Total number of ice cream flavors = 4
(chocolate,vanilla,mint chip, coconut)
Number of toppings = 2
(hot fudge , caramel).
Different sundaes could Maggie create using one scoop of ice cream and one toppings = {(chocolate, hot fudge),(chocolate, caramel), (vanila, hot fudge),(vanilla,caramel), (mint chip, hot fudge), (mint chip,caramel), (coconut,hotfudge),(coconut,caramel) }= 8
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.
