A graph can show that a rate of change is constant as long as the graph is of a straight line.
Any curvature in the line suggests a rate of change that is variable, but otherwise it is constant.
We are given the function <span>f(x)=sqrt of (4sinx+2) and is asked to find the first derivative of the function when x is equal to zero.
</span><span>f(x)=sqrt of (4sinx+2)
f'(x) = 0.5 </span><span>(4sinx+2) ^ -0.5 * (4cosx)
</span>f'(0) = 0.5 <span>(4sin0+2) ^ -0.5 * (4cos0)
</span>f'(0) = 0.5 <span>(0+2) ^ -0.5 * (4*1)
</span>f'(x) = 0.5 (2) ^ -0.5 * (4)
f'(x) = -.1.65
Answer:
8.6
Step-by-step explanation:
Use the distance formula to find the distance between the two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
√[(3 - -4)² + (3 - -2)²]
√[(7)² + (5)²]
√[(49) + (25)]
√74
8.6
Answer:
B) 5
Step-by-step explanation:
Multiply both sides by 5
2(10x + 15) = 130
Distributive property
20x + 30 = 130
Subtract both sides by 30
20x = 100
Divide both sides by 20
x = 5
Answer:
It's parallel. Both have a slope of 3 and they have different y intercepts
Step-by-step explanation:
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