Answer:
g(4) = 157
Step-by-step explanation:
g(x) = 8x^2 + 9x - 7
Let x =4
g(4) = 8 * 4^2 +9*4 -7
=8*16 +36 - 7
=128+36-7
=157
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
55
—— x + 35/6
24
this is the final answer
<span><span><span>4x</span>+27</span>=<span><span>10x</span>−33 then,</span></span><span><span><span><span>4x</span>+27</span>−<span>10x</span></span>=<span><span><span>10x</span>−33</span>−<span>10x next,</span></span></span><span><span><span>−<span>6x</span></span>+27</span>=<span>−33</span></span><span><span><span><span>−<span>6x</span></span>+27</span>−27</span>=<span><span>−33</span>−27 next,</span></span><span><span>−<span>6x</span></span>=<span>−60 then,</span></span><span><span><span>−<span>6x</span></span><span>−6</span></span>=<span><span>−60</span><span>−6 finally,</span></span></span><span>x=10</span><span>
</span>
Answer:
y= 1/5x
Step-by-step explanation:
