1. We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/ft, the cost of the bottom is $2/ft and the cost of the top is $7/ft. If we have $700 determine the dimensions of the field that will maximize the enclosed area. (Source: http://tutorial.math.lamar.edu/Problems/CalcI/Optimization.aspx)
2. The position of an object is given by s(t) = 2 + 7 cos (t). Determine all the points where the object is not moving. (Source:http://tutorial.math.lamar.edu/Problems/CalcI/DiffTrigFcns.aspx)
well explained!
ReplyDeleteThanks, Rayshelle!
DeleteThis really helped! thank you!
ReplyDeleteYou're welcome, Dean!
DeleteQuestion po, paano kinukuha yung first derivative? Thanks po :)
ReplyDeleteActually, there are different rules in getting the derivative of a function. For instance, in the first problem, I used the power rule where I multiplied 35 by the exponent of x , which is one. This is the same with 9/20 where I got 9/10 as a result of multiplying it with the exponent of x, which is two. After multiplying the exponent of the variable with the constant, subtract one from the exponent of the variable. So for 35x^2, the first derivative will be 35x since 35 times one is 35 and x^2-1 is x. If you're having trouble understanding, I suggest you watch: https://www.khanacademy.org/math/ap-calculus-ab/basic-differentiation-ab/basic-differentiation-rules-ab/v/derivative-properties-example .
DeleteQuestion po, paano kinukuha yung first derivative? Thanks po :)
ReplyDeleteActually, there are different rules in getting the derivative of a function. For instance, in the first problem, I used the power rule where I multiplied 35 by the exponent of x , which is one. This is the same with 9/20 where I got 9/10 as a result of multiplying it with the exponent of x, which is two. After multiplying the exponent of the variable with the constant, subtract one from the exponent of the variable. So for 35x^2, the first derivative will be 35x since 35 times one is 35 and x^2-1 is x. If you're having trouble understanding, I suggest you watch: https://www.khanacademy.org/math/ap-calculus-ab/basic-differentiation-ab/basic-differentiation-rules-ab/v/derivative-properties-example .
DeleteThis one's a big help, keep it up! ��
ReplyDeleteThanks, Ace!
DeleteThis is very helpful po. Thank you po ate :)
ReplyDeleteYou're welcome!
DeleteHighly informative and easily understandable. Thank you!
ReplyDeleteYou're welcome!
DeleteEasily understood. Probably the best lesson I had in ages! Thank you!
ReplyDelete