For a given projectile, launched at an angle of 45 ° with the horizontal. Initial velocity is 64 feet per sec , find the parametric equations for the path of the projectile in terms of the parameter t representing time.
For a given projectile, launched at an angle of 45 ° with the horizontal. Initial velocity is 64 feet per sec , find the parametric equations for the path of the projectile in terms of the parameter t representing time.
Solution Summary: The author explains the parametric equations for the path of a projectile in terms of the parameter t representing time.
To calculate: For a given projectile, launched at an angle of 45° with the horizontal.
Initial velocity is 64 feet per sec, find the parametric equations for the path of the projectile in terms of the parameter t
representing time.
(b)
To determine
To calculate: The projectile is launched at an angle of 45° with the horizontal. The initial velocity is 64 feet per sec is given, find the angle α that the camera makes with the horizontal in terms of x and y and interms of t.
(c)
To determine
To calculate: The equation is α=tan−1(322t−16t2322t+50) is given, find the value of dαdt.
(d)
To determine
To graph: The provided equation is α=tan−1(322t−16t2322t+50), graph the provided equation of α in terms of t and find out if the graph is symmetric to the axis of parabolic arch of the projectile and also determine the time at which the rate of change of α is greatest.
(e)
To determine
To calculate: The provided equation is α=tan−1(322t−16t2322t+50), find the time at which the angle α is maximum and also find out if this occur when the projectile is at its greatest height.
x
The function of is shown below. If I is the function defined by g(x) = [* f(t)dt, write the equation of the line tangent to the graph of 9
at x = -3.
g
y
Graph of f
8
7
6
5
4
32
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3 4
5
6
7
8
9 10
-1
-2
-3
56
-6
-7
-8
Let f(x)=4excosxf'(x)=
The graph of the function f in the figure below consists of line segments and a quarter of a circle. Let g be the function given by
x
g(x) = __ f (t)dt. Determine all values of a, if any, where g has a point of inflection on the open interval (-9, 9).
8
y
7
76
LO
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2 3
♡.
-1
-2
3
-4
56
-5
-6
-7
-8
Graph of f
4 5
16
7
8
9 10
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