Let fequalsleft angle 2 xy plus z squared comma x squared plus yz comma 2 xz plus startfraction y squared over 2 endfraction right angle and let c be the circle r(t)equalsleft angle 6 sine t comma 4 sine t comma 3 cosine t right angle, for 0less than or equalstless than or equals2pi. evaluate modifyingbelow contour integral with upper c bold upper f times d bold r using any method.

Find the value of x. round the length to the nearest tenth

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Jude is making cement for a driveway. the instructions show the amount of each ingredient to make 1 batch of cement. complete each statement to adjust the ingredients for each new situation if jude uses these instructions.