Using the figure below, complete the chart by indicating whether each value is positive (+), negative (-), or zero (0) at the indicated points. For these problems, if the point appears to be a max or min, assume it is. If it appears to be a point of inflection, assume it is. f(x) b. d a a b d e g i f(x) f'(x) f"(x)

Q: Find the domain and range for the following function; y = -V1 - x2

A: Explanation Given that,  y=-1-x2     Concept Used: Domain: Domain is the set of all real numbers…

Q: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT…

A: see below the answer and explanation

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the…

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 +…

A:

Q: equation y=|x|

A:

Q: Does aboue given function Satefy the

A: Given - f = Ae-bz - vt2 To find - Does above given function satisfy the following equation ∂2f∂z2 =…

Q: Plot both of the following functions, take a range (-6,6) f (x)=x* – 2x° +3x² – 9

A: The given function is fx=x4-2x3+3x2-9 and range of x is -6, 6. Consider some values for x and find…

Q: 2 2 xy -42= 3

A: Given equation:-              2xy-y2=3

Q: Give the domain of the function  y = x2/3. as interval notation

A: Given : y = x2/3  To find : Domain of the given function.

Q: Find 2 of the following functions: dx a) y = (x²+3x)5

A:

Q: Make a cobweb diagram starting at the indicated point to find f(f(x) repeatedly. What point does it…

A: Here we have to make a cobweb diagram starting at the indicated point  and find f(f(x) repeatedly.…

Q: Assume the equations for A , B , C, and D can all be written in the form y = ab'.Which function has…

A: The exponential function: y=abt is increasing, if a>1 and is decreasing, if 0<a<1.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

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.