A stunt man drives a car at a speed of 25 m/sec off a 10 -m cliff. The road leading to the edge of the cliff is inclined upward at an angle of 16 ° . Choose a coordinate system with the origin at the base of the cliff directly under the point where the car leaves the edge. a. Write parametric equations defining the path of the car. b. How long is the car in the air? Round to the nearest tenth of a second. c. How far from the base of the cliff will the car land? Round to the nearest foot.
A stunt man drives a car at a speed of 25 m/sec off a 10 -m cliff. The road leading to the edge of the cliff is inclined upward at an angle of 16 ° . Choose a coordinate system with the origin at the base of the cliff directly under the point where the car leaves the edge. a. Write parametric equations defining the path of the car. b. How long is the car in the air? Round to the nearest tenth of a second. c. How far from the base of the cliff will the car land? Round to the nearest foot.
Solution Summary: The author calculates the parametric equation that represents the path of the car if it cliff off with an initial speed of 25m/sec.
A stunt man drives a car at a speed of
25
m/sec
off a
10
-m
cliff. The road leading to the edge of the cliff is inclined upward at an angle of
16
°
. Choose a coordinate system with the origin at the base of the cliff directly under the point where the car leaves the edge.
a. Write parametric equations defining the path of the car.
b. How long is the car in the air? Round to the nearest tenth of a second.
c. How far from the base of the cliff will the car land? Round to the nearest foot.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
If you don't get this in 3 tries, you can get a hint.
Question 2
1 pts
Let A be the value of the triple integral
SSS.
(x³ y² z) dV where D is the region
D
bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0.
Then the value of sin(3A) is
-0.003
0.496
-0.408
-0.420
0.384
-0.162
0.367
0.364
Question 1
Let A be the value of the triple integral SSS₂ (x + 22)
=
1 pts
dV where D is the
region in
0, y = 2, y = 2x, z = 0, and
the first octant bounded by the planes x
z = 1 + 2x + y. Then the value of cos(A/4) is
-0.411
0.709
0.067
-0.841
0.578
-0.913
-0.908
-0.120
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY