4.1 rounded to the nearest ines

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

X= 2 please solve before 5 pm

MariettaO [177]

Answer:

6. y=20

7. y=3

8. y=3

Step-by-step explanation:

7 0

3 years ago

The minute hand of a clock is 1010 inches long and moves from 12 to 33 o'clock. How far does the tip of the minute hand move?

kenny6666 [7]

Answer: 2929 π inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

= 2020 π inch for an hour

Now it comes from 12 to 33 o'clock= 1.45 hour so,

Tip of minute hand moves= 2020 π inch x 1.45

Tip of minute hand moves= 2929 π inch

5 0

3 years ago

Pls answer this!! someone!!!

oksano4ka [1.4K]

Answer:

A = bh = (17 km)(11 km) = 187 km^2

3 0

3 years ago

Which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Ju

SVEN [57.7K]

The best answer is 1.435 ·103 because while they both are really small for a rail road track that one is bigger. the final answer for that is 147.805mm.

5 0

3 years ago

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4.1 rounded to the nearest ines​

4.1 rounded to the nearest ines