Answer:
The answer is 3x² + 10x
Explanation:
d/dx (x³ + 5x² - 2)
= d/dx (x³) + 5 d/dx (x²) - d/dx (2)
= 3x² + 5(2x) - 0
= 3x² + 10x
Thus, The answer is 3x² + 10x
<u>-TheUnknownScientist</u>
Answer:
404.4 m
Explanation:
Converting the initial speed from km/h to m/s then
The acceleration is resolved as shown in the figure hence
deceleration of the truck along the inclined plane will be
where g is acceleration due to gravity
Substituting g with then
Using kinematic equation
and making s the subject then
where v and u are final and initial velocities respectively
Substituting 0 for v, 38.89 m/s for u and then
The angle of reflection is "60°".
Here we apply the law of the concept of reflection then we get the final answer easily.
The angle of incident = angle of reflection
Then, the Angle of the incident =60°
What is reflection?
- Reflection is the phenomenon of light rays returning to the source after striking an obstruction.
- It resembles the way a ball bounces when we toss it on a hard surface.
- Some of the light rays that strike an item are reflected, some of them travel through it, and the remainder are absorbed by the object.
- The given values are:Light from a monochromatic source,= 560 nm
- The angle of incidence,= 60°
- The surface of fused quartz (n),= 1.56
- When a light ray does exist on a flat surface, the law or idea of reflection should apply since it includes both the reflected and "normal" light rays at the mirror surface.
- According to the above law,Angle of incident = angle of reflection
- Then, Angle of incident =60°.
To learn more about reflection visit: brainly.com/question/15487308
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Answer:
Explanation:
m = 0.5 kg
A = 0.15 m
vmax = 1.25 m/s
vmax = ω x A
1.25 = ω x 0.15
ω = 8.33 rad/s
(a) Let the spring constant be k
k = ω² m = 8.33 x 8.33 x 0.5 = 34.7 N/m
(b) Maximum acceleration, a max = ω² A = 8.33 x 8.33 x 0.15 = 10.42 m/s^2
(c) Let f be the frequency
ω = 2 π f
8.33 = 2 x 3.14 x f
f = 1.326 Hz
(d) Total energy
E = 1 /2 m x ω² x A² = 0.5 x 0.5 x 8.33 x 8.33 x 0.15 x 0.15 = 0.39 J