Calculus BC Practice Problems- MC

Calculus BC Practice Problems- MC

12th Grade

10 Qs

quiz-placeholder

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Calculus BC Practice Problems- MC

Calculus BC Practice Problems- MC

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF-BF.B.4C

Standards-aligned

Created by

Araceli Ramirez

Used 50+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If n is a positive integer, the function

 f(x)=x2+5cosxf\left(x\right)=x^2+5\cos x  will have how many points of inflection over the interval  [0,2πn]\left[0,2\pi n\right]  ?

2

 2π2\pi  

 nn  

 2n2n  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If  y22xy=21y^2-2xy=21  , then  dydx\frac{dy}{dx}  at the point  (2,3)\left(2,-3\right)  is

 65\frac{6}{5}  

 35\frac{3}{5}  

 25-\frac{2}{5}  

 35-\frac{3}{5}  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A particle moves in the xy-plane so that its position at any time is given by  x(t)=4sin(πt)x\left(t\right)=4\sin\left(\pi t\right)  and  y(t)=(3t1)2y\left(t\right)=\left(3t-1\right)^2  .  What is the speed of the particle at  t=2t=2  ?

13.708

30.209

32.526

42.566

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The second derivative of a function is given by f(x)=0.5+cos(x)exf''\left(x\right)=0.5+\cos\left(x\right)-e^{-x} .  Over the interval  [2,4]\left[-2,4\right]  the graph of the function  ff  changes from concave up to concave down at approximately  x=x=  


-0.36

0.59

1.93

3.10

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A particle moving along a curve in the xy-plane has a position vector given by (t44,sin(t))\left(\frac{t^4}{4},\sin\left(t\right)\right) .  What is the total distance the particle travels between  t=0t=0  and  t=πt=\pi  ? 


25.7

25.1

7.6

7.7

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If 2xf(t)dt=6x9x2203\int_2^xf\left(t\right)dt=\frac{6x}{\sqrt{9x^2-20}}-3 , then  2f(t)dt\int_2^{\infty}f\left(t\right)dt  is

divergent

-3

0

-1

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let f(x)=x37x2+25x39f\left(x\right)=x^3-7x^2+25x-39  and let  gg  be the inverse function of  ff  .  What is the value of  g(0)g'\left(0\right)  ?

25

10

 125\frac{1}{25}  

 110\frac{1}{10}  

Tags

CCSS.HSF-BF.B.4C

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