The given slope field figure corresponds to one of the differential equations below. Identify the differential equation that matches the figure, and sketch solution curves through the highlighted points. (a) d y d x = 2 (b) d y d x = − x (c) d y d x = x 2 − 4 (d) d y d x = e x / 3
The given slope field figure corresponds to one of the differential equations below. Identify the differential equation that matches the figure, and sketch solution curves through the highlighted points. (a) d y d x = 2 (b) d y d x = − x (c) d y d x = x 2 − 4 (d) d y d x = e x / 3
The given slope field figure corresponds to one of the differential equations below. Identify the differential equation that matches the figure, and sketch solution curves through the highlighted points.
(a)
d
y
d
x
=
2
(b)
d
y
d
x
=
−
x
(c)
d
y
d
x
=
x
2
−
4
(d)
d
y
d
x
=
e
x
/
3
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
For number 9
The answer is A
Could you show me how
The answer is B,
Could you please show the steps to obtain the answer
2. Suppose that U(x, y, z) = x² + y²+ z² represents the temperature of a 3-dimensional solid object
at any point (x, y, z). Then
F(x, y, z) = -KVU (x, y, z)
represents the heat flow at (x, y, z) where K > 0 is called the conductivity constant and the
negative sign indicates that the heat moves from higher temperature region into lower temperature
region. Answer the following questions.
(A) [90%] Compute the inward heat flux (i.e., the inward flux of F) across the surface z =
1 - x² - y².
(B) [10%] Use the differential operator(s) to determine if the heat flow is rotational or irrotational.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY