2. consider a temperature-regulated oven where the temperature at position (x, y, z), in cm, is given byt(x, y, z) =x+y21+z2, in◦c.(a) particle a is at (4,3,1) and starts moving towards (2,1,0). how fast is the temperature atparticle a changing? (include ) particle b is at (1,2,−1) and wants to moving the direction which willdecreaseits temperaturethe fastest. what direction should particle b move? (c) particle c is at (3,1,0) and is moving directly downwards. how fast is the temperature atparticle c changing?

its 50 miles away from the starting point

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)