3 years ago

Please help me simplify these given exponential notations.I need it asap

Mathematics

1 answer:

omeli [17]3 years ago

7 0

All five answers are in the photo

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4х = 32<br> А. x= 9<br> В. x= 8<br> с. x= 28<br> D. х = 128

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Answer:

Step-by-step explanation:

Step 1: Divide both sides by 4.

4x/4 = 32/4

4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8

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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

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Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm.

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38cm3

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Please help me simplify these given exponential notations.I need it asap ​

Please help me simplify these given exponential notations.I need it asap