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Lubov Fominskaja [6]
2 years ago
8

Im having trouble with this, mind answering a question, or 2?

Mathematics
1 answer:
Aleks04 [339]2 years ago
7 0
Question 5 - A

Question 6 - B
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Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t
SCORPION-xisa [38]

Answer:  

a)  28,662 cm²  max error

    0,0111     relative error

b) 102,692 cm³  max error

   0,004     relative error

   

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL  =  2*π* dr    ⇒  dr = 0,5 / 2*π

dr =  1/4π

The equation for the volume of the sphere is  

V(s) =  4/3*π*r³     and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s)  =  4*2*π*r* dr    ⇒  where  2*π*r = L = 90

Then    

dS(s)  =  4*90 (1/4*π)

dS(s) = 28.662 cm²   ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s)  =  (90/π) / 4*π*r²

DS´(s)  = 90 / 4*π*(L/2*π)²      ⇒   DS(s)  = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) =  4*π*r² dr

Maximum error

DV(s) =  4*π*r² ( 1/  4*π*)   ⇒  DV(s) = (90)² / 8*π²

DV(s)  =  102,692 cm³   max error

Relative error

DV´(v) =  (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) =  0,004

3 0
3 years ago
Read 2 more answers
How do i do this????
PSYCHO15rus [73]
What you do is you combine like terms... so in your instance it is using m.
9m+2= 3m-10
-3m      -3m
3m + 2 =-10
        +10 +10
3m= 12
m= 4
8 0
3 years ago
Can someone double check my work for this problem? I got 38°??
scoundrel [369]
We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
4 0
3 years ago
Which graph represents the solution?​
marusya05 [52]

Answer:

A

Step-by-step explanation:

Given the inequality :

v + 4 > 2 and 8v - 20 < 36

v + 4 > 2

v > 2 - 4

V > - 2

8v - 20 < 36

8v < 36 + 20

8v < 56

v < 56/8

v < 7

Hence,

v > - 2 and v < 7

-2 < v < 7

7 0
2 years ago
The sum of two numbers is 310. The difference between the two numbers is 24. a. Find the smaller number, b. Find the greater num
Julli [10]

Answer:

143 and 167 hope this helps

7 0
2 years ago
Read 2 more answers
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