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4 years ago

Below is the entire graph of function f graph f^-1, the inverse of f

Mathematics

1 answer:

torisob [31]4 years ago

5 0

I think:- every point that expresses the graph of the function f must be subtracted 1

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PLZ helPZ me Wendell plans to paint the doghouse after it’s built. He wants to know what the surface area of the outside of the

Basile [38]

Answer: sometimes, there are a lot of rectangles that are composite shapes so that could work. also, most composite shapes have two dimensions.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^

Ber [7]

I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

Recall that

sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

(1 + exp(2at)) dx/dt = a exp(at)

dx/dt = a exp(at) / (1 + exp(2at))

If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

exp(y) dy/dt = 2a exp(2at)

(1 + exp(2at)) dy/dt = 2a exp(2at)

dy/dt = 2a exp(2at) / (1 + exp(2at))

By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

Then the first derivative is

dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

dy/dx = (2a exp(2at)) / (a exp(at))

dy/dx = 2 exp(at)

Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write

dy/dx = f(t)

By the chain rule, the derivative is

d²y/dx² = df/dx

d²y/dx² = df/dt • dt/dx

d²y/dx² = (df/dt) / (dx/dt)

d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))

d²y/dx² = 2 (1 + exp(2at))

4 0

2 years ago

eadorno betty sets up a lemonade stand and charges $1 per glass. it cost her $50to set up the stand. which function gives the pr

nydimaria [60]

If you would like to find the function that gives the profit Betty makes by selling glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

p = g * $1 - $50

The correct result would be <span>p = g * $1 - $50.</span>

3 0

3 years ago

What is 5x+4y=-14, 3x+6y=6 in matrix

yarga [219]

Answer:

$\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right]$ is the required matrix form.

Step-by-step explanation:

Here, the given system of equation is:

5 x + 4 y = -14,

3 x + 6 y = 6

In a system of equation, the matrix for is given as

AX = b

Here, A = Co-efficient Matrix, X = Variable Matrix and B = Constant Matrix

Considering the given system:

Co-efficient Matrix(A) = $\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]$

Variable Matrix(X) = $\left[\begin{array}{ccc}x\\y\end{array}\right]$

Constant Matrix(b) = $\left[\begin{array}{ccc}-14\\6\end{array}\right]$

Hence, the combined matrix form of AX = b is

$\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right]$

4 0

3 years ago

How can you tell from The slope of a linear equation if the function is increasing or decreasing

nevsk [136]

if the equation has a negative slope that will indicate that the slope is negative

ex. y=-<u>5x</u>+6

6 0

3 years ago