Complete Question
The displacement (in centimetres) of a particle moving back and forth along a straight line is given by the equation of motion
s = 4 sin(πt) + 2 cos(πt),
where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
i. [1,2]
ii. [1 ,1.1]
iii. [1, 1.01]
Answer:
Step-by-step explanation:
From the question we are told that
Equation of motion is given by
Generally equation for average velocity is mathematically given by
a) Co-ordinate(1,2)
b)Co-ordinate(1,1.1)
c) Co-ordinate(1,1.01)
Answer:
Scale factor of ΔXYZ to ΔUVW will be 1/5
Step-by-step explanation:
Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.
ΔXYZ ~ ΔUVW
Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.
And the scale factor =
=
=
=
Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5
Answer:
(f*g)(x) = 3x³+12x²-7x-28
Step-by-step explanation:
What (f*g)(x) means is that we multiply f(x) by g(x):
f(x) = x+4
g(x) = 3x²-7
(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28
The area of the triangle is C. 6
Answer:
<h2>x=2 , x = 6</h2>
Step-by-step explanation:
x² – 8x = 20 ⇌ x² – 2(4)x = 4 + 16 ⇌ x² – 2(4)x - 16 = 4 ⇌ (x - 4)² = 4
⇌ x - 4 = 2 or x - 4 = -2 ⇌ x = 6 or x = 2