Question
function $f(x)=|x+1|, x=$ ________ is not differentiable.
✓
Answer
-1
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The values of k for which $|\text{k}\vec{\text{a}}|<|\vec{\text{a}}|$ and $\text{k}\vec{\text{a}}=\frac{1}{2}\vec{{\text{a}}}$ is a parallel to $\vec{\text{a}}$ holds true are _________.
→The values of k for which $|\text{k}\vec{\text{a}}|<|\vec{\text{a}}|$ and $\text{k}\vec{\text{a}}=\frac{1}{2}\vec{{\text{a}}}$ is a parallel to $\vec{\text{a}}$ holds true are _________.
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If $\text{f(x)}=\begin{vmatrix}(1+\text{x})^{17}&(1+\text{x})^{19}&(1+\text{x})^{23}\$1+\text{x})^{23}&(1+\text{x})^{29}&(1+\text{x})^{34}\$1+\text{x})^{41}&(1+\text{x})^{43}&(1+\text{x})^{47}\end{vmatrix}=\text{A}+\text{Bx}+\text{Cx}^2+\ \dots,$ then $A = .............$
→If $\text{f(x)}=\begin{vmatrix}(1+\text{x})^{17}&(1+\text{x})^{19}&(1+\text{x})^{23}\$1+\text{x})^{23}&(1+\text{x})^{29}&(1+\text{x})^{34}\$1+\text{x})^{41}&(1+\text{x})^{43}&(1+\text{x})^{47}\end{vmatrix}=\text{A}+\text{Bx}+\text{Cx}^2+\ \dots,$ then $A = .............$
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The least value of the function $\text{f(x)}=\text{ax}+\frac{\text{b}}{\text{a}}(\text{a}>0,\text{b}>0,\text{x}>0)$ is ______.
→The least value of the function $\text{f(x)}=\text{ax}+\frac{\text{b}}{\text{a}}(\text{a}>0,\text{b}>0,\text{x}>0)$ is ______.
Fill in the blanks: The curves $y = 4x^2 + 2x - 8$ and $y = x^3 - x + 13$ touch each other at the point $.........$
→The value of P in the differential equation $\frac{d y}{d x}-y=\cot x$ will be ___________ .
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If the feasible region for a LPP is _________, then the optimal value of the objective function Z = ax + by may or may not exist.
If the feasible region for a LPP is _________, then the optimal value of the objective function Z = ax + by may or may not exist.
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If $x = -9$ is a root of $\begin{vmatrix}\text{x}&3&7\\2&\text{x}&2\\7&6&\text{x}\end{vmatrix}=0,$ then other two roots are __________.
→If $x = -9$ is a root of $\begin{vmatrix}\text{x}&3&7\\2&\text{x}&2\\7&6&\text{x}\end{vmatrix}=0,$ then other two roots are __________.
If $2 P ( A )= P ( B )=\frac{5}{12}$ and $P \left(\frac{A}{B}\right)=\frac{1}{5}$, then $P(A \cup B)$=______.
→A mirror in the shape of an ellipse represented by $\frac{\text{x}^2}{9}+-\frac{\text{y}^2}{4}=1$ was hanging on the wall. Arun and his sister were playing with ball inside the house, even their mother refused to do so. All of sudden, ball hit the mirror and got a scratch in the shape of line represented by $\frac{\text{x}}{3}+\frac{\text{y}}{2}=1$ 
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→ Based on the above information, answer the following questions.
- Point(s) of intersection of ellipse and scratch (straight line) is (are).
- (0, 2), (3, 0)
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- The value of $\frac{2}{3}\int\limits_{0}^{3}\sqrt{9-\text{x}^2}\text{dx}$ is.
- $\frac{\pi}{2}$
- $\pi$
- $\frac{3\pi}{2}$
- $\frac{\pi}{4}$
- The value of $2\int\limits_{0}^{3}\bigg(1-\frac{\text{x}}{3}\bigg)\text{dx}$ is.
- 0
- 1
- 2
- 3
- Area of the smaller region bounded by the mirror and scratch is.
- $3\Big(\frac{\pi}{2}+1\Big)\text{ sq.units}$
- $\Big(\frac{\pi}{2}+1\Big)\text{ sq.units}$
- $\Big(\frac{\pi}{2}-1\Big)\text{ sq.units}$
- $3\Big(\frac{\pi}{2}-1\Big)\text{ sq.units}$
If $y=\tan x^2$ then $\frac{d y}{d x}=$……..
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