40 20 12 24 Time (hr) Flow rate of water (m³hr)

Q: Find g'(x) for the given function. g(x) = V3x g'(x) = %3D

A: We need to find the derivative of gx=3x

Q: dy Use the following methods to approximate y(1.2) for the initial value problem (y? + y) dt t…

A: According to the given information, for part (a) it is required to approximate y(1.2) for initial…

Q: Let f(6) = 54 and f'(6) = 19. Let g(x) = (13+x²)f(x). Calculate the value of g' (6). %3D

A:

Q: (#7) y = log, ((3x – 5)(4 + 5x)')

A:

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04…

A:

Q: Let f(x)=xlnx+x. If f'(x)=0, solve for x. Round your answer to 4 decimal places.

A: So,  Given        fx = x lnx +x       f'x = ln x + xx+                = ln x +1  + 1…

Q: Estimate g(1.2) − g(1) if g'(1) = 4.

A: Given: g'(1)=4 Now, Using the Linear approximation formula:

Q: Let f (æ) = log2 (x). Find f' (2), round to three decimal places.

A:

Q: g(t) 8 g'(t) :

A:

Q: Before current environmental regulations were in place, a certain manufacturing plant released…

A: The integral equation is an equation that involves the integration of functions. integrable is a…

Q: A(t) = 3000e027z initial investment of 3000 dollars which pays 2.7% compounded continuously. a) Find…

A:

Q: At time t = 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of…

A:

Q: Given h' (a) = 7x2 + 21z' In a, find h (æ).

A:

Q: Find f'(z) of f(z) = Log(z2i).

A: Given complex function is  f(z)=log(z2i)

Q: Let g(x) = log3(æ). Find g'(4). g '(4).

A:

Q: A population of ladybugs begins with 50 ladybugs and increases at a rate of l'(t) ladybugs per week.…

A: A population of ladybugs begins with 50 ladybugs and increases at a rate of l'(t) ladybugs per week…

Q: Find h" (x) if h(x) = log,(cos(x)) – e®z. -

A:

Q: Si f(x) = (x2) / (1+x). Calcule f''(1).

A:

Q: The consumption of tungsten (in metric tons) in a country is given approximately by p(t) = 136t² + +…

A:

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.