An evergreen nursery usually sells a certain shrub after 6 years if growth and shaping. The growth rate during those 6 years is approximated by "(dh)/(dt)=3.5t+9" where "t" is the time in years and "h" is the height in centimeters. The seedlings are 15 centimeters tall when planted ("t=0"). How tall are the shrubs when they are sold? A. 165 cm B. 78 cm C. 132 cm D. 270 cm

Q: Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the…

A: Acidity measure in pH scale. if pH is less than 7 then material nature is acidic .If pH is greater…

Q: ?= 2/3?(3?−5)^4 Find?′

A:

Q: a=86.4 rounded to 1 DP b=2.81 rounded to 2 DP Find the maximum of a−b

A: Solution : - given that : a = 86.4 rounded to 1 decimal place                      b = 2.81 rounded…

Q: 0 -00 3 3 1 - 4x dx

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

Q: Suppose that y varies directly as the square root of x, and that y = 30 when x = 100. What is y when…

A:

Q: 3.0g x 0.011kg

A: In order to find the given product, we need to convert kilogram into grams.

Q: The dosage D of a drug that a physician prescribes Varies directly as the patient’s mass M and…

A:

Q: 6x to 7/2 power -42=0

A:

Q: 1 1/2 = 7/12 C C =  ?

A: 112=712C On simplification, we get ⇒2+12=712C⇒32=712C

Q: Find x. *: G. 50' (12x-25) 96

A: We have to find x

Q: (1/64)3n x 8 =26

A: Formula:

Q: Find r'(t) r(t) = 8/ti + t?Vij + In(t² )k

A: We will solve the following.

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.