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Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.
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Q: 3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…
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Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 14 and f(0) = 2.
A:
Q: Antonio has $5.00 to spend on a lunch consisting of hamburgers($1.50 each) and french fries ($1.00…
A: Antonio has $5.00 to spend on a lunch consisting of hamburgers ($1.50 each) and french fries ($1.00…
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Q: B1 (b): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5. ,15
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Q: The position of an airborne object at any time t is given by h(t) = -9.8t2 + 25t + 10. At which…
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Q: g(1) = t² – 2, find g(-2) Solution: g(-2) =, g(-2) = g(-2) =
A: Here we have, g(t)=t2-2 ............................ (1) We have to find g(-2)=?
Q: B1(b): Solve the initial value problem f'(x) = x11 + 12x + 14 and f(0) = 2.
A:
Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…
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Q: Q-1:A: find a real general solution: * y + 4y' + 5y =x +2
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Q: A population of bacteria is growing according to the equation P(t)=1700e0.17t. Estimate when the…
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Q: The position of an airborne object at any time t is given by h(t) =-9.8t²+25t+10 Show your step by…
A: The position of an airborne object at any time t is given by h(t) =-9.8t²+25t+10 To find time t for…
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A: Derivative is below
Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…
A: Given: Between 2005 and 2009, the percentage of people who own a home has changed drastically from…
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Q: B1(b): Solve the initial value problem f'(x) = x° + 12x + 14 and f(0) = 2.
A: Solution:Given f'(x)=x9+12x+14 and f(0)=2Formula:∫xndx=xn+1n+1+C
Q: A population of bacteria is growing according to the equation P(t)=1300e0.14tP(t)=1300e0.14t.…
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Q: If an object is dropped from 182 foot high building, it's position (in feet above ground) is given…
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- When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a season when about 700 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by A(n) = (700 + n)(10 − 0.01n) where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
- At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by A(n) = (500 + n)(10 − 0.01n) where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.How did you apply the concept of maxima/minima in answering the problem? Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house, which is on the shoreline and 6 kilometers from the point on the shoreline nearest Angelo. If he can row at 6 kph and run at 10 kph, how should he proceed to get to his house in the least amount of time?A researcher in physiology has decided that a good mathematical model for the number of impulses fired after a nerve has been stimulated is given by y=−x2+40x−50, where y is the number of responses per millisecond and x is the number of milliseconds since the nerve was stimulated. (a) When will the maximum firing rate be reached? (b) What is the maximum firing rate?
- On a college campus of 5,000 students, one student returns from vacation with a contagious flu virus. The spread of the virus is modeled by: y=5000/(1+4999e-0.8t) t is greater than or equal to 0 Where y is the total number infected after t days. The college will cancel classes when 40% or more of the students are infected. After how many days will the college cancel classes?5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) = 5x. When does the company begin to turn a profit?At a certain vineyard it is found that each grape vine produces about 10 lbs of grapes in a season when about 500 vines are planted per acre. for each additional vine that is planted, the production of each vine decreases by 1 percent. So the number of pounds of grapes produced per acre is modeled by: A(n)= (500+n)(10-0.01n) where n is the number of additional vines planted. Find the number of vines that shold be planted to maximize grape production.
- Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to state. The percentage of individuals who own a home in Indiana can be modeled by C(t) = –0.6t + 76, where t is the number of years since 2005. For New Hampshire, the same model isgiven by N(t) = 0.5t + 73. Did or will Indiana and New Hampshire ever have the same homeownership rate?The population of the world is given approximately by f(t) = 7.38e0.0119t billion people, where t is the number of years after the beginning of 2015. According to this model, when will the world’s population be growing by 100 million people per year, and what will be the world’s population at that time?Solve 4cos^2(t)-15cos(t)-4=0 exactly on the interval 0