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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