After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by v = 1.7 sin (pi)t/5 where t is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v < 0.)   (a) Find the time for one full respiratory cycle.  _______sec   (b) Find the number of cycles per minute. ___________cycles per minute

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: Find the slope of the tangent line to the sine function at the origin. y 2 -2- KIN 2 y = sin(3 x) ÄA…

A:

Q: Find the derivative of the function. f(z) = e?/(z – 5) f'(z) =

A:

Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…

A: Given is the function y=sinx and the point is x=π3 The rate of change is represented by two students…

Q: f sin x dx

A:

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d sec(2x – 5) dx = 100

A: we have to calculate the derivative using fundamental theorem of calculus

Q: During the time interval 2 <t < 6, the depth of snow on the ground, in centimeters, can be modeled…

A:

Q: the

A:

Q: Show your complete solution

A: We will find the derivative using Chain rule.

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A: To find the average number of deaths per 100 students in 2015, we need to plug in t = 2015 into the…

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A:

Q: Lesson 7 CL Activity # 1 #4 4. S(x) = (2x-6)* 4. f(x) =- (x+3) (2х-6)

A: We are asked to find the second deritives.

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.