The lateral area of a cube is 36 Square inches. How long is each edge?

Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the

Artist 52 [7]

Answer:

(a)

$f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4$

(b)

$f(a+h)-f(a)=2ah+h^{2} -3h$

(c)

$\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11$

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

$f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4$

(b)

Evaluate (a) in the function:

$f(a)=a^{2} -3a-4$

Using the previous answers lets calculate f(a+h)-f(a)

$f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h$

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

$\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11$

7 0

3 years ago

Which expression is equivalent to

Naily [24]

Answer: 9 a^8 b^12 c^16

Step-by-step explanation:

4√81/16a^8b^12c^16

= 4 x 9/4a^8b^12c^16

= 9a^8b^12c^16

5 0

2 years ago

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What should be added to 3 to make the sum 0?

Phoenix [80]

Answer:

-3

Step-by-step explanation:

3+x=0

subtract 3 from 3, 0

subtract 3 from 0, -3

5 0

3 years ago

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Find the equation of the line.<br> Use exact numbers.<br> y =

Lisa [10]

Y=2/3x+4
Y intercept is 4
Points hit 2 up 3 over

7 0

2 years ago

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For the function f(x)=x^2-5x+6, where is the y-intercept?

Jlenok [28]

I believe the answer is 6

5 0

3 years ago