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WorksheetsMaths-2
Total questions: 25
Worksheet time: 13mins
Evaluate Laplace inverse ℒ -1{1/S²}
1/S²
S/S²+1
1
t
Evaluate Laplace inverse ℒ -1{1/S}
1/S²
1/S
1
t
Evaluate Laplace inverse ℒ -1{W/S²+W²}
sin wt
S/S²+1
cos wt
t
Evaluate Laplace inverse ℒ -1{S/S²+W²}
sin wt
cos wt
1
t
Evaluate Laplace inverse ℒ {1}
1/S
1
1+(1/S)
2s
Evaluate Laplace inverse ℒ {t}
1/S
1/S²
1
2S
Find ∫ ( cos 𝒙 − sin 𝑥 ) 𝑑𝑥
cos 𝒙 − sin 𝑥 + C
sin 𝑥 +cos 𝒙 + C
sin 𝑥 -cos 𝒙 + C
2sin 𝑥 +cos 𝒙 + C
Find ∫2 6 3 𝑥 ²+2𝑥 d𝑥
252
20
264
240
Find ∫ (1/cos²x)+2 dx
tan x + 2
sin²x+2
sec²x+2
tan x + 2x
Find ∫ 1/𝑥 dx =
2/3(𝑥)
log x
log 2x
x²
Find ∫4𝑥 - 3/𝑥 dx
2𝑥²- 3 log 𝑥
4𝑥²- 3 log 𝑥
2𝑥²- 3 𝑥
2𝑥²+3 log 𝑥
Find ∫02Π sin 𝑥 d𝑥
1
-1
0
Π
∫ 2x + cos x - sin x dx
2x² + 2sin x + cos x +c
x² + 2sin x + 3cos x +c
x² + sin x + 2cos x +c
x² + sin x + cos x +c
Find ∫ ₑx + (1/x) dx
ₑx + log x
ₑx - log x
2ₑx + log x
ₑx + x
Find ∫ 2 log x dx
2 log x
log x - 2x
2x log x - 2x
2 log x- 2x
Find the distance between the pair of points (−6, 7) and (−1, −5)
169 units
13 units
17 units
14 units
Find the midpoint of the two points (5, 8) and (-5, -6)
(0, -6)
(0, 1)
(1, 0)
(-5, 1)
What is the circumference of a circle of diameter 10 𝑐𝑚 (Take π = 3.14)?
15.7 cm
31.4 cm
1.57 cm
3.14 cm
The area of trapezium is 1280cm² and the sum of the two parallel sides is 512cm. Find the distance between them.
210 cm
128 cm
6 cm
5cm
Meeta saves Rs. 400 from her salary. If this is 10% of her salary. What is her salary?
4000
40
40000
4
A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?
5
20
25
4
Find the value of x, if (x+7): (x+4) =3:2
2
6
9
5
Weightage multiplier (EMA) =
2 /(𝑡𝑖𝑚𝑒 𝑝𝑒𝑟𝑖𝑜𝑑-1)
2 /(2𝑡𝑖𝑚𝑒 𝑝𝑒𝑟𝑖𝑜𝑑+1)
2 /(𝑡𝑖𝑚𝑒 𝑝𝑒𝑟𝑖𝑜𝑑+1)
2 /(𝑡𝑖𝑚𝑒 𝑝𝑒𝑟𝑖𝑜𝑑+2)
σ²=Vaiance =
∑(𝑫𝒂𝒕𝒂 𝒑𝒐𝒊𝒏𝒕𝒔 − 𝒎𝒆𝒂𝒏)²/𝒏−2
∑(𝑫𝒂𝒕𝒂 𝒑𝒐𝒊𝒏𝒕𝒔 − 𝒎𝒆𝒂𝒏)²/𝒏−𝟏
2∑(𝑫𝒂𝒕𝒂 𝒑𝒐𝒊𝒏𝒕𝒔 − 𝒎𝒆𝒂𝒏)²/𝒏−𝟏 2
∑(𝑫𝒂𝒕𝒂 𝒑𝒐𝒊𝒏𝒕𝒔 − 𝒎𝒆𝒂𝒏)²/2𝒏−𝟏
------------ is the measure of the linear relationship between two quantitative variables (e.g., height and weight).
Regression & Correlation
Regression
Correlation
None of the above
