Step-by-step explanation:
When x = 0,
sin3x / 6x = 0 / 0, which is an indeterminate form.
Hence we use L'Hospital's rule:
d/dx (sin3x) = 3cos3x
d/dx (6x) = 6
Now we have 3cos3x / 6 or 0.5cos3x.
When x = 0, 0.5cos3x = 0.5(1) = 0.5.
Hence the limit is 0.5.
bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.
Answer:
Graph B
Step-by-step explanation:
The equation for direct variation is y=kx, with k being the slope. As you can see from the equation, there is no y-intercept. In graph A, you would add 8; therefore, it does not meet the requirements for direct variation.
put x=0 then y=4
put y=0 then x=-4
therefore 2 ccordintes are
(0,4) and (-4,0)
take a scale and construct a line joining these two points.
you will get the required graph.
hope it helps.
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The value of 32 in the equation will serve as the time taken by the driver to travel
<h3>Functions and values</h3>
If Alice fills up the gas tank of her car before going for a long drive, and the equation that shows the amount of gas in gallons in Alice's car when she has driven m (miles). is given as:
g = 15 - m/32
The value of 32 in the equation will serve as the time taken by the driver to travel
Learn more on distance and time here; brainly.com/question/17273444
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