Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).

 Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).   Hint: Use the Mean-Value Theorem.(Recall that, if P = (x0,x1,...,xn), then... more

Perpendicular lines 2 questions

through (-1,5) and parallel to the line x - 3y -7 = 0Find the equation of the line 2x-3y-1 = 0 and through the midpoint of (1,3) and (-1,9)

09/22/18

Plane traveling in air.

A plane traveling with the wind travels 1300 miles in 5 hours. The return trip is against the wind and takes 13 hours. Find the rate of the plane in still air and the rate of the wind.plane in... more

What would be the image of the given reflection...

What would be the image of the given reflection, r x=2 (1,-4)=( , )? How did you determine it? I need help on this so I can understand these kinds of problems in the future.

evaluate the following in terms of x and y

If log p=x and log q=y, evaluate the following in terms of x and y: #1)  (log p^-4)/(loq q^-5) = ? #2) (log p^5)^−3 = ?

Finding the inverse?

If f(x)=(A+Bx)/(20+4x), with B≠0, compute f^−1(x) and f^−1(−9) in terms of A and B.

09/21/18

Is a normal person likely to be crawling, walking, running, or riding a bike at 10 m/s? Why?

I want to know the answer to this problem and why it is that answer.

Running question abot feet per second...

ive been working on math for a billion years and im tired and i feel like crying. Someone help....   During a 1 mile race, one runner is running at a pace of 14.6 feet per second, and another... more

09/20/18

y=(x+3)^2+1 domain and range

‍help i am in need of help pls im a single dad pls help

09/20/18

A rectangular garden has a width of x and a perimeter of 100 feet. Find x such that the area of the garden is maximized.

I need help understanding this math problem and how to solve it

09/19/18

This equation is in quadratic form. Use factoring to find all zeros of ... (in description)

This equation is in quadratic form. Use factoring to find all zeros of x^4 -10x-11=0 Don't forget +/-. Simplify radicals. Enter the zero separated by commas. Enter exact values, not decimal... more

Arbitrary point

P(x,y) is an arbitrary point on the circle X2+y2=1. Express the distance d from P to the point A=(3,0) as a function of the x cooridinate of P. state the domain and range of the function. 

09/19/18

Why is the following not true

2x^2-3x/x=2x-3

09/19/18

Evaluate the limit

lim x➡️-5  x+5/x^2 +7x +10

given the function f(x)=2|x+6|-4, for what values of x is f(x)=6?

given the function f(x)=2|x+6|-4, for what values of x is f(x)=6? a. x=-1,x=11 b. x=-1,x=-11 c. x=14,x=-26 d. x=26,x=-14

owner owned 352 acres after purchasing land she now owns 505 acres, what is the percentage increase?

what is the increased % of the land owned

09/19/18

Find two numbers whose difference is 5 and the difference of their square is 45

(x)²-(5-x)²=45

the process to solving f(g(2)). How is that different than g(f(2))?

Given f(x) = 3x + 2 and g(x) = -2x2+4Find f(g(2))What would you do in order to solve? Explain in words the process to solving f(g(2)). How is that different than g(f(2))?    I really don't... more

09/18/18

an onion cell is 2 micrometers long. how many are needed to line up end to end across a microscope slide 8 centimeters long?

it’s biology and i’m struggling pls help

09/18/18

A giraffe can rum 32 miles per hour. what is this speed in feet per second? Round your answer to the nearest tenth.

A giraffe can rum 32 miles per hour. what is this speed in feet per second? Round your answer to the nearest tenth.

Use the first five terms of the Taylor’s series of the logarithmic series

(when 𝑎 = 0) to evaluate ln (0.4) approximately. Answer to 4 d.p. What is the exact value of ln (0.4) using the calculator (answer to 4 d.p.)?

f(x)=x^2, but shifted 2 units to the left, nine units up, and reflected in the x-axis

 isdcscsxcscsdcsdcsdcsdcd nb vbdvsjdvsjhcvsdcvhsdvcsdvcsdvcsd

How many revolutions does the wheel make to travel 2 km?

The diameter of a bicycle wheel is 2 ft.

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