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2 years ago

13

Estimate the average rate of change from x=2 to x=5

1 answer:

Sliva [168]2 years ago

7 0

Answer:

5x3x2y

Step-by-step explanation:

You might be interested in

Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².

Liula [17]

Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

$f(x) = x^4$

$g(x)= (1 -2x^5)^6$

$h(x)= (5 - 8x^3)^2$

so that

$y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2$

Recall that the derivative of the product of functions is

$y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)$

so taking the derivatives of the individual functions, we get

$f'(x) = 4x^3$

$g'(x) = 6(1 - 2x^5)^5(-10x^4)$

$h'(x) = 2(5 - 8x^3)(-24x^2)$

So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

or

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)$

3 0

2 years ago

a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas

My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = $\frac{y}{20}$ ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = $\frac{x}{20}$ ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

$z^{2}$ = $y^{2}$ + $(40+x)^{2}$

= $14.14^{2}$ + $(40+14.14)^{2}$

= 3131.08

$z^{2}$ = $\sqrt{3131.08}$

z = 55.96 miles

6 0

3 years ago

If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.

shutvik [7]

Answer:

900

Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

1000/100 = 10

3890/389 = 10

However, the requirement cannot be met when the 1s digit is other than zero.

__

For some 3-digit number N and some 1s digit x, the 4-digit number will be

4-digit number: 10N+x

Dividing this by N will give ...

(10N+x)/N = 10 remainder x

N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

6 0

3 years ago

What is the inverse of the function ?

CaHeK987 [17]

The inverse of the function is h(x)=4x+48

4 0

2 years ago

Read 2 more answers

Can someone help me with this problem please h + 11/12 = 120 1/2

ira [324]

Your answer would be h=1435/12

8 0

3 years ago