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Crameleon

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Practice Exam

MCV4U — Calculus and Vectors

Final Examination

Section A: Multiple Choice

1. The derivative of f(x) = x³ is:

(a) 3x² (b) x² (c) 3x (d) x⁴

Solutions

Solution Guide

MCV4U — Calculus and Vectors

1. The derivative of f(x) = x³:

Answer: (a) 3x²

By the power rule, d/dx[xⁿ] = n·xⁿ⁻¹, so d/dx[x³] = 3x²...

New Feature

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Step Sheets teach you how to solve an entire class of problems — not just one. Paste a problem, topic, or screenshot and get a generalized method guide with prerequisites, ordered steps, equations, and common pitfalls.

Works with any problem — text, topic, or image
Generalizes to the full problem class (NPN → all BJT analysis)
Includes prerequisites, golden rule, and common mistakes
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Step Sheet

Integration by Parts

Master the method for integrating products of functions

Golden Rule

Choose u as the function that simplifies when differentiated (LIATE rule).

DerivativesBasic integralsChain rule

Identify u and dv

Apply LIATE to choose which factor becomes u

Compute du and v

Differentiate u and integrate dv

Apply the formula

Substitute into ∫u dv = uv − ∫v du

Simplify or repeat

The new integral should be simpler; if not, apply again

Common Mistakes

Forgetting to apply the formula recursively for repeated IBP...

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How it works

Three steps. That's all it takes.

Step 01

Enter your course info

Tell us your university, program, and course. That's all we need to get started.

Step 02

Upload your materials

Add lecture slides, notes, syllabi, or past exams. The more context, the better the result.

Step 03

Get your practice exam

Receive a realistic exam-style paper with detailed solutions — generated and ready to practice.

Realistic exam-style output

Get a full practice paper with a matching solution guide.

Practice Exam

University of Toronto

MATH 101 — Calculus I

Midterm Examination

Time: 2 hours | Total: 80 marks

Section A: Multiple Choice (20 marks)

1. The limit of (sin x)/x as x approaches 0 is:

(a) 0 (b) 1 (c) ∞ (d) DNE

2. The derivative of ln(x²+1) is:

(a) 2x/(x²+1) (b) 1/(x²+1) ...

Section B: Short Answer (30 marks)

3. Evaluate the integral...

Solutions

Solution Guide

MATH 101 — Calculus I

Section A: Multiple Choice

1. The limit of (sin x)/x as x approaches 0 is:

Answer: (b) 1

Apply L'Hopital's rule or use the squeeze theorem...

2. The derivative of ln(x²+1) is:

Answer: (a) 2x/(x²+1)

Apply chain rule: d/dx[ln(u)] = u'/u...

Common questions

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What is Crameleon and how does it work?

Crameleon is an AI-powered practice exam generator for university and high school students. You enter your course details (university, program, and course name), upload your study materials like lecture slides, notes, or syllabi, and Crameleon generates a realistic exam-style practice paper with full step-by-step solutions. The AI analyzes your materials to create questions that match your course's format, difficulty, and content — so you can practice before the real exam.

How do I create a practice exam?

Creating a practice exam takes three steps: First, enter your course info — your university, program, and course name. Second, upload your materials such as lecture slides, notes, past exams, or syllabi. The more context you provide, the more accurate the exam will be. Third, click Generate and Crameleon creates a full practice exam with matching solutions. You can download it as a PDF, study the solutions, and use the built-in AI study helper to ask follow-up questions.

What subjects and courses does Crameleon support?

Crameleon works for any university or high school course. Students use it for engineering, computer science, mathematics, physics, chemistry, biology, business, economics, psychology, history, and more. It supports courses from any university worldwide as well as standardized curricula like AP, IB, A-Level, and GCSE. The AI adapts to the specific format and difficulty level of your course based on the materials you upload.

Is Crameleon free to use?

Yes, Crameleon offers a free tier that includes 1 practice exam generation with full solutions, PDF downloads, 3 study-helper chat messages, and saved history. No credit card is required. You can try the full experience before deciding to upgrade. The free generation uses standard quality, which is still realistic and useful for studying.

How much does Crameleon cost?

Crameleon Pro costs $12.99/month or $79.99/year (saving $76/year). Pro includes 10 exam generations per month, premium research-backed generation quality, unlimited study-helper chat, unlimited saved history, 99 file uploads with 250 MB storage, and annotations with split view. Crameleon also offers one-time exam packs if you only need a few more generations without committing to a subscription.

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