12/31/15
unknown variable
Let f(x) = { cx + 7 , if x <=5 and x^2 , if x>5. What is the value of c that will make f continuous at x = 5?
12/31/15
Food for thought: Need help with this story problem
Matt bought 2 cantaloupes and 8 pears at the local supermarket for a total of $38.20.
Alberta bought 10 cantaloupes and 8 pears at the same store for a total of $50.20.
If this is the case, how...
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12/31/15
How do I create a graph using linear equations?
Hello my name is Noah,I'm a senior in Algebra function and I have a project over break on creating a graph using at least 20 linear or parabolic functions based on the parent functions of Y=X and...
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12/30/15
Explain how a polynomial can have roots that are not complex conjugates
Question: The roots of (x-1)(x+i) = 0 are obviously 1, -i. These are not complex conjugates. How do you explain this? Note that 'i' represents the imaginary number i.
12/30/15
Prove that 2x^4 + x^2 - x + 1 has no rational zeros.
I understand that the above polynomial has no rational roots, but I'm too sure on how to prove this. Originally I just tested P(2), P(1) and P(1/2), and none of them gave the answer of zero - thus...
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12/30/15
If ax^3 - bx + c = 0 has a double root, find the relationship between a, b and c.
Given that the above equation has a double root (two equal roots), it is implied that there is a relationship between the coefficients of x^3 and x, as well as the constant (a, b and c).
Note...
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12/30/15
IF SUM OF a/band its reciprocal is 2 and a is not equal to 0,b is not equal to 0 then find the value of a cube+b cube/asquareb+ab square
IF THE SUM OF A/B AND ITS RECIPROCAL IS 2 AND A≠0,B≠0 THEN FIND THE VALUE OF A3+B3/A2+B+AB2
Evaluate the indefinite integral. (Remember to use ln(|u|) where appropriate.)
Evaluate the indefinite integral. (Remember to use ln(|u|) where appropriate.)
∫ dx/(tx+k) t≠0
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for...
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Find f. f?''(x) = 20x^3 + 12x^2 + 6, f(0) = 3, f(1) = -1
Find f.
f ''(x) = 20x^3 + 12x^2 + 6, f(0) = 3, f(1) = −1
12/28/15
Find all open intervals on which f(x)=x/x^2+x-2 is decreasing.
What are the answers? I know the answers ,but I don`t know how to attempt the problem to get them. What is the difference between a closed and an open interval for this problem? Thanks.
Find the number c that satisfies the conclusion of Rolle's Theorem.
Find the number c that satisfies the conclusion of Rolle's Theorem.
f(x) = x^1/2 - x/7
[0, 49]
12/27/15
pick a negitive number, then add 3, then divide by the original number. Add the reciprocal of this expression. The result is equal to 29/10. What is the origina
pick a negitive number, then add 3, then divide by the original number. Add the reciprocal of this expression. The result is equal to 29/10. What is the original number
12/27/15
Maths word problems
Rectangular floor measurements: Length= 9mWidth= 4.5'Toji is going to cover the floor with floor boards.Each floor board is 0.1 wide, and 1.5m long.Work out the smallest number of floor boards Toji...
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12/26/15
prove f(x,y)=(e^y-Ye^x)i+(xe^y-e^x)j is conservative field find potential function for this field
answer asap
If F(x) = f(xf(xf(x))), where f(1) = 5, f(5) = 6, f '(1) = 3, f '(5) = 4, and f '(6) = 5, find F '(1).
If F(x) = f(xf(xf(x))), where f(1) = 5, f(5) = 6, f '(1) = 3, f '(5) = 4, and f '(6) = 5, find F '(1).
12/26/15
Suppose that f(5) = 1, f '(5) = 7, g(5) = -5, and g'(5) = 2. What is fg'(5), f/g'(5) and g/f'(5)
Suppose that f(5) = 1, f '(5) = 7, g(5) = −5, and g'(5) = 2.
What is fg'(5), f/g'(5) and g/f'(5)
Find the values of a and b that make f continuous everywhere.
f(x) = (x2 − 4)/(x − 2) if x < 2 ax2 − bx + 3 if 2 ≤ x < 3 2x − a + b if x ≥ 3
Show that the following limit is true:
lim(x->0) x8 sin(1/x) = 0
I said we can't set it up lim(x->0) 0^8 and lim(x->0) sin(1/0) because that leaves us with something undefined
However, since -1 ≤ sin(1/x) ≤ 1, we...
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12/23/15
Linear Function
Write a rule for a linear function y=f (x), given that f (0) =-5 and f (-5) =-6. Write answers using fractions or integers.
The function rule is f(x) =
12/23/15
What is the linear approximation to f(x) = 2cos x, near x = pi/2?
1. What is the linear approximation to f(x) = 2cos x, near x = pi/2?
2. What is the linear approximation to f(x) = 5 ln (1 + x)2 at (0, 0)?
3. What is the derivative of f(x) = ex ln...
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