3 years ago

A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x)

Mathematics

1 answer:

labwork [276]3 years ago

3 0

Answer:

f(x) = 5x^2 - 40x + 64

Step-by-step explanation:

f''(x) = 10

f'(x) = 10x + a

f'(4) = 0 = 10*4 + a

a = -40

So f'(x) = 10x - 40

f(x) = 5x^2 - 40x + b

f(2) = 4 = 5*2^2 - 40*2 + b

4 = 20 - 80 + b

b = 64

You might be interested in

In the slope - intercept equation of a line which quantity is given by the coefficient of the term x-term?

Kamila [148]

I believe it is the x slope

5 0

3 years ago

Read 2 more answers

Will give brainiest :)

avanturin [10]

Answer:

x= 116°

y= 127°

Step-by-step explanation:

x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch

y.... Angle in a cyclic quadrilateral add up to 180°

hence 180-53=127

6 0

3 years ago

Find the missing numbers.

irinina [24]

Answers

1. 6
2. 1
3. 4

5 0

3 years ago

Read 2 more answers

If g(x) = 1 - ¾ x find: -5g(4) - 1

cricket20 [7]

Answer:

-5g(4) - 1 is 9

Step-by-step explanation:

$g(x) = 1 - \frac{3}{4} x$

when x is 4:

$g(4) = 1 - \frac{3}{4} \times 4 \\ = 1 - 3 \\ = - 2$

therefore:

$- 5g(4) - 1 = - 5( - 2) - 1 \\ = 10 - 1 \\ = 9$

5 0

3 years ago

Read 2 more answers

A section of concrete pipe 30m long has an inside diameter of 1.2m and an outside diameter of 1.8m. what is the volume of concre

Fudgin [204]

length of pipe= 30m

Inside dia. = 1.2m

Outside dia. = 1.8m

Volume of concrete= (outside dia. - inside dia.)h

V= (pi)
v= [(3.14*0.9*0.9)-(3.14*0.6*0.6)]30

v= (3.3534-1.1304)30
v=(2.233)30 = 66.690m cube

since it's volume the answer 66.690 is in cubic meters.

5 0

4 years ago