Find Half life:   U1= 2110 U2= 2159 X1= 9855 X2= 4315 t (days) = 56 please find value of T1/2

Q: Ln X = 2.83254 %3D

A: Using formula ln(x) =a x =ea

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: A bacteria population grows by 10% every 3 days. Based on this, if we initially have 2,000…

A: First of all we should know that the growth is exponential so formula will be: Nd = N0ekd where N0…

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

A:

Q: 11^×=121 the solution is x=

A: Given -  11^x=121

Q: AIT student places 100 bacteria into a petri dish. Six hours later, he measures 450 bacteria.…

A: AIT student places 100 bacteria into a petri dish. Six hours later, he measures 450 bacteria.

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

A:

Q: The mass reaches 75 grams after t= years.

A:

Q: e^x=3.2

A: Recall the formula: ax=b⇔logab=x

Q: Solve ln 0.5

A: To find: The value of expression ln 0.5. Concept used: Quotient rule of logarithmic: ln ab=ln a- ln…

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

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

Q: Solve e* = 20 for x.

A: we need to solve for x

Q: 11: Solve the equation by change of base. * 5x 3(7)" – 2= 14 O 2.56 O 0.1969 O 17.56 O -7.56 O 0.172…

A: We will solve it at first by simplifying as taking, term having exponential on one side and transfer…

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

A:

Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: y`= -2xy

A: Here solves the differential equation by the power series method.   Let us assume that the power…

Q: 18/x-4   =  10/x

A:

Q: There are 1000 turtles living in an island and their population is growing at a rate of k = 10% per…

A:

Q: Solve the following for x i. 2^3?−1=1 /16 ii. 4^?−2^?−12=0

A: Let's solve. There would be x instead of ?.

Q: Help   ∫?e^−7?^2  dt

A: Consider the given integral is,

Q: You invest $4000 into an account that compounds interest on a quarterly basis at 3%. How much money…

A: Given You invest $4000 into an account that compounds interest on a quarterly basis at 3%. How much…

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.