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Use Euler's Method with N = 5 on the Interval 12\frac { 1 } { 2 }

question 121

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Use Euler's method with n = 5 on the interval 0 ≤ t ≤ 12\frac { 1 } { 2 } to approximate the solution f(t) to y=(y+t),y(0)=1f ( t ) \text { to } y ^ { \prime } = - ( y + t ) , y ( 0 ) = - 1 \text {. } Is the following the correct answer? t0=0;y0=1t1=0.1;y1=0.9t2=0.2;y2=0.82t3=0.3;y3=0.758t4=0.4;y4=0.7122t5=0.5;y5=0.68098\begin{array} { r l r l } &\mathrm { t } _ { 0 } = 0 ; & & y _ { 0 } = - 1 \\\mathrm { t } _ { 1 } & = 0.1 ; & & y _ { 1 } = - 0.9 \\\mathrm { t } _ { 2 } & = 0.2 ; & & y _ { 2 } = - 0.82 \\\mathrm { t } _ { 3 } & = 0.3 ; & & y _ { 3 } = - 0.758 \\\mathrm { t } _ { 4 } & = 0.4 ; & & y _ { 4 } = - 0.7122 \\\mathrm { t } _ { 5 } & = 0.5 ; & & y _ { 5 } = - 0.68098\end{array}


Definitions:

Marginal Revenue

The rise in earnings associated with the sale of one more unit of output.

Total Revenue Curve

A graphical representation showing how total revenue changes as the amount of goods sold varies.

Supply Curve

A graph showing the relationship between the price of a good and the quantity supplied, typically upward sloping, indicating that higher prices motivate more supply.

Lower Order Needs

Are physiological, safety and social needs in Maslow’s hierarchy.

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