Question

In: Math

Let f(t) be the weight (in grams) of a solid sitting in a beaker of water...

Let f(t) be the weight (in grams) of a solid sitting in a beaker of water after t minutes have elapsed. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any time t can be determined from the weight using the forumula:

f′(t)=−4f(t)(6+f(t))



If there is 1 grams of solid at time t=2 estimate the amount of solid 1 second later.

Solutions

Expert Solution

If you have any doubt leave comment


Related Solutions

Let f (t) be the amount of yeast (in grams) in a culture of yeast at...
Let f (t) be the amount of yeast (in grams) in a culture of yeast at time t (in minutes), and let g (t) represent the rate at which the culture of yeast is growing (in grams/min) at time t (in minutes). (a) Write an expression in terms of f (t) for the amount the culture grew (in grams) from 25 to 30 minutes. (b) Write an expression in terms of g (t) for the amount the culture grew (in...
A beaker is sitting on a scale. Block A in the figure hangs by a cord...
A beaker is sitting on a scale. Block A in the figure hangs by a cord from spring balance D and is submerged in a liquid C contained in beaker B. The mass of the beaker is 1.35kg; the mass of the liquid is 1.70kg. Balance D reads 3.55kg and balance E reads 7.50kg. The volume of block A is 3.90×10-3 m^3.What is the density of the liquid?p=? kg/m^3What will the balance D read if block A is pulled up...
Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on...
Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on top of fraction and h is on bottom) d) Find f′(t): pls circle the 4 answers
Let f(t) =t^2−1 and g(t) =e^t. (a) Graph f(g(t)) and g(f(t)). (b) Which is larger,f(g(5)) or...
Let f(t) =t^2−1 and g(t) =e^t. (a) Graph f(g(t)) and g(f(t)). (b) Which is larger,f(g(5)) or g(f(5))? Justify your answer. (c) Which is larger, (f(g(5)))′or g(f(5))′? Justify your answer.
Applied Math Let T be the operator on P2 defined by the equation T(f)=f+(1+x)f' (a) Show...
Applied Math Let T be the operator on P2 defined by the equation T(f)=f+(1+x)f' (a) Show T i linear operator from P2 into P2! (b) Give matrix reppressentaion in base vectorss B={1,x,x2}! (c) Give a diagonal matrix representing T (d) Give a diagonal matrix representing T Where P2 is ppolynomials with degree less then or equal to 2 and f' is the derivative of polynomial f.
Let f (t)  = { 7 0  ≤  t  ≤  2π cos(5t) 2π  <  t  ≤ ...
Let f (t)  = { 7 0  ≤  t  ≤  2π cos(5t) 2π  <  t  ≤  4π e3(t−4π) t  >  4π (a)  f (t) can be written in the form g1(t)  +  g2(t)U(t − 2π)  +  g3(t)U(t − 4π) where U(t) is the Heaviside function. Enter the functions g1(t), g2(t), and g3(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of  f (t).
1. Let T : Mn×n(F) → Mn×n(F) be the transposition map, T(A) = At. Compute the...
1. Let T : Mn×n(F) → Mn×n(F) be the transposition map, T(A) = At. Compute the characteristic polynomial of T. You may wish to use the basis of Mn×n(F) consisting of the matrices eij + eji, eij −eji and eii. 2.  Let A = (a b c d) (2 by 2 matrix) and let T : M2×2(F) → M2×2(F) be defined asT (B) = AB. Represent T as a 4×4 matrix using the ordered basis {e11,e21,e12,e22}, and use this matrix to...
A beaker with 195 mL of acetic acid buffer with a pH of 5.000 is sitting...
A beaker with 195 mL of acetic acid buffer with a pH of 5.000 is sitting in a lab. The total molarity of acid and conjugate base in the buffer is 0.100 M. If 8.50 mL of 0.330 M HCl solution is added to the beaker, how much would the pH change? the pKa of the acetic acid is 4.740.
Submerged Sphere in a Beaker A cylindrical beaker of height 0.100m and negligible weight is filled...
Submerged Sphere in a Beaker A cylindrical beaker of height 0.100m and negligible weight is filled to the brim with a fluid of density ? = 890kg/m3 . When the beaker is placed on a scale, its weight is measured to be 1.00N .(Figure 1) A ball of density ?b = 5000kg/m3 and volume V = 60.0cm3 is then submerged in the fluid, so that some of the fluid spills over the side of the beaker. The ball is held...
Compound A is a water-soluble solid at room temperature with a molecular weight of 138.12 amu....
Compound A is a water-soluble solid at room temperature with a molecular weight of 138.12 amu. Describe one (or more) experiment(s) that you would perform in lab to determine if Compound A is a strong acid, weak acid, strong base, weak base, or none of these in water. State what you would do, what you would measure, and how you would decide the nature of Compound A in water?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT