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STALIN [3.7K]
3 years ago
8

Find the equation of the tangent line at the point (0,1) of the graph of the function f(x) = x^3 - 2x + 1 ?​

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

9514 1404 393

Answer:

  y = -2x +1

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 3x^2 -2

so the slope at x=0 is f'(0) = -2. In slope-intercept form, the equation of the tangent line is ...

  y = -2x +1

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The sum of two consecutive odd integers equals 12. What are they?
svetoff [14.1K]

Answer:

x = 5

The two consecutive odd integers are: 5, 7

And...checking

sum = 12

Step-by-step explanation:

8 0
2 years ago
Find the coordinates of the points of intersection of the graphs with coordinate axes: y= 2/3x−5
Vesnalui [34]

x intercept: (7.5,0)

y intercept: (0,-5)

5 0
3 years ago
Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

4 0
3 years ago
What is the area of the sail?
marishachu [46]
Area = 30 meters ^2

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So 6 times 10 is 60, and 60 divided by 2 is 30.
3 0
2 years ago
Read 2 more answers
What does X equal? geometry
Otrada [13]

Answer:

x= 77

Step-by-step explanation:

The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.

180-122= 58 degrees

Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.

Let's use this info to find the degree at the top.

58+58= 116

There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.

180-116= 64 degrees

And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.

90-64= 26 degrees

And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.

180-26= 154 degrees.

And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.

154/2= 77 degrees.

Your answer is 77 degrees.

3 0
2 years ago
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