CCCSP FUTA MTS102 PRE TEST
Mathematical Mastery Quiz
Test your knowledge of calculus and differential equations with our engaging quiz designed for students and enthusiasts alike. This quiz covers a variety of topics related to differentiation, integration, limits, and more!
- 20 multiple-choice questions
- Instant feedback on your answers
- Perfect for exam preparation
E^tan x
E^tan x sec^2x
E^tan x
E^tan x secx
Sec^2x
Differentiate 3cot x+5cosec x
ˆ’cosec x(3cosec x+5cot x)
ˆ’cosec 2x(3cosec x+5cot x)
ˆ’cosec x(3cosec x+5cot x)tanx
ˆ’sec x(3cosec x+5cot x)
Sin^2 (2x + 1)
2sin(4x+2)
2sin(4x+2)tanx
Sin(4x+2)
2sin(4x+2)cosx
Differentiate tan^2x.
2tan x sec^2x
2tan x sec2x
2tan x
2tan x sec3x
Differentiate sin(3x+5)
3 cos (3x+5)
3 cos (3x+5)sinx
3 cos (3x-5)
Sinxcosx
Differentiate ln(10).
0
1
2
3
The distance traveled by a particle from a fixed point is given as s = (t3 - t2 - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?
0
4
5
3
If y = x sinx, find dydx
Sinx + x cosx
Sinx + x cos2x
Xsinxcosx
Sinx+1
What value of x will make the function x(4 - x) a maximum?
1
2
4
-2
Evaluate ∫ e^(2z)cos ( z/4) d z .
(32e^(2z)cos(z))/64 + 4(e^(2z)sin(z/4))/65 + C
(32e^(2z)cos(z/4))/64 + 4(e^(2z)sin(z/4))/6+ C
(32e^(2z)cos(z/4))/64 + 4(e^(2z)sin(z/4)) +C
(32e^(2z)cos(z/4))/64 + 4(e^(2z)sin(z/4))/65 + K
0∫² (x2 + 3)dx equals? (Note 2 is the upper limit and 0 is the lower limit)
26/3
26/13
22/3
0
If ∫∫ 2^x dx = f(x) + C, then f(x) is
2^x / loge²
2x / loge^x
2x logex
0
Find integral of 1/(x²+6x+4) with respect to x.
(1/2√7)ln{(x-5-√7)/(x-5+√7)} + c
(1/2√7)ln{(x-√7)/(x-5+√7)} + c
(1/2√7)ln{(x-5-√7)/(x-5+√7)}
(1/2√7)ln{(x-5-√7)+(x-5+√7)} + c
ˆ«sin4xcos2xdx
1/2{sin²4x}
(1/2){sin6x+sin2x}
(1/2){cos2x+sin6x}
(1/2){sin4x+sin2x}
What is the area under the curve y = x^2 from x = 0 to x = 1?
1/3 square units.
1square units.
3 square units.
4/3 square units.
What is the total distance traveled by an object whose velocity is given by v(t) = 3t^2 - 6t + 2 from t = 0 to t = 2?
20/3 units.
20/7 units.
2/3 units.
20/33 units.
What is the work done by a force F(x) = 2x^3 - 3x^2 + 4x + 1 in moving an object from x = 0 to x = 2?
16
10
20
13
Find the limit of the function f(x) = (x^2 - 4)/(x - 2) as x approaches 2.
2
4
-4
6
Find the limit of the function g(x) = (2x^3 - 3x^2 + 4)/(x^3 - 4x^2 + 3x) as x approaches 0.
-1/3
1/2
1
-1
Find the equation of the tangent line to the curve y = 2x^2 + 3x - 1 at the point (1, 4).
y = 7x - 3.
y = 7x
y = 7x + 3.
y = 27x - 3.
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