3. Calculate: 14.83 – 6.32 (a) (b) 45-4.62)- 1065e15 (/13 + 5)? 4. Calculate: 24.5 + 64/3.52 + 8.3 - 12.5 76.4- 28/15 (b) (5.9² – 2.42)/3 +(08 1012890 (a) 5. Calculate: (a) cos(증). (b) sin 80°- (cos 14°sin 80°)2 V0.18 tan 6. Define the variable x as x-6.7, then evaluate: (a) 0.01x – 1.4x + 80x + 16.7 (b) + e* – 51/x 7. Define the variable t as t- 3.2, then evaluate: (a) 561-9815 (b) 14ealtsin(2rt) 8. Define the variables x and y as x= 5.1 and y = 4.2, then evaluate: (6) -- (b) (xy)²-+y_ x+y (x-y))2" 2x-y 9. Define the variables a, b, c, and d'as: a - 12, b - 5.6, c = За , and d- a-b) , then evaluate: (a) +-(d-b)? (b) -25. d+c 10. A sphere has a radius of 24 cm. A rectangular prism has sides of a, a/2, and a/4. (a) Determine a of a prism that has the same volume as the sphere. (b) Determine a of a prism that has the same surface area as the sphere. a/4 a/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Calculate:
14.83 – 6.32
(a)
288
(13 + 5)?
(b) 45
-4.62) – 1065e-15
9.3
4. Calculate:
24.5 + 64/3.52 + 8.3 - 12.53
76.4 – 28/15
log 1012890, 2
(b) (5.92 – 2.42)/3 +(05 1o2890
e03
5. Calculate:
+tan sin(15°)
(b) sin?80°- (cos 14° sin80°)2
V0.18
(a) cos
6. Define the variable x as x= 6.7, then evaluate:
(a) 0.01x– 1.4x3 + 80x + 16.7
(b) 3 + e – 51/x
7. Define the variable t as t= 3.2, then evaluate:
(a) 561-9.81
(b) 14e0.1'sin(2rt)
8. Define the variables x and y as x= 5.1 and y= 4.2, then evaluate:
(a) --
(b) (xy)2 -*+y
(x-y)|2
x+y
2x-y
9. Define the variables a, b, c, and d as:
(a-b)
За
a = 12, b = 5.6, c -
62
and
then evaluate:
d-e
(a) +-(d-b)2
d+e
(b) ed-2b + In
10. A sphere has a radius of 24 cm. A rectangular
prism has sides of a, a/2, and a/4.
(a) Determine a of a prism that has the same
volume as the sphere.
(b) Determine a of a prism that has the same
surface area as the sphere.
a/4
a/2
a
Transcribed Image Text:3. Calculate: 14.83 – 6.32 (a) 288 (13 + 5)? (b) 45 -4.62) – 1065e-15 9.3 4. Calculate: 24.5 + 64/3.52 + 8.3 - 12.53 76.4 – 28/15 log 1012890, 2 (b) (5.92 – 2.42)/3 +(05 1o2890 e03 5. Calculate: +tan sin(15°) (b) sin?80°- (cos 14° sin80°)2 V0.18 (a) cos 6. Define the variable x as x= 6.7, then evaluate: (a) 0.01x– 1.4x3 + 80x + 16.7 (b) 3 + e – 51/x 7. Define the variable t as t= 3.2, then evaluate: (a) 561-9.81 (b) 14e0.1'sin(2rt) 8. Define the variables x and y as x= 5.1 and y= 4.2, then evaluate: (a) -- (b) (xy)2 -*+y (x-y)|2 x+y 2x-y 9. Define the variables a, b, c, and d as: (a-b) За a = 12, b = 5.6, c - 62 and then evaluate: d-e (a) +-(d-b)2 d+e (b) ed-2b + In 10. A sphere has a radius of 24 cm. A rectangular prism has sides of a, a/2, and a/4. (a) Determine a of a prism that has the same volume as the sphere. (b) Determine a of a prism that has the same surface area as the sphere. a/4 a/2 a
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