<span>∫(sinx cosx)^2dx = ∫(1/2sin 2x)^2 dx = 1/4∫sin^2 2x dx = 1/4∫1/2(1 - cos 4x)dx = 1/8∫(1 - cos 4x) dx = 1/8[x - sin 4x / 4] + c = 1/32(4x - sin 4x) + c
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78.8 rounded to the nearest tenths is 78.8
We can not round it to the tenths because it already is rounded to the tenths.
Answer:
x=0.450765 or x=−0.950765
Step-by-step explanation:
14x² + 7x - 6
→ Find the product, sum and factors
Product = -6
Sum = 7
Factors = No factors
→ Since there are no factors utilise the quadratic formula

→ List the values of a, b and c
a = 14
b = 7
c= -6
→ Substitute into the formula

→ Simplify
x=0.450765 or x=−0.950765
<u>Given</u>:
Given that an aquarium is being filled with water.
The given graph shows the height of the water over time as the aquarium is being filled.
We need to determine the slope of the graph.
<u>Slope</u>:
The slope of the given graph can be determined using the formula,

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)
Substituting these points in the above formula, we get;

Simplifying, we get;


Thus, the slope of the given graph is 2.5
It is...........
2.789=2 ones and 7 tenths 8 hundreths 9 thousandths