Answer:
here is the answer
Step-by-step explanation:
Evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
1 answer:
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Answer:
Correct integral, third graph
Step-by-step explanation:
Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.
Given : ∫ tan²(θ)sec²(θ)dθ
Applying u-substitution : u = tan(θ),
=> ∫ u²du
Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1
Substitute back u = tan(θ) : tan^2+1(θ)/2+1
Simplify : 1/3tan³(θ)
Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.
The average speed of Marcella in feet per seconds is 9.5 feet per second.
<h3>How are time taken for travel, distance traveled, and the average speed are related?</h3>We have this below shown relation between them
For the given case, we have:
The equation represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)
The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )
Let the initial time be 'x' with initial distance traveled 'y', then the time after one second will be (x+1), and the distance traveled be
The value of y and are calculated as:
Thus, the average speed is calculated at time 'x' as:
We could've also used the fact that in the relation of y to x as , 'm' denotes the rate of y as x changes.
Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.
Learn more about average rate here: