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4 years ago

Inverse functions ?????

Mathematics

1 answer:

Vladimir79 [104]4 years ago

7 0

Answer:

In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.

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Which counterexample shows that the conjecture All mammals are monkeys is false

erica [24]

Answer:

A mouse is a mammal, but it us not a monkey.

Step-by-step explanation:

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4 years ago

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Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x 2 + y 2 = 16

Usimov [2.4K]

this is a circle with the centre at the origin and radius 4.

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3 years ago

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 36 −

azamat

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V = $\pi\int\limits^a_b {[f(x)]^{2}} \, dx$

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= $\frac{5}{36}-x^{2}$ and solid delimited by x = 2 and x = 4:

V = $\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx$

V = $\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx$

V = $\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )$

V = $\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )$

V = 193.25π

The volume of a solid formed by y = $\frac{5}{36} - x^{2}$ and delimited by x = 2 and x = 4

is 193.25π cubic units.

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3 years ago

The graph of a polynomial of degree 7 has five x-intercepts, all with multiplicity 1. Describe the nature and number of all its

Marysya12 [62]

Do you know that multiplicity means the number of times any factor appears in the factored result? Just checking. For example The graph of y = x^2 - 2x + 1 has a multiplicity of 2. they are y = (x - 1) * ( x - 1)

y = x^2 - 3x - 4 has 2 factors.
y = (x - 4)(x + 1) each of the factors has a multiplicity of 1.

So the answer to your question is there are 5 real zeros and 2 complex zeros.

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4 years ago

What is the sum of the polynomials? (6x+7+x^2)+(2x^2-3)

yulyashka [42]

Answer:

${ \tt{(6x + 7 + {x}^{2})(2 {x}^{2} - 3) }} \\ = { \tt{(2 + 1) {x}^{2} + 6x + (7 - 3) }} \\ = { \tt{3 {x}^{2} + 6x + 4 }}$

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3 years ago