Topic
Q:
5. \( x^{2}+y^{2}+14 x-8 y+40=0 \)
Q:
The quadratic equation \( k x^{2}+(k-8) x+(1-k)=0, \quad k \neq 0, \quad \) has one root which is two
more than the other. Find \( k \) and the two roots.
Example 10
Q:
d. Choosing the letter A from the set \( \{ \) B A N A
Determine the probability of the following even
a. Getting tails when you toss a coin
b. Throwing a six when you toss a die
c. Choosing a toffee if you pick a sweet at ran
toffees and nine jellies
Q:
b Find \( a \) and the two roots of the quadratic equation.
5 The quadratic equation \( k x^{2}+(k-8) x+(1-k)=0, k \neq 0 \), has one root which is two
more than the other. Find \( k \) and the two roots.
Example 10
Q:
Q1. A ferromagnetic core is shown in Figure Q1. The depth of the core is 12 cm . The other dimensions
of the core are as shown in the figure. By assuming the magnetic leakage to be negligible and relative
permeability of the core is 1000.
(i) Calculate the total reluctance.
Q:
b) \( x^{2}+9 x+8=0 \)
Q:
Sã se calculeze:
\( 3^{100}:\left[3^{40} \cdot 3^{58}+\left(3^{10} \cdot 3^{15}\right)^{5}: 3^{27}+\left(4^{57}: 4^{56}-1^{4}\right) \cdot 3^{97}\right] \)
Q:
4. \( x^{2}+y^{2}-4 x+2 y+14=0 \)
Q:
Let \( (M):\left(2 y^{2}+3 x\right) d x+(2 x y) d y=0 \). Then
None of the mentioned
\( (M) \) is a non-exact ODE and \( x \) is an integrating factor.
\( (M) \) is a non-exact ODE and \( y \) is an integrating factor.
\( (M) \) is an exact ODE
Q:
2) Sã se calculeze:
b) \( 3^{100}:\left[3^{40} \cdot 3^{58}+\left(3^{10} \cdot 3^{15}\right)^{5}: 3^{27}+\left(4^{57}: 4^{56}-1^{4}\right) \cdot 3^{97}\right] \)
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