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Textbook Exercises

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Calculus
Ch 1, Section 1.1 Real Numbers, Functions, and Graphs, Exercise 1

Let the value of a = -3 and b = 1 . The value of a is less than the value of b , a < b . - 3...

 Calculus
Ch 2, Section 2.1 The Limit Idea: Instantaneous Velocity and Tangent Lines, Exercise 1

Use the definition of average velocity

 Calculus
Ch 3, Section 3.1 Definition of the Derivative, Exercise 1

Find the line that touches the curve.

 Calculus
Ch 4, Section 4.1 Linear Approximation and Applications, Exercise 1

Use the definition Linear Approximation.

 Calculus
Ch 5, Section 5.1 Approximating and Computing Area, Exercise 1

The distance between the subintervals is calculated using the formula \Delta x = \dfrac{{b -...

 Calculus
Ch 6, Section 6.1 Area Between Two Curves, Exercise 1

Limits of the integral make it a definite integral.

 Calculus
Ch 7, Section 7.1 The Derivative of f(x) = bx and the Number e, Exercise 1

The power rule applies when the function has a variable base and a constant exponent.

 Calculus
Ch 8, Section 8.1 Integration by Parts, Exercise 1

Integrate \dfrac{d}{{dx}}\left( {uv} \right) = u\dfrac{{dv}}{{dx}} + v\dfrac{{du}}{{dx}} .

 Calculus
Ch 9, Section 9.1 Probability and Integration, Exercise 1

Check whether the properties of a probability density function satisfies or not.

 Calculus
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