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loris [4]
3 years ago
7

Solve for y Please help I need a tip

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

y = 4

Step-by-step explanation:

Step 1: Write equation

9/4y - 12 = 1/4y - 4

Step 2: Solve for <em>y</em>

  1. Subtract 1/4y on both sides: 8/4y - 12 = -4
  2. Simplify: 2y - 12 = -4
  3. Add 12 to both sides: 2y = 8
  4. Divide both sides by 2: y = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9/4(4) - 12 = 1/4(4) - 4

9 - 12 = 1 - 4

-3 = -3

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Use a graphing utility to graph the function and visually estimate the limits.
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The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = 4x cos x

First to calculate the limit value of the given function at x=0.

\lim_{x \to 0} f(x) = \lim_{x \to 0} 4x cosx

                   = 4×0×1                              (∵ cos0 = 1)

\lim_{x \to 0} f(x) = 0

Similarly,

\lim_{x \to \frac{\pi }{3} } f(x) = \lim_{x \to \frac{\pi }{3} } 4x cosx

                     =  4×\frac{\pi }{3}×cos\frac{\pi }{3}

                     =  4×\frac{\pi }{3}×\frac{1}{2}                          (∵cos60° = \frac{1}{2})

\lim_{x \to \frac{\pi }{3} } f(x)  = 1.153

Hence, The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

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