Section II Part B — Full Practice Exam 5

AP Calculus BC Full Practice Exam 5 Section II Part B
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Full Practice Exam 5

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  1. Examine the curve defined by $$e^{xy}-x=0$$ a) Verify that $$\frac{dy}{dx}=\frac{e^{xy}-ye^{xy}}{x e^{xy}}$$ b) Find the equation for the family of curves $$a e^{xy}-x=0$$ c) Determine the $$x$$-intercept(s) of $$a e^{xy}-x=0$$ d) Write the equation of the tangent line at the $$x$$-intercept.

    • a) $$\frac{dy}{dx}=\frac{e^{xy}-ye^{xy}}{x e^{xy}}$$ b) $$a e^{xy}-x=0$$ c) $$\left(a,0\right)$$ d) $$y=\frac{1}{a^2}(x-a)$$
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Examine the curve defined by exyx=0e^{xy}-x=0

a) Verify that

dydx=exyyexyxexy\frac{dy}{dx}=\frac{e^{xy}-ye^{xy}}{x e^{xy}}

b) Find the equation for the family of curves

aexyx=0a e^{xy}-x=0

c) Determine the
xx-intercept(s) of

aexyx=0a e^{xy}-x=0

d) Write the equation of the tangent line at the
xx-intercept.

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Frequently asked questions

How many questions are in Section II Part B — Full Practice Exam 5?

This practice set includes 2 questions. Finish in one sitting when possible, then review incorrect answers before retaking.

What topic does Section II Part B — Full Practice Exam 5 cover?

Section II Part B — Full Practice Exam 5 focuses on Full Practice Exam 5. Questions follow exam-style wording and difficulty so you can practice the skills tested on major Full Practice Exam 5 assessments. These are practice materials, not official exam questions.

How is Section II Part B — Full Practice Exam 5 scored?

Your score is the percentage of correct answers. A typical passing score is 70%. After you finish, review each miss with the available explanations on The School of Mathematics.

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