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maxonik [38]
3 years ago
7

Need help please thanks

Mathematics
1 answer:
eduard3 years ago
3 0
Atoms best in life esfff
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The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use thi
Katyanochek1 [597]

Answer:

K(x) =  \frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = -5x^2

first Determine the value of F'(x)

F'(x) = \frac{d(-5x^2)}{dy}

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = \frac{d(-10x)}{dy}

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

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

 K(x) =  \frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }    ( curvature function)

       

6 0
4 years ago
Please solve with explanation.
Vesna [10]

Answer:

Area = 160 cm²

Perimeter = 55.31 cm

Step-by-step explanation:

Applying,

Area of the figure = area of the rectangle- area of the triangle

A = lw+bh/2............... Equation 1

From the question,

Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm

Substitute these values into equation 1

A = (16×12)-(8×8/2)

A = 192-32

A = 160 cm²

Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/

Applying pythagoras theorem to get /FG/

FG² = GE²+EF²

FG² = 8²+8²

FG² = 64+64

FG² = 128

FG = √128

FG = 11.31 cm

Therefore,

P = 16+12+4+8+11.31+4

P = 55.31 cm

3 0
4 years ago
To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. Th
snow_tiger [21]

Answer:

Step-by-step explanation:

A=P(1+rt)

A=200(1+.02(3))

A=200(1.06)

A=$212

5 0
3 years ago
What type of function is represented by the table of values below?
sasho [114]
The answer is A. Exponential
3 0
3 years ago
Show whether the point (7,-2) satisfies the equation
Bess [88]
3(7) + 4(-2) = 29
21 + -8 = 13, no this equation doesn’t satisfies it.
3 0
2 years ago
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