The two locations of the aircraft in polar coordinates by using the radar station as the pole and due east as the polar axis, where at 10 : 15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10 : 25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
The two locations of the aircraft in polar coordinates by using the radar station as the pole and due east as the polar axis, where at 10 : 15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10 : 25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
The two locations of the aircraft in polar coordinates by using the radar station as the pole and due east as the polar axis, where at 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
(b)
To determine
The two locations of the aircraft in rectangular coordinates. Round the answer to two decimal places, where at 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
(c)
To determine
To calculate: The speed of the aircraft in miles per hour. Round the answer to one decimal place, where at 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
A graph of the function f is given below:
Study the graph of ƒ at the value given below. Select each of the following that applies for the value a = 1
Of is defined at a.
If is not defined at x = a.
Of is continuous at x = a.
If is discontinuous at x = a.
Of is smooth at x = a.
Of is not smooth at = a.
If has a horizontal tangent line at = a.
f has a vertical tangent line at x = a.
Of has a oblique/slanted tangent line at x = a.
If has no tangent line at x = a.
f(a + h) - f(a)
lim
is finite.
h→0
h
f(a + h) - f(a)
lim
h->0+
and lim
h
h->0-
f(a + h) - f(a)
h
are infinite.
lim
does not exist.
h→0
f(a+h) - f(a)
h
f'(a) is defined.
f'(a) is undefined.
If is differentiable at x = a.
If is not differentiable at x = a.
The graph below is the function f(z)
4
3
-2
-1
-1
1
2
3
-3
Consider the function f whose graph is given above.
(A) Find the following. If a function value is undefined, enter "undefined". If a limit does not exist, enter
"DNE". If a limit can be represented by -∞o or ∞o, then do so.
lim f(z)
+3
lim f(z)
1-1
lim f(z)
f(1)
= 2
=
-4
= undefined
lim f(z) 1
2-1
lim f(z):
2-1+
lim f(x)
2+1
-00
= -2
= DNE
f(-1) = -2
lim f(z) = -2
1-4
lim f(z)
2-4°
00
f'(0)
f'(2)
=
=
(B) List the value(s) of x for which f(x) is discontinuous. Then list the value(s) of x for which f(x) is left-
continuous or right-continuous. Enter your answer as a comma-separated list, if needed (eg. -2, 3, 5). If
there are none, enter "none".
Discontinuous at z =
Left-continuous at x =
Invalid use of a comma.syntax incomplete.
Right-continuous at z =
Invalid use of a comma.syntax incomplete.
(C) List the value(s) of x for which f(x) is non-differentiable. Enter your answer as a comma-separated list,
if needed (eg. -2, 3, 5).…
A graph of the function f is given below:
Study the graph of f at the value given below. Select each of the following that applies for the value
a = -4.
f is defined at = a.
f is not defined at 2 = a.
If is continuous at x = a.
Of is discontinuous at x = a.
Of is smooth at x = a.
f is not smooth at x = a.
If has a horizontal tangent line at x = a.
f has a vertical tangent line at x = a.
Of has a oblique/slanted tangent line at x = a.
Of has no tangent line at x = a.
f(a + h) − f(a)
h
lim
is finite.
h→0
f(a + h) - f(a)
lim
is infinite.
h→0
h
f(a + h) - f(a)
lim
does not exist.
h→0
h
f'(a) is defined.
f'(a) is undefined.
If is differentiable at x = a.
If is not differentiable at x = a.