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Finger [1]
2 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]2 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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John and Jim painted a
Harman [31]
1/4+5/12=3/12+5/12=8/12=4/6=2/3

they painted 2/3 of the fence
4 0
3 years ago
Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and t
alex41 [277]

This question is not complete because is lacks the options for each question.

Complete question

mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

b. -1.8 mm/year

c. -2.48 years

d. -2.48 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

a. 1.05 mm/year

b. 1.8 mm/year

c. 2.48 years

d. 2.48 mm/year

Answer:

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

c. 2.48 years

Step-by-step explanation:

Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell

From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm

Hence,Total Variation in the water level is calculated as

-1.05 mm/year × 2.48 years

Total variation in the water level = -2.604mm

5 0
3 years ago
Read 2 more answers
Which relation is also a function?
ratelena [41]

Answer:

{ (0, 0), (4, 0), (6, 0) }

Step-by-step explanation:

In order to be a function, ordered pairs must have values of x, or the domain, that are different and do not repeat.

4 0
3 years ago
Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll shirt requires 2/7 of a yard of fabric. How many
igor_vitrenko [27]

Answer:

She can make three shirts and will have 7/56 left.

Step-by-step explanation:

49/56-14/56=35/56 (one shirt) 35/56-14/56=21/56 (two shirts) 21/56-14/56=7/56 (three shirts)

8 0
3 years ago
Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
3 years ago
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