A whole life insurance provides a death benefit at the moment of death equal to 1. If death occurs after 20 years, an additional death benefit equal to the net single premium (without interest) is paid at the moment of death. You are given: 3. µ = 0.02 The net single premium of the insurance is calculated at d = 0.06. Calculate the net single premium.

Q: 7x ar Find the rate of change of total profit, in dollars, with respect to time where R(x) dx C(x) =…

A: Given that: R(x)=7xC(x)=0.06x2+0.6x+80

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

A:

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

A:

Q: The position of a moving particle is given by s(t) = t2 – 7t + 4 on the interval 0 <t< 4, where 's'…

A:

Q: Answer part D.

A: As we consider the approximation of function have already done in  above parts,(D) When change in x…

Q: Given that x and y are functions of time, find the indicated rate of change dx/dt, when x = 2, y =…

A:

Q: The pressure of wind in pounds per square foot, corresponding to the velocity in miles per hour has…

A:

Q: Please answers part c, d

A: As per norms, the first three questions are answered. The questions concern the linear approximation…

Q: If a ball is thrown straight up into the air with an initial velocity of 60 ft/s, its height in fe…

A:

Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

A: The skydiver's velocity is governed by the differential equation: And the solution to this equation…

Q: A 80-kg cyclist on a 19-kg bicycle starts coasting on level ground at 30 m/sec. Use v = vo e (-k/m)t…

A:

Q: The acceleration function of a particle moving along a line is given by: a(t) = 4t – 2 in m/s² and…

A:

Q: If a ball is thrown straight up into the air with an initial velocity of 40 ft/s, it height in feet…

A: Given initial velocity u= 40 ft/s The height in feet after t second is given by  y=40t−16t2 for t= 2…

Q: The position of a particle at time t (s) is s(t) = t2 + 1 m. Compute its average velocity over [2,…

A:

Q: A car starts from rest at time t = 0 and accelerates at – 0.61 + 4 meters/sec? for 0 <t< 12. How…

A: Given: a = -0.6t+4 and velocity at t= 0 is 0 Since, dvdt=a, here v is the velocity and a is the…

Q: A cyclist rides down a long straight road at a velocity​ (in m/min) given by v(t)=100−10​t, for…

A:

Q: At an effective rate of interest i and effective rate of discount d, show that; 1 1 d i

A: The effective rate of interest i is the amount of money that one unit invested at the beginning of a…

Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

A:

Q: dv dt    = −kv2 An object moving through the water has an initial velocity of 40 m/s. Two seconds…

A: As the given differential equation is: dvdt=-kv2 Given conditions are:  t=0 , v=40 mst=2s, v=30 ms…

Q: determine how much of a drug is absorbed into the body, researchers measure the difference between…

A:

Q: If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given…

A:

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

A: Given, A ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (µg/mL), in the plasma of a…

A:

Q: The barometric pressure p (in inches of mercury) at an altitude x miles above sea level satisfies…

A:

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = In2 × 23t…

A:

Q: b) The mass (in kg) of a product from a chemical reaction is denoted by 'y'. The dy rate at which…

A: b Separate the terms of both the variables Then let 1+y2=z2ydy=dzand 1+t2=u22tdt=2udu

Q: A car is moving at a constant acceleration of 3.6 m/s away from a tree. Atr= 0, the car is 11 m away…

A:

Q: If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t…

A: Given that: An initial velocity of the ball is is 52 ft/s, and height after t seconds is given by…

Q: A baseball player throws a ball straight up into the air. At a height of 3.4 m above the release…

A:

Q: Suppose a quantity described by the function y(t) = y0ekt, where t is measured in years, has a…

A: yt=y0ekt The quantity has a doubling time of 20 years. That is, yt=2y0 when t=20.

Q: The position of a moving particle is given by s(t) = t2 – 2t + 6 on the interval 0 <t < 6, - where…

A: We will solve the following.

Q: 11) A brake company is testing their brakes. When the brakes are pressed fully, it creates a…

A: When the brake is applied then  deceleration a = - 25 ft/s2 Car travelling speed v = 100 ft/s Let…

Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

A:

Q: What is the period of time ''t'' required for the initial infection rate ''I(t=0)'' to double in…

A:

Q: 32. In a healthy person of height.x inches, the average pulse rate in beats per minute is modeled by…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

A: Given that, A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing 1/2 lb…

Q: = 4000 1 0 代 50 50

A:

Q: If a ball is thrown straight up into the air with an initial velocity of 60 ft/s, its height in feet…

A: given y=60t-16t^2

Q: Given the acceleration of an object and its initial velocity, how doyou find the velocity of the…

A: We know that the rate of change of velocity of a moving particle is known as its acceleration. Let…

Q: Assume Y(t)=20e^(rt) and Y'(t)=20re^(rt), to show how the concentration of yeast changes over time.…

A: Y(t) = 20 exp(rt)    We know that concentration doubles every 3.4 hours.  Y(t + 3.4) = 2 * Y(t)  Put…

Q: dx 1 tent per day, dt the rate at which the total average number of COVID cases is increasing at x =…

A: Given,           The rate at which the total average of COVID cases is increasing at x = 10 tents…

Q: at of left lateral bending (cm) mic hand grip endurance (sec) extension ratio (N/kg) d equation is…

A: 1) the model equation is y=29+0.91x1+0.07x2-4.60x3+e 2) σ=6 3) extent left lateral bending (X1)…

Q: A ball is thrown upward from a height of 4.6 m at an initial speed of 48 m/sec. Acceleration…

A:

Q: .................... ..................... A new fast-food firm predicts that the number of…

A:

Q: A particle that moves along a straight line has velocity v(t) = t?e meters per second after t…

A: The displacement -velocity -time equation is given by, dsdt=v(t) The displacement during the first t…

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A:

Q: A particle moving along a line has position s(t) = t4 − 18t2 m at time t seconds. At which times…

A: St=t4-18t2The particle passes through the origin when St=0t4-18t2=0t2t2-18=0t2=0   t2-18=0⇒t=0…

Q: Starting with an initial value of P(0)=55, the population of a crow community grows at a rate of…

A:

Q: When no more than 110 units are produced, the cost of producing y units is given by C(x) C(x) =…

A: Given that, Average cost=C(x)  /  x

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.