Calculus BC No Calc MCQ

What is the absolute minimum value of y = -cosx - sin on the closed interval?

C. - rad 2

dy/dx = x-y, f(2)=8, use euler's method to find f(3) at x=2.

C. 15/4

The polar curves... which of the follow gives total area of the shaded region....

C. 2 integral 1-costheta squared

dy/dx = x/y, f(8) = 2, f(8.1) =

C. 2.4

integral of 2^x

C. 2^x/ln2 + C

if dx/dt = 5 and .... then the double derivative is....

C. 2tcos(t^2) / 25

If f(x) = (5-x)/(x^3+2), then f'(x)

C. 2x^3 - 15 x^2 - 2 / (x^3+2)^2

integral 6/ (x+3)^3/2

C. 6

which of the following intervals must there be a number c such that f'c = 2?

C. 8,12

If the average value of a continuous function f on the interval is 12 what is....

C. 9

which of the following series is conditional convergent?

C. II and III only

Which of the following statements about convergence of the series 1/ln(n+1) is true?

C. diverges with comparison to 1/n

If integral f(x) = 8 and .... which cannot be determined...

C. integral 3(fx)(gx)

The function is not differentiable at x=5, what must be true?

C. lim f(x) - f(5)/ x-5 does not exist

If f(x) = 3x^2 + 2x, then f'(x) =

C. lim h-->0 f(x+h) - f(x)/ h

The graph f(x) is shown above, what is true?

C. lim x--> a does not equal f(a)

The graphs f and g are shown in the figures above. Which of the following statements is false?

C. lim x-->1 (f(x)g(x+1)) does not exist

What are all values of p for which integral 1/x^3p+1 converges?

C. p>0

Let f be the function given by 2cosx+1, use linear approximation for f(1.5)

C. pi - 2

To what number does the series (-e/pi)^k converge?

C. pi/ pi + e

MVT, closed interval, how many times?

C. two

which of the following series converges?

D. (-1)^n 2 rad n / n

If f(x) = cos^2(3x-5), then f'(x) =

D. -6sin(3x-5)cos(3x-5)

which of the following expressions gives the area of R?

D. 1/2 g^2 - f^2

integral of cos(2x)

D. 1/2 sin(2x) + 1/4cos(2x)

A function has a M series.... what is the coefficient of x^2....

D. 11/2 e^2

The position of a particle moving... 4t^3, y(2t). At t=1/2, what's the acceleration?

D. 12, 4y''(1)

d/dx(2(sinradx)squared

D. 2sinradx cos rad x/ rad x

If f(x) = series x^2n/n!, then f'(x) =

D. 2x + 2x63 + x^5.....

If f(x) is integral cos(t^2) then f'(rad x)

D. 3picos(pi^3)

integral of 3x+1 / x^2 - 4x + 3

D. 5ln(x-3) - 2ln(x-1) + c

If integral g(x) = -3 and the other is 5, what's the total?

D. 8

The graph of f"...

D. W graph

which of the following graphs is the solution to the carrying capacity question?

D. carrying cap at 500

The series 1-x^2.. converges to which of the following

D. e ^-x^2

The table above gives the values.... if it has two critical points on the open interval (10,14) which must be true

D. f'12 does not equal 0

What's the length of the curve y=sin3x?

D. integral 0 to pi/6 rad 1 + 9cos^2(3x)

The length of the curve y=sinx is given by..

D. integral from 0 to 3pi/4 rad 1+cos^2x

integral e^x-1 / e^x - x =

D. ln(e^pi - pi)

the temperature... dh/dt = 2H. +1... which is true?

D. ln|2H+1| = 2t + c

Lim x--> 7

D. nonexistent

Let r e the region bounded bob y= rad x-1.... which gives the volume...

D. pi integral 100 - (y^2+1)^2

which of the following statements about the series (-1)^n n/ n^2+1 is true?

D. the series can be shown to converge by AST

Which of the following statements about the series 1/2^n -n is true?

D. the series converges by the limit comparison test to the geometric series....

Let f be a function such that f'(x) = sin(x^2).. what are the first three nonzero terms...

D. x^3/3 - x^7/42...

integral of (x^1/3 - 4)^5 / 6x^2/3

A. (x^1/3 - 4)^6/12 + C

If f(x) (x^2+1)^3 what is the lim x--> 1 .....

A. -24

Integral of 1/t rad t

A. -2t^-1/2 + C

Which of the following is the interval of convergence for the series (x+2)^n / 2^n?

A. -4 < x < 0

What is the value of integral f'(x) dx using the graph?

A. -8

dy/dx = x+2y with f(0)=2, use Euler's method to approximate for f(-.4)

A. .76

Which of the following is a power series expansion of e^x + e^-x/2?

A. 1 + x^2/ 2! + x^4/4! ....

A spherical snowball, radius is 10 cm....

A. 1/50pi

A cube with edges of length x has volume v(x) = x^3.....

A. 10/3

integral (4x^3 - x)

A. 27/2

integral of 1+3x / (1-x)(3x-5)

A. 2ln (1-x) - 3ln(3x-5)

Let f be the function defined by.... minimum?

A. 3

what is the integral of x f'(x) ....

A. 3

if y = x rad 2x+5 then y' =

A. 3x+5/ rad 2x+5

integral of 6x^2-4x-25/ x-2..

A. 3x^2 + 8x - 9ln...

Greatest rate of change in students per second?

A. 5

If x^2 + xy - 3y = 3, then at the point (2,1) dy/dx =

A. 5

what is the value of h'(2)

A. 9/4

Which of the following is the interval of convergence for (x+4)^n/ n+5^n+1...

A. [-9, 1)

Let g... slope field....dy/dx = (x^2-1)g(y)

A. mountain top to value graph

Which of the following is the M series for cos(x^2)

A. x - x^5/2! +x^9/ 4!

Which of the following is the slope field for dy/dx = x^2 + y^2

B. *graph looks like a cubic function*

What is the slope of the line tangent to the curve rad x + rad y = 2....

B. -1/3

What is the slope of the line tangent to the polar curve r= 3theta.....

B. -2/pi

integral of x/2(e^-3x/4)

B. -2x/3....

lim 6x^2/e^x

B. 0

The second derivative is ____ at which values is there a point of inflection?

B. 0 and 3 only

What us the radius of convergence of the Maclaurin series for 2x/1+x^2?

B. 1

The position.. what is the velocity vector at t=1?

B. 1, -e^2

Particle, x=ln(t+1), tangent line at t=3 with slope of 8, value of k?

B. 1/3

integral of rad 5-x/5

B. 10/3

right riemenn sum, number of people who leave the building

B. 1150

trapezoidal approximation of cholesterol

B. 193

dy/dx = 2-y, y=1 when x=1, then y=

B. 2 -e^1-x

The slope of the line tangent to the graph y=xe^x at x=ln2 is...

B. 2ln2 + 2

Given that 3x - tan y = 4

B. 3cos^2y

Which of the following limits are equal to -1?

B. I and III only

if the power series converges at x=7.. which must be true?

B. II only

which of the following inequalities is true about L, T, R sums...

B. L < T < actual < R

series e^n/ pi ^n is...

B. e/ pi -e

Let g be twice differentiable, g(0)=20, g(10)=220...

B. g'(t) = 20 for some t in the interval

Which of the following expressions is equal to the limit of.....

B. integral of 1/2+x from 0 to 1

The graph of g', if g(0) = 1 what's g(3)?

B. pi + 2

What is the slope of the line tangent to the polar curve r=2theta squared....

B. pi/2

What is the sum of the series pi/e...

B. pi/e+1