13. The function y= Asin (x)+7 has a maximum value of 19. What is its minimum value? Explain.

Q: Show that the function f(x) = Vx4 +3 is even but not odd.

A: The function is even if and only if for any x: f(-x)=f(x)   And the function is odd iff: f(-x)=-f(x)

Q: - from 3 4. (Light Bulb) An ornamental light bulb is designed by revolving the function f(x) = √z…

A:

Q: when the insulin injected in the blood stream of the patient, the insulin concentration (C.) are…

A: The concentration modeled function of time for insulin injected blood stream of the patient is as…

Q: Please show step-by-step solution

A: Given function is Firstly, we will find f'(x) and f''(x)

Q: (2xy + 3x²)e, + (x² – 2yz + 2y)e,- (e2 +y²)e, olan f(x,y,z)

A:

Q: At what value of x is f minimum?

A: To find: The value of x for which f is minimum. Calculation: It is observed from the graph that the…

Q: z=x2-y2 What value(s) of c does the level curve contain the point (3,1)? Can you have more than one…

A: We will find the value of c for the level curve which contains the point (3,1). So, by the given…

Q: [A: 3] 12. Analyze the differentiability of the function ( 2x5 + 6x + 1 , x>1 l2Vx + 8 , f(x) = at x…

A:

Q: Find the maximum and minimum values of the function f(r, y) = 10 + 5x + 14x2 + 8y + 14y? on the disk…

A:

Q: Sketch the graph of f(x)= 1/3x-x-3x+4 showing all the points of inflection, local max. and local…

A: It is defined that the inflection points are those points at which the rate of change of slope…

Q: = xy² subject to 2x² + y² = 216; x ≥ 0, y ≥ 0. Find the maximum value of z = Z =

A:

Q: M y = e x ( ² ₁ + C ₂ x + C ₂² x ²³). c (3).

A:

Q: What is the average rate of change for a quadratic function f(x) = ax? + 2 and x = 1 for fixed real…

A: The given function is fx=ax2+bx+c. Compute the average rate of change of function fx=ax2+bx+c from…

Q: A model rocket is launched from the ground at an initial velocity of 160 feet per second. The…

A: The height of the rocket at any time t can be modeled by the following function : h(t) = -16t2 +160t…

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.