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The integral of $3x^{5}dx$ is:
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NUST Entry Test
Mathematics
Integration
$\int \frac{x}{\sqrt{4+x^{2}}}dx$ is equal to
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Mathematics
Integration
$\int e^{x}dx$ is equal to:
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Mathematics
Integration
$\int a^{u}du$ is equal to:
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Mathematics
Integration
The integral of $10^{-x)$ is:
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Mathematics
Integration
$\int f(x)$ is known as:
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Mathematics
Integration
An integral of $\frac{1}{2}dx$ is:
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Mathematics
Integration
If a flag-staff 6 m high placed on the top of a tower makes the shadow $2\sqrt{3}$ m on the ground, then the angle of elevation of the sun is
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Mathematics
Fundamentals of Trignometry
The angle of depression of the ship from the top of a tower 30 m high is $60^{\circ}$, the distance of the ship from the tower is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
A pole of 20 m high is broken in a wind storm and the top of the pole makes angle $30^{circ}$ with the ground. The height of the point at which it is broken is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
The angle of depression of a point A on the ground from the top of the tower is $30^{\circ}$, then the angle of elevation of the top of the tower at the point A is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
The angle of depression of the point at a distance 70 m from the foot of the tower from the top of the tower is $45^{\circ}$. The height of the tower is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
The angle of depression from the top of a tower at a point P on the ground is $30^{\circ}$. If the distance of the tower from P is 24 m, the height of the tower is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
When the angle between the ground and the sun is $30^{\circ}$, flag pole casts a shadow of 40 m long. The height of the top of the flag is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of $55^{\circ}$ to the horizontal, the length of the string is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
Two towers each 120 m high are 80 m apart. The measure of the angle of elevation from the base of one tower to the top of the other is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
The angle of elevation of the top of a tree from a point 17 m from its foot is $42^{\circ}$. The height of the tree is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
A ladder leaning against a vertical wall makes an angle of $24^{\circ}$ with the wall. Its foot is 5 m from the wall. Its length is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
A vertical pole is 8 m high and the length of its shadow is 6 m. The angle of elevation of the sun at that moment is
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
A triangle has six
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Mathematics
Fundamentals of Trignometry
The process of finding the unknown elements in triangle is called the
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
In right triangle ABC, if angle $\gamma=90${\circ}$, a=8 and b=8 then angle $\alpha$=?
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Mathematics
Fundamentals of Trignometry
In right triangle ABC, if $\gamma=90^{\circ}$, b=68.4, c=96.2, then side a=?
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Mathematics
Fundamentals of Trignometry
In right triangle ABC, if $\gamma=90^{\circ}$, a=5429, c=6249 then side b=?
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
In right triangle ABC, $\gamma=90^{\circ}$, $\alpha=37^{\circ}20'$ a=243 b=?
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NUST Entry Test
Mathematics
Fundamentals of Trignometry
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