1) An ant population grows at a daily rate of 3/10 times the current popu- lation. It is known that a constant rate of 36 ants die each day and that the initial number of ants is 400. How long will it take for all ants to die? Solve using 1st order differential equations.

Q: A pipe that is open at both ends has a fundamental frequency of 311 Hz when the speed of sound in ai...

A: Given f=311Hz, c=346m/s  

Q: A 45.0 kg crate of tools rests on a horizontal floor. You exert a gradually increasing horizontal pu...

A: Given :            Mass of crate (M) = 45kg            Limiting frictional force (Fs) = 313N        ...

Q: Hummingbirds may seem fragile, but their wings are capable of sustaining very large forces and accel...

A: The frequency at time 40 ms will be: f=1Tf=140 ms×10-3 s1 msf=25 s-1    

Q: The price-demand equation and the cost function for the production of table saws are given, respecti...

A: Given: x=8000-20p C(x)=98000+70x

Q: What can you conclude about log2 32, or log2(8 . 4)?

A: Given: log232 or log28 . 4 is concluded below.

Q: A uniform rod of length 32 m and mass 31.5 kg is free to rotate about a frictionless pivot at one en...

A: Given, Length of the rod, L=32 m Mass of the rod, m=31.5 kg   We know, Moment of inertia of the rod ...

Q: A 2.00 kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes o...

A: This is a question based on Newton's Law. We will solve this problem by using the laws on the free b...

Q: Question 12 Experment Number Mass of Obect Magnitude of Net Force (N) Time that Force ts Itial Veloc...

A: Given information: The mass of the object, m=2 kg The mass of the object is the same in all the thre...

Q: (a) A force F pushes on a 25kg box as shown in the figure. The coefficient of static friction betwee...

A: Given: m=25 k g μ=0.20 acceleration for m1 , a=3m/s2 acceleration for m2 , a=1m/s2

Q: A simple pendulum consists of a small object of mass 2.8 kg hanging at the end of a 2.0 m long light...

A: Given: The mass of the small object is 2.8 kg. The length of the string is 2.0 m. The angle that the...

Q: When n=1.5, k=0.1 and v=1014 Hz. Find (a) the wavelength inside the material and (b) the propagation...

A: (a) Given: The values of the parameters are n=1.5, k=0.1, and v=1014 Hz. Introduction: Wavelength is...

Q: How do I do this?

A: Given the number of cubes are 1, 000,000. Also, given the side of the cube is one inch. (1) Now when...

Q: A meter stick with a mass of 0.153 kg is pivoted about one end so it can rotate without friction abo...

A: The mass of the meter stick, m=0.153 kg. The length of the meter stick, l=1 m.    

Q: The 12 kg boy jumps on the 3-kg skateboard with a horizontal velocity of 5 m/s. Determine the height...

A: Given that,Mass of boy, mb=12 kgMass of  skateboard, ms=3 kgInitial velocity of the boy, Vb1= 5m/sUs...

Q: 3. A uniform solid cylinder, sphere, and hoop roll without slipping from rest at the top of an incli...

A: Step-1 Given: The bodies are hoop, a uniform solid cylinder, and a uniform solid sphere.

Q: The system shown in figure task 2c is displaced from its static equilibrium position to the right a ...

A: The differential equation for the given system can be written as, Here m is the mass, a is the acce...

Q: A child spins rock on string in a horizontal circle with speed v with radius r. Calculate the veloci...

A: The rock is moving in a horizontal circle with a radius r Consider an infinitesimal arc of length dS...

Q: A steel band exerts a horizontal force of 77.0 N on a tooth at point B in Figure P8.2. What is the t...

A:

Q: 8. 9. 10. 28° 10 62 50 36° 10 25°

A: In the first figure, x can be found by taking the sine of the angle givensinθ=opposite sidehypotenue...

Q: When the time-varying force F = tî + ĵ (N) acts on an object of mass m = 2 (kg) that is at rest at t...

A: According to Newton's second law of motion: F→ = ma→ where m is the mass of the object and a→ is the...

Q: A cylinder (r = 0.131 m, Icm = 2.688Af—10-2 kg*m2, M = 1.75 kg) starts from rest and rolls without s...

A: When a cylinder rolls without slipping on an inclined plane simply implying that the point of contac...

Q: (II) One CD player is said to have a signal-to-noise ratioof 82 dB, whereas for a second CD player i...

A: Given: For signal and noise, Lets take β1 be the ratio of the first CD and to find the ratio of inte...

Q: 8. Sketch output waveform for the network of Fig. 2 for the input shown. Vi C 12 V + 0.1 µF Si R 56 ...

A:

Q: The 12 kg boy jumps on the 3-kg skateboard with a horizontal velocity of 5 m/s. Determine the height...

A: given, mass of boy mb=12kgmass of skateboard ms=3kgvelocity =5m/s  

Q: Benzene, listed in Table A.3, has a measured density of57.75 lbm/ft3 at a pressure of 700 bar. Use t...

A: Given data: The measured density is ρ2=57.75 lbm/ft3. The pressure is P2=700 bar. First, convert t...

Q: A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in ...

A: Given: Height of the block is h=4m Width of block W=5m Length of block L=4m

Q: Find a vector in R3 which can not be spanned by the vectors

A: A set of two vectors cannot span R3.

Q: For a material having FCC crystal cell structure, write the expressions for Planar atomic density in...

A: Given: The planes are (0,0,1) and (1,1,0). Introduction: In the FCC arrangement, again there are eig...

Q: How we can determine the coefficient of restitution for various tennis balls by simply throwing them...

A: To answer: The coefficient of restitution for various tennis balls by simply throwing them on the gr...

Q: N An object is placed 10.0 cm in front of a diverging lens of focal length -6.00 cm. Determine the i...

A: Write down the lens formula. Let the distance of the object, image and focal length of the lens be u...

Q: K:52)

A: We know the divergence of the given vector F(x,y,z)=∇·F(x,y,z) (a) Given vector is A=exyax+sinxy ay+...

Q: An atomic nucleus can be crudely modeled as a gas of nucleons with a number density of 0.18 fm -3(wh...

A: Given data: The number density is N/V=0.18 fm-3. Since the nucleons are fourfold degenerate, then ...