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konstantin123 [22]
3 years ago
13

Volume of pyramids and cones day 1

Mathematics
1 answer:
enyata [817]3 years ago
3 0
The volume of a cone is = pi r^2 h/3
and the volume of the pyramid is = V= l w h/3
Hope this helps!
can I get a brainleist 
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T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
Nookie1986 [14]

Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

→e^{x}=0∨ 1+49e^{2x}=0∨98e^{2x}-1=0

e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







5 0
3 years ago
Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak−al is divisible by 10.
EastWind [94]
Assume a is not divisible by 10. (otherwise the problem is trivial). 
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
8 0
3 years ago
Read 2 more answers
Last month, Carla’s neighbors paid her to take care of their cat when they went on vacation.she spent $4 of her earnings on an a
kap26 [50]

Answer:

she got 27 dollars

Step-by-step explanation:

when u add $4 and $14 u get $18.then add the 9 dollars she had left and u will get 27 dollars.

Hope this is a clear description

7 0
2 years ago
A right triangle is shown
natta225 [31]

Answer:

10.38

Step-by-step explanation:

4 0
2 years ago
If 20 tickets to a carnival cost $120.00, make a
aivan3 [116]
120/20=6 so it’s six dollars a ticket
1=$6
3=$18
4=$24
5=$30
6=$36
n=6n
8 0
2 years ago
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