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The derivative of a product. The rule is: the first times the derivative of the second PLUS the second times the derivative of the first. simplify your answer. The derivative of the first: 4x-2 The derivative of the second -3x^-4 -8x^-5 Can you finish with these hints?
Use the slope formula. m = (x2-x1)/(y2-y1) 2 = (2 -1)/(y-3) Multiply (y-3) times each side of the equation. Simplify and solve for y.
n = ist number n+1 = second number the sum: n + n + 1 or 2n + 1 reciprocal we would want 1/(2n+1) and that should equal 11/30 Set the two fractions equal to each other Cross multiply and then solve for n. then find n+1
12/60 = 1/5 of an hour 1 tank can be filled in 1/5 of an hour your rate is 5 tanks per hour 20/60 = 1/3 of an hour The tank can be filled in 1/3 of an hour. your rate is 3 tanks per hour (5 tanks per hour)time + (3 tanks per hour)time = 1 tank filled 5t + 3t = 1 t =1/8 of an h...
This is derivative of a division (fraction. the rule is the denominator times the derivative of the numerator - the numerator times the derivative of the denominator. ALL OVER the denominator squared. The denominator of the derivative is the easy part. It is just (t^4 -2)^2 No...
a. equal number of each Combinations again.. architects 4!/(2!2!) engineers 6!/(2!4!) electricians 9!/(2!7!) b. remove the 2 engineers from the choices which would leave 4 architechts, 4 engineers and 9 electricians Now, we have 17 to choose from to make a group of 6. 17!/(6! ...
Remember an odd number has to end with 1, 3, 5, 7, or 9 An even number is divisible by 2 and has to end in 0, 2, 4, 6, or 8
24 is the original perimeter. P = 2l + 2w Just wanted to add that information. You could also just multiply the 24 times 1.5 to get the new perimeter of 36 and then take the difference. The math is a little easier.
This is a combination Do you know that 5! = 5x4x3x2x1 =120?? from the 10 people you will choose 7 10! divided by (7!3!) Once you have your group of 7 then there are only 3 people left to put into the group of 3. That is only 1 way. I think the answer is 4320 ways. for 3 groups...