball is fired directly upward from a height of 0 feet, with an initial velocity of 220 feet…

A:

Q: Calculate for work. Five joules of work is required to stretch a spring from its natural length of…

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given: Distance between shoreline and Anglo= 2 kilometers. Distance between Anglo's house and…

Q: Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 40 cm to a…

A:

Q: Use the position function s(t) = −16t 2 + v0 t + s0 for free-falling objects.

A: The position function is given. Using this the velocity function is determined by taking its first…

Q: would I solve thi

A:

Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

A: This question can be solved using the concept of speed, time and distance.

Q: An explosion is recorded by two microphones that are 1 mile apart. Microphone M1 received the sound…

A: Given that sound travels at 1100 feet per second. Also, M1 received the sound 2 seconds before M2,…

Q: The product of two consecutive even intrgers is 10 less tha5 times their sum.find the two integers

A:

Q: According to the method of integration by parts, we have that |(72)"e" dz, with n natural number, is…

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given :                  Distance between shoreline and Anglo = 2 km                  Distance…

Q: A cannonball is fired directly upward from a height of 0 feet, with an initial velocity of 220 feet…

A:

Q: Two children, who are 224 meters apart, startwalking toward each other at the same instant at rates…

A: Two children are 224 meters apart. They start walking toward each other at the same instant at rates…

Q: Mitzi drops a ball from a height of 10 m and notices that on each bounce the ball returns to about…

A: Definition used -                               Sum of the infinite geometric series - ( When…

Q: Suppose chad has $5000 to invest. If he invest $3000 at 5% interest, at what rate must he invest the…

A: solution of the given problem is below...

Q: vestigates in(2xx)

A:

Q: the Kollowing Integrails Solve 30 tan va

A:

Q: epx dx 1+ et

A: To evaluate the  integral ∫-∞∞epx1+exdx we use substitution and then standard formula.

Q: A small metal bar with initial temperature was 20°C, is dropped into a large container of water with…

A: Here we create a differential equation based on given information. Then solve that equation.

Q: S 10x+11 dx 4x²-4x+5

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

Q: A projectile is shot upwards from the surface of the earth with an initial velocity of 120 meters…

A: To determine: The velocity of a projectile after 6 seconds and after 9 seconds where a projectile is…

Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given- d2ydx2-3dydx=e3x-12x To find- The general equation of the above differential equations.

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: Use Integration by parts to solve: Sxe cosxdx

A:

Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

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

A:

Q: In 2015, the median age at first marriage of U.S. women (27.1years) was_______ percentage less than…

A: From the given information, it is observed that the median age at first marriage of U.S. women in…

Q: how long will it take $800 to triple if it is invested at an annual intrest rate of 5.3%

A: P=$800 , R=5.3%

Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

A:

Q: A dead fish was found inside a compartment that is able to maintain a constant temperature of 373…

A: let D be the body temperature at t seconds according to question, initially , at time t=0D=900…

Q: A ball is thrown vertically into the air at a velocity of 180 ft/sec. After 5 seconds, another ball…

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Q: If a theatre holds 1300 people, how many seats need to filled to ensure that two people have the…

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Q: 1.MC IS FIVE TIMES AS OLD AS JUSTIN. FIVE YEARS AGO, MC WAS TWO TIMES AS OLD AS JUSTIN. THE SUM OF…

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Q: As a water tank is being raised, water spills out at a constant rate of 2 ft³ per foot of rise. If…

A:

Q: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

A: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

Q: 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A:

Q: Solve DE using Bernoullis Equation

A: NOTE: Refresh your page if you can't see any equations. . take reciprocal on both sides…

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: Solve at least five questions of your own choice by using integration?

A: To solve: 5 different questions of integration.

Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A: applying the concet of projectile motion, using, height 'h' after t seconds is given by the…

Q: (a) The value of a car depreciates by 25% in a year. What will a car, currently priced at $43,000,…

A: We will find the price of car after one year

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.