A. Find y in terms of x if yx=x6y−7 and y(0)=4. y(x)= (8/7x^7+4^8)^(1/8) . B. For what x-interval is the solution defined? (Your answers should be numbers or plus or minus infinity. For plus infinity enter "PINF"; for minus infinity enter "MINF".) The solution is defined on the interval: `

Step-by-step explanation:

part A)

given

so y in terms of x would be

part b)

in order to find intervals of function, we determine the intervals where the function has a positive first derivative . To find  intervals, first we  find the critical values, or  points at which the first derivative of the function is equal to zero. For the given function the intervals would be

put zero in equation

put 1

put 2

put 3

hence we can see that the interval is from zero to positive infinity

(PINF)

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

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