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)

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.