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Citrus2011 [14]
3 years ago
12

If f(x)=2x squared + 1 and g(x)=x squared-7 find (f-g)(x)

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

x^2+8

Step-by-step explanation:

f(x)=2x^2+1 \\\\g(x)=x^2-7 \\\\(f-g)(x)= (2x^2+1)-(x^2-7)=x^2+8

Hope this helps!

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(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or
olasank [31]

Answer:

(Missing part of the question is attached)

L(x)=2x+3

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

f(1)=5

where the graph of its derivative is shown in the attachment

<h3>(a)</h3>

If the function f\\ is differentiable at point x=1 , the tangent line to the graph of f at 1 is given by the equation:

y=f(1) +f'(1)(x-1)

So we call the linear function:

L(x)=f(1) +f'(1)(x-1)

We know the f(1)=5 as it is given in the question, and f'(1)=2 from the graph attached. Substitute in the equation of L(x).

L(x)=5+2(x-1)\\L(x)=5+2x-2\\L(x)=2x+3\\

<h3>(b)</h3>

At x=1,  f'(x) is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve f. Thus, The estimates are too large.

4 0
3 years ago
HELP PLS I NEED THIS &lt;33
olganol [36]

Answer:

(x - 2)^2 + (y - 2)^2 = 3

Step-by-step explanation:

The centre point of the circle is the value for x and y

And the radius is the distance from the centre to the circumference.

5 0
3 years ago
32 + y - 2y?<br> Re write the equation with the variable with the highest exponent first
SVEN [57.7K]

Answer:

-2y^2 + y +32

Step-by-step explanation:

The variable with the highest exponent is y^2

8 0
3 years ago
What is the slope of the line passing through (-3, 5) and (5,-3)?
Delvig [45]
-1 is the answer to your question
8 0
3 years ago
Read 2 more answers
Student incorrectly claims that 2/3÷5/9 = 5/6 find the correct quotient what was the students error
olga_2 [115]

Answer:

6/5

Step-by-step explanation:

2/3 ÷ 5/9

2/3 × 9/5 ( while changing division to multiple, numerator and denominator changes

2 × 3/5 ( 9/3 =3

Ans =6/5

6 0
2 years ago
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