(a)

4. (30%) Consider a bipolar active-loaded CE amplifier having the load current source implemented with a pnp transistor, Let the circuit be operating at a 1-mA bias current. The transistors are specified as follows: β(npn) = 200, early voltage VAn = 150 V, |VApl = 100 V, Cπ = 15 pF, Cµ = 0.4 pF, CL = 5pF, and base resistance rx = 200 Ω. The amplifier is fed with a signal source having a resistance of 30 kΩ. Determine (a) midband gain AM, (b) input capacitor Cin and high-frequency response fH using the Miller effect, (c) fH using open-circuit time constants, (d) the frequency of the transmission zero fz,and (e) the gain-bandwidth product. Thermal voltage is 25 mV. (5%*6)

IV. Read the short passage and respond to the comment: write an essay of about 300 words to explain what you think "liberal" in "liberal arts" means and why it is important OR not important to continue using this term. "The term 'liberal arts' no longer works as an effective means of communicating one of higher education's most precious assets. 'Liberal' is politically charged, and 'arts' has a negative connotation regarding improving graduates' job prospects. Putting the words liberal and arts together is a branding disaster, and the most effective way to save or defend the liberal arts may be to change what we call them. Note, the problem isn't with the substance of a liberal arts education but with the words we use to describe it."(excerpt from Gallup with minor revisions, https://www.gallup.com/education/231746/higher-education-drop-term-liberal-arts.aspx)

第貳部分:作文題Our emotional, psychological, and social well-being is all part of our mental health. At every stage of life, mental health is important because it affects how we think, feel, and act as we deal with life.Please compose a 300-word essay discussing effective approaches for university students to maintain mental wellness.

IV. CompositionIt has been suggested, "education should be regarded as the means by which the inequalities among individuals are to be erased and by which every desirable end is to be achieved." Use the preceding quote as the main idea to develop an article of approximately 300 words and make sure you provide a title for your essay.

(b)

(a) x sec²x dx.

(b)dx.

3. (10 points) Evaluate |(0,1) foru(x,y) = (eˣ - dt.Note: Answer must in numerical expression and natural constants like π, e, ...etc.

4. (10 points) Evaluate |(2,0) foru(x,y) = h(x² + y², 3x – 4y)whereh(s,t) =

5. (10 points) Find the volume of the solid generated by rotating the curvey = sin(x²)over 0 ≤ x ≤ 1 around the y-axis.