Mathematics Test 278

Result

Mathematics Test 278

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

What is the value of expression after solving limits:

A
e⁴

B
e²

C
e³

D
1

Solution
Question 2
4 / -1

A
1/2

B
-1/2

C
-2

D
2

Solution
Question 3
4 / -1

A
∞

B
-1

C
0

D
1

Solution
Question 4
4 / -1

Solve: lim_x→0 tan x =

A
0

B
1

C
-1

D
None of these

Solution
Question 5
4 / -1

A
3

B
4

C
5

D
9

Solution
Question 6
4 / -1

For a function g(x), g(x) is continuous for all x ∈ R. If g(0) = g'(1) = 1 and then what is the value of g(1)?

A
2

B
-2

C
3

D
4

Solution
Question 7
4 / -1

A
1/2

B
2

C
3/4

D
3/2

Solution
Question 8
4 / -1

The area (in sq. units) of the region {(x, y) ∈ R² : x² ≤ y ≤ 3 - 2x} is

A
31/3

B
32/3

C
29/3

D
34/3

Solution

x²= 3 - 2x

x² + 2x - 3 = 0

x = -3, 1

= 32/3
Question 9
4 / -1

A
-2 (x sin y + cos x) + c

B
2(cos x + x sin y) + c

C
2 (cos x - x sin y) + c

D
2 (cos x + cos y) + c

Solution
Question 10
4 / -1

A

B

C

D

Solution