If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?

Q: A ball is thrown from a point above the ground. The height at ground level is given by the equation…

A: h(t) = -3t2 + 24 tdhdt = -6t + 24 ⇒  -6t + 24 = 0             t = 4 sec

Q: Solve d4y/dx4= 5x by variation of parameters.

A: The answer is given as follows.

Q: Solve the equation by using a u-substitution: x 5 + x5-2=0

A: The given equation is: x25+x15-2=0⇒x152+x15-2=0

Q: A ball is thrown in air and its height h(t) in feet at any time T in seconds is represented by the…

A: A ball is thrown in air and its height h(t) in feet at any time T in seconds is represented by the…

Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

A:

Q: The number of new cars purchased in a city can be modeled by the equation C=26t^2+168t+4208,where c…

A: We have to use quadratic formula to solve the problem as (-b±√b2 -4ac) /2a

Q: Solve for t.   e0.05t - 4e-0.06t = 0

A: e0.05t-4e-0.06t=0

Q: Please see attachment

A: Given,The number of incarcerated adults N (measured in thousands) in a certain country can be…

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A:

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A:

Q: The value of stock A(x) can be represented as A(x) = 0.65x^2−8x+10 where x represents the number of…

A: We need to calculate how long it will take to both stocks be worth the same amount ⇒We need to find…

Q: The height of an object tossed upward with an initial velocity of 120 feet per second is given by…

A: Given Data: The initial velocity of the object is: dhdtt=0=120 ft/s The formula for the height of…

Q: x represents the number of large coffees sold at the local coffee shop and y represents the total…

A: Given: Assume that, x represents the number of large coffees sold and y represents the total revenue…

Q: The path of a small rocket is given by the equation h =-16t² + 128t where h is the height in feet…

A:

Q: each month a shopkeeper spends 5x+14 dollars on rent and electricity. if he spends 3x-7 dollars on…

A: Given shopkeeper spends 5x+14 dollars on rent and electricity.  he spends 3x-7 dollars on rent

Q: The concentration of a toxic chemical in a spring-fed lake is given by the equation CYx) = 50x where…

A: We need to use the equation: Cx=50xx2+3x+6 to determine the value of x for which Cx=6.16 gL.

Q: Solve for x D -5x-10 60° R 13x + 7 B. E.

A: The given data: ∠D=5x-10∠CE=60∘∠BR=13x+7

Q: When an object is removed from a furnace and placed in an environment with a constant temperature of…

A:

Q: A sample of 300g of lead-210 decays to polonium-210 and is described by the equation y=300e^-0.032t,…

A: Solution:

Q: A ball is launched of the top of a hill and is represented by the equation h(t) = -5t2+60t+2, where…

A: Solution ) h(t) = -5t2+60t+2 Differentiate with respect to x  h'(t) = -5 × 2 × t + 60 × 1 + 0  […

Q: Solve the equation for x. 6e-0.00012x = 3

A: 6e-0.00012x=3

Q: Solve for t.  4e0.01t - 3e0.04t = 0

A: To solve the equation 4e0.01t-3e0.04t=0 for t, first add 3e0.04t on both sides of the equation then…

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: According to the given question,Let x be the June rainfall in inches And M(x) is the number of…

Q: Solve the given DEQ by undetermined coefficients. y(4) – y" = 4x + 2xe¬×

A: Introduction:   It is given that the differential equation is y(4)-y"=4x+2xe-x. We have to solve…

Q: y = C₁x² + C₂e -X

A:

Q: solve the following equation x3-4x2+5x-2=0

A: Using the zero factor principle, it can be written that if ab=0 , then a=0 or b=0 . It is known that…

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A:

Q: Solve the equation below. V2 csc x – 2 = 0 if 0 < x < 2n.

A: 2csc x -2=0

Q: A person buys a phone for $81 and signs up for a single-line phone plan with 2000 monthly anytime…

A: Refer to the question,As person buys a phone at $81 and monthly plan costs $ 119.96Let t be the…

Q: The height of an object tossed upward with an initial velocity of 80 feet per second is given by the…

A: Given, The height of an object tossed upward with an initial velocity of 80 feet per second is given…

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A: Given x^2 = 720 – 5p^2 ------(1) Where x = no. of catriges P = price Given that dP/dt = -$1/week If…

Q: For the years 1995to 2002, the number Nof cellular phone subscribers (in millions) can be modeled by…

A: The given equation is N = 17.4 x2+36.1 x+83.8 and x = 0 represented the year 1995.Substitute N =…

Q: The height of a ball that is launched from the ground is given by taking -16 times the time in…

A: The height of a ball that is launched from the ground is given by taking -16 times the time in…

Q: The revenue, R, at a bowing alley is given by the equation             R=-1/800(x2-2400x), where x…

A:

Q: Solve the equation for x: Vr -6 = -2

A:

Q: Eliminate all the arbitrary constants in the equation y = C1e3x + C2xe3x

A:

Q: If y = x° – 12x + 8, Solve for the point of inflection.

A: An inflection point is defined as a point on the curve at which concavity changes. i.e.,sign of the…

Q: At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers…

A:

Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: Solve for X in the equation, where -4 3 1 0 2 -2 A = and B = -3 0 2] 3о 4B = -2x – 2A X =

A: The given problem is related to matrix subtraction and addition. we will use matrix subtraction or…

Q: During migration, a monarch butterfly might fly an average of 50 miles per day. Which equation shows…

A: By distance time formula: Speed=distancetime Substitute Speed=50 miles/day, distance=m and time=d in…

Q: Solve the equation : (x - 1) /(x - 2) + x/(x - 3) = 1/(x2 - 5x + 6)

A: Given: x-1x-2+xx-3=1x2-5x+6 To Solve: The given equation. Concept: Quadratic Formula:If ax2+bx+c=0,…

Q: Given (x) = -4x - 2, solve for x when f (x) = 6

A: Given,          fx=-4x-2 and fx=6

Q: The number f(x) of incidents of family violence requiring police response appears to be related to x…

A: f(x) = 430-0.005x    f(x) = number of incidents of family violence.  x = money spent on crisis…

Q: The height of an object thrown upward with an initial velocity of 64 feet per second is given by the…

A: Given: The height of an object thrown upward, h= -16t2 + 64t and h = 64 feet

Q: The quantity demanded each month of the Sicard sports watch is related to the unit price by the…

A: Differentiating with respect to x, we get:

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A: The height of a cannonball h, in meters, over time t, in seconds, as it is shot off a platform can…

Q: D. Solve dx2 from the following 1. y = 8x* – 12 x + 6x² – 9 2. y= (4x-9)²

A: d2ydx2 =ddx(dydx)  is called the double derivative of y→dxndx = nxn-1.→d(constant term)dx = 0