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#### 1. Use the Laplace transform to convert the following differential equation into s-space and then solve...

1. Use the Laplace transform to convert the following differential equation into

*s*-space and then solve for Y(*s*): vy(t) +14y(t) = sin(3) + cos(54) (1) 2. Use the Laplace transform to convert the following differential equation into*s*-space and then solve for Y(*s*): "(t) + 3y(t) = 2)#### Determine the value of AG for the following reaction: Fe2O3 (s) + 3 H2(g) → 2...

Determine the value of AG for the following reaction: Fe2O3 (

*s*) + 3 H2(g) → 2 Fe(*s*) + 3 H2O(g) Fe2O3(*s*) H2(g) Fe(*s*) H2O(g) AHf (kJ/mol) -824.2 0 0 -241.8 Sº (J/K mol) 87.4 130.6 27.3 188.8#### An air-track glider is attached to a spring. The glider is pulled to the right and...

An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t=0

*s*. It then oscillates with a period of 1.9*s*and a maximum speed of 35 cm/*s*. What is the amplitude of the oscillation? What is the glider's position at t = 0.25*s*? (Measure relative to the equilibrium...#### What is the Laplace transform of: f(t)=-8sin(6t)+9H(t-27)cos(6t)? Your answer should be expressed as a function of...

What is the Laplace transform of: f(t)=-8sin(6t)+9H(t-27)cos(6t)? Your answer should be expressed as a function of

*s*using the correct syntax. Note that the correct syntax for it is Pi. For example: (2-3*exp(-Pi**s*)/(*s*^2+1) Laplace transform is F(*s*) = Skipped#### A negative feedback closed-loop system shown in the figure below is subjected to an input of...

A negative feedback closed-loop system shown in the figure below is subjected to an input of 5 V. Determine the output voltage (volts) if the system has a forward gain (G(

*s*)) of 1 and feedback gain (H(*s*) of 1. R(*S*) - G(*s*) C($) HI O1V 071 2.5 V 5V#### Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule:...

Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: a.

*S*(-11(5x + 7)5)dx b.*S*(4V7x - 1)dx C. J-8 siz3x cosx) dx d.*S*-6 dx 2x+3 e.*S*(-5sin(9x - 4))dx#### This is the starting material and product, both stereochemistry unknown. 1HNMR: Determine the stereochemistry of both...

This is the starting material and product, both stereochemistry unknown. 1HNMR: Determine the stereochemistry of both starting material and product and explain using the HNMR. Draw both structures including determined stereochemistry. HO OH Hydrobenzoin Acetal 10H,

*s*TMS reference (ignore) 2H,*s*3H,*S*3H, 3H, 3H,*s*#### 1. A 0.109 M aqueous solution of an unknown acid has a pH of 4.846. Calculate...

1. A 0.109 M aqueous solution of an unknown acid has a pH of 4.846. Calculate its Ka. 2. How would you change the volume of each of the following reactions to increase the yield of the products? a) CaCO3 (

*s*) CaO (*s*) + CO2 (g) b)*S*(*s*) + 3 F2 (g) SF6 (g)#### sectio direct THE The is inc plus surrc T 4 Predict and explain the changes in...

sectio direct THE The is inc plus surrc T 4 Predict and explain the changes in entropy for the following reactions: a N2(g) + 3H2(g) + 2NH3(g) b 2Mg(

*s*) + O2(g) → 2MgO(*s*) c CaCO3(*s*) CaO(*s*) + CO2(g) d H2O(1) H2O(g) i#### 3. (Logic) Answer the following questions: Construct the truth table for (p rightarrow r) (q rightarrow...

3. (Logic) Answer the following questions: Construct the truth table for (p rightarrow r) (q rightarrow r) doubleheadarrow (p q) rightarrow r Is the following argument valid? (r

*s*) (q*s*)*s*rightarrow (p r) rightarrow t) t rightarrow (*s*r) p rightarrow r

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