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