One or more initial conditions are given for the differential equation. Use the qualitative theory of autonomous differential equations to sketch the graphs of the corresponding solution. Include a yz-graph as well as a ty-graph.  Do these graphs represent the situation? Enter just "yes" or "no".

Fill in the blank(s) with the appropriate word(s).


"yes"

Mathematics

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Solve the initial value problem for y as a function of x.x   = 1, x > 2, y(4) = 0

A. y =  sin-1  + 
B. y =  sec-1 
C. y = sec-1  - 
D. y =  sec-1  - 

Mathematics

Write the vertex form of the equation of the parabola shown in the given graph. Assume a = ±1.

A. y = (x - 4)2 - 1 B. y = -(x - 4)2 - 1 C. y = (x + 4)2 - 1 D. y = (x - 4)2 + 1

Mathematics

Verify the identity.sec2  =  

What will be an ideal response?

Mathematics

Solve the problem.Don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit for $10. If he sold a total of 762 boxes and his total income was $8125, how many boxes of oranges did he sell?

A. 458 boxes B. 383 boxes C. 257 boxes D. 505 boxes

Mathematics