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Finger [1]
3 years ago
12

what is f" (pi/4) where f (x) = sin x + cos x ?? Show all your work. Write your final answer in simplest radical form.

Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer:

-√2

Step-by-step explanation:

f(x) = sinx + cosx

f'(x) = cosx - sinx

f''(x) = -sinx - cosx

f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2

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1. Suppose that cos B = 0.68. What is the value of sin(a)? Explain.
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The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.

<h3>Trigonometry</h3>

First, when we have two angles, whose sum equals, 90°.

In essence, Since the algebraic sum of angles A and B is 90°;

  • A + B = 90.

  • B = 90 -A.

By trigonometric identity;

  • Sin A = Cos (90 - A)

Where; (90 - A) = B.

Therefore; Sin A = Cos B = 0.68.

Read more on trigonometry;

brainly.com/question/20519838

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2 years ago
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Mashcka [7]

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Step-by-step explanation:

6 0
3 years ago
Write an equation of the line that is parallel to 5x + 20y = 10 and passes through the point (8, 3).
Serga [27]
20y=-5x+10
y=-1/4x+1/2
y-3=-1/4(x-8)
y-3=-1/4x+2
d. y = -1/4x + 5
6 0
3 years ago
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8 0
3 years ago
-5, 20, -80, 320, ... is a geometric sequence a. Find the common ratio, b. Write its recursive rule c. Write its explicit rule.W
mario62 [17]

a.

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

\text{ratio}=\frac{20}{-5}=-4

b.

The recursive rule can be found with the formula:

a_n=a_{n-1}\cdot q

Where an is the nth term and q is the ratio. So we have:

a_n=a_{n-1}\cdot(-4)

c.

The explicit rule can be written as:

a_n=a_1\cdot q^{n-1}

Where an is the nth term, a1 is the first term and q is the ratio. So:

a_n=-5\cdot(-4)^{n-1}

5 0
1 year ago
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