Find the general solution to the differential equation y' + 6z°y = a® Use the variable I = CeT" dr where it occurs in your answer. %3D

Q: the year 2000, the population of a small city was 42,000. The population grows at a rate of r(t) =…

A: Given population growth rate function is f(x)=1300 e (0.03t) where t is time in years after 2000.

Q: 1/2mv^2=1/2kd^2+mgd rearrange the equation and solve for d=

A: 12mv2=12kd2+mgdMultiply both sides by 2.212mv2=212kd2+mgdmv2=kd2+2mgdkd2+2mgd-mv2=0

Q: P(t)= 952e^(0.12)t Solve for t when P=20,000

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Q: Solve for y in the equation below. Round your answer to the nearest hundredth. Do not round any…

A:

Q: A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the…

A: The objective of the question is to understand the role of 'e' in the given equation and how to…

Q: (9)(3)^7x=(1/9)^2x solve.

A: Given information:The given equation is

Q: A formula for calculating the​ distance, d, one can see from an airplane to the horizon on a clear…

A: Topic:- Basic maths

Q: Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P…

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Q: Solve the equation for k. First, 4e^(47k)=36

A:

Q: A radioactive substance follows A(t) = 500(0.87)^t , where t is in months and A(t) is in grams. How…

A: Given that: A(t)=500(0.87)t, where t is in months and A(t) is in grams.

Q: A man found a tin can on an eroded cliff edge that had 78% of its crbon-18 remaining. Carbon 18 has…

A: Half life of a material is the time required to reduce its amount to half of its initial quantity.…

Q: What value for t makes the equation below 500=100e^((0.04t)).(Need only handwritten solution please…

A: The given equation 500=100e0.04t. To find the value of t.

Q: Solve A. t= x/log B. t=logx C. t=x^10 D. t=10^x

A: See the attachment

Q: equation

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Q: Simplify sech (3 ln (2x))

A: K=sech(3ln2x)we know sechx=2ex+e-xwe know  elnx=x

Q: uppose that the population in a small city is 65,000 in the beginning of 2009and the city council…

A: Given that  in the beginning of 2009  the population in a small city is 65,000…

Q: The product of two numbers x and x + 170 can be simplified to be x + х.

A:

Q: Why not 1/7^x?

A: We have to find a function f(x) which passes through point (-3,343) and (0,1).

Q: solving : 5(2.6)^x=57(1.8)^x

A: We know that ln(ab)=ln a+ln b and ln(ac)=cln a. For solving 52.6x=571.8x, we will be using the above…

Q: solve the following: x^10=2^x

A: According to the given information, it is required to solve the given equation.

Q: X*(2)^n=Y Here X=100 Y=10^12 Therefore, 100* (2)^n=10^12 Where n is the number of required cycles.…

A: Given X×2n = Y Y = 1012 X = 100

Q: 700π= π.10^2.h/3

A: The objective of the question is to solve for the variable 'h' in the given equation.

Q: The amount of radioactive radium, whose half-life is 1620 years, remaining after t years, is given…

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Q: Two people start walking from the same point. One walks west at 2 mph and the other walks north at 4…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Use algebra to solve the following equation.  20=95*e^-0.03t

A: The given equation is 20=95e-0.03t the equation consists of exponential numbers as well. the…

Q: 30=6*(1.24)^t Solve for t

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Q: Solve using the quadratic formula  x/(.0887−x)(.622−x) =1.2×10^3

A: Given:x(0.0887-x)(0.622-x)=1.2×103