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40
MCQ (Single Correct Answer)

If $y=x^4-10$ and $x$ changes from 2 to 1.99, then what is the change in $y$ ?

A
0.32
B
0.032
C
5.68
D
5.968
41
MCQ (Single Correct Answer)

The equation of tangent to the curve $y\left(1+x^2\right)=2-x$, where it crosses $X$-axis, is

A
$x+5 y=2$
B
$x-5 y=2$
C
$5 x-y=2$
D
$5 x+y=2$
42
MCQ (Single Correct Answer)

The points at which the tangents to the curve $y=x^3-12 x+18$ are parallel to $X$-axis are

A
$(2,-2),(-2,-34)$
B
$(2,34),(-2,0)$
C
$(0,34),(-2,0)$
D
$(2,2),(-2,34)$
43
MCQ (Single Correct Answer)

The tangent to the curve $y=e^{2 x}$ at the point $(0,1)$ meets $X$-axis at

A
$(0,1)$
B
$\left(-\frac{1}{2}, 0\right)$
C
$(2,0)$
D
$(0,2)$
44
MCQ (Single Correct Answer)

The slope of tangent to the curve $x=t^2+3 t-8$ and $y=2 t^2-2 t-5$ at the point $(2,-1)$ is

A
$\frac{22}{7}$
B
$\frac{6}{7}$
C
$-\frac{6}{7}$
D
$-6$