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4 years ago

What is the mean of 15 and 75

Mathematics

1 answer:

inn [45]4 years ago

5 0

Answer:

Step-by-step explanation:

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Please help!! If f (x) = e^x sin x, then f’ (x) =

shusha [124]

Answer:

$f'(x) = {e}^{x}( \sin x + \cos x )$

Step-by-step explanation:

$f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x )$

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3 years ago

Mhanifa can you please help? I will mark brainliest!

Rzqust [24]

Answer:

Given function

h(x) = 2x - 1

#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

x = 2y - 1
2y = x + 1
y = 1/2x + 1/2

The inverse is:

h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function will contain same numbers with swapped domain and range.

Initial look is like this:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
h⁻¹(x) | -1 | | 0 | | 1 | | 2

The rest of the table is filled in by finding the values:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2

7 0

3 years ago

Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

4 years ago

Which show the factored form of x^2-12x-45

slavikrds [6]

Answer:

$x^{2} -12x-45\\=(x-15)(x+3)$

Step-by-step explanation:

6 0

4 years ago

Rewrite the following polynomial so the exponents decrease from left to right 22x4 – 3x8 + 12Rewrite the following polynomial so

Cloud [144]

$-3x^8+22x^4+12$

5 0

4 years ago