CCCSP FUTA MTS102 PRE TEST

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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

20 Questions5 MinutesCreated by CalculatingEagle42

E^tan x

E^tan x sec^2x

E^tan x

E^tan x secx

Sec^2x

Differentiate 3cot x+5cosec x

�cosec x(3cosec x+5cot x)

�cosec 2x(3cosec x+5cot x)

�cosec x(3cosec x+5cot x)tanx

�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).

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?

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?

-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

If ∫∫ 2^x dx = f(x) + C, then f(x) is

2^x / loge²

2x / loge^x

2x logex

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

�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?

Find the limit of the function f(x) = (x^2 - 4)/(x - 2) as x approaches 2.

-4

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

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.

CCCSP FUTA MTS102 PRE TEST

Mathematical Mastery Quiz

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