(a)

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :


(b) The series

converges by comparison to the convergent <em>p</em>-series,

(c) The series

converges absolutely, since

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.
In mathematics multiplying decimals is just like multiplying a whole number and ignoring the decimals., then just put the decimals in the answer – it is how many decimals does the two numbers combined.
First step:
Line the numbers on the right and do not a line the decimal points
26.2
× 16.43
Second Step:
Multiply the numbers starting on the right, just like multiplying a whole number and ignore the decimals.
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430466
Third step: add the products
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430.466 is the mathematician’s answer.
Answer:
21.06÷9 = 2 and 36 left over
Step-by-step explanation:
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
Answer:
The value of x for the given expression is 5 .
Step-by-step explanation:
Given expression as
+
= 
Now, arrange the equation
So,
=
- 
<u>Taking L.C.M on right hand side </u>
Or,
=
Or,
=
Or, x = 
∴ x = 5
So, The value of x = 5
Hence,The value of x for the given expression is 5 . Answer