Work across six domains: specify requirements, test models, compare prototypes, trace feedback, diagnose failures and communicate reproducible evidence.
These 12 public cases sample all six engineering-course domains. Each asks for a numerical response or evidence choice and a written explanation. These are original stipulated model and paper scenarios, not measured device results. Explain the assumptions, an alternative and the evidence that could change your conclusion.
Record your reasoning before submitting. The first numerical or choice response stays recorded; explanation drafts remain editable and are not a locked first-attempt record. Feedback and keys are public in this static application. Three attempts per case support practice, not a secure examination or independently demonstrated understanding.
0/12 cases attempted; 0/12 first responses match the public keys. Unattempted cases provide no evidence. Neither count changes lesson completion or awards course mastery. Repeated or imported exposure remains known.
Apply the hard constraint first
Two fictional insulation candidates both meet an 80 W ceiling. A is 30 mm thick and transfers 75 W; B is 40 mm and transfers 60 W. A hard second-layer thickness limit is 30 mm. Which is eligible?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Repair a vague temperature requirement
Which statement is a reviewable repair of “the heater should be warm enough” for this model?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Convert delivered power to energy
A heater applies 20 W for one 10 s interval. How much energy enters the modeled thermal node?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Close the thermal boundary account
In a synthetic interval, applied input is 200 J and stored-energy increase is 190.32516393 J. With no other transfers, how much energy goes outward to ambient?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Retain a failed requirement in a hardware comparison
At nominal gain 2 and zero correction, insulated hardware uses 1624.625 J and ends at 31.481°C; standard hardware uses 1821.035 J and ends at 29.766°C. The required tail band is 29–31°C. Which conclusion is supported?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Challenge an additive correction
A public paper packet gives exact reference/indication pairs 20/22, 30/33 and 40/44°C. Which interpretation fits all three?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Keep request distinct from delivered power
Target is 30°C, corrected indication is 27°C, gain is 6 W/K and feedforward is 10 W. What power is requested before the nominal 20 W actuator clips it?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Identify the time actually observed
A controller commands at 70 s using a reading two 10 s samples old. What true-state time does it observe?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Preserve competing circuit diagnoses
In the supplied ideal 6 V series circuit with nominal R1=100Ω and R2=200Ω, terminal voltage is 6 V and loop current is 0 mA. Among the five public hypotheses, which remain compatible?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
State the supplied-suite denominator
Standard hardware at gain 2 with zero correction passes nominal and delayed cases, and fails offset and limited cases. What percentage of these four supplied cases passes?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Repair an incomplete model recipe
A report records gain and final temperature but omits hardware, correction, scenario, initial conditions, interval length and event order. Which repair supports reproduction?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Bound the design claim
A learner tunes a candidate using the public delayed case and then reruns that same case successfully. What evidence label is supported?
Include your reasoning before recording a response. Explain the mechanism, evidence and assumptions. This saved draft stays editable after feedback; it is not a locked first-attempt explanation and is not automatically graded.
Responses cannot be saved while storage is loading, unavailable or conflicted. Resolve storage before continuing.
0/3 attempts recorded. No recorded feedback exposure in this notebook.
Bring the reasoning to review
A reviewer should check your calculations, evidence integrity, model assumptions and alternatives across these domains, then assign an unfamiliar task and review your project revision. Correct public responses alone do not establish practical technique or independent investigation.
Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.
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Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.
Complete file sets and course backups
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