Question

find all solutions

1) log5(2x+1)+log5(x-1)=2.3512421... logs are base 5

2) (5e^3x^2-4)-1=23

3) 2x^3-5x^2+6x-2=0

Answer #1

Find all the real roots of 6x^5 -x^4 + 2x^3 -3x^2 + 2x -18

Consider the linearly independent set of vectors
B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4,
1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4)
in P4(R), does B form a basis for P4(R) and why?

Differentiate
f(x) = (√ x +1)(x(2/5)+3x)
f(x) =(5x3+1)/(x2+2x+1)
f(x) = -5x(3x-3)4
f(x) = (2x +
(x2+x)4)(1/3)

1. Find the area bounded by f(x)=3x^2-4 and y=0 for 0 < X
< 1.
A. 1 B. 2 C. 6 D. 3
2. The revenue (thousands of dollars) from producing x units of
an item is modeled by R(x)= 5x-0.0005x^2. Find the marginal revenue
at x=1000.
A. $104 B. $4 C. $4.50 D. $10,300
3. Find y' for y=y(x) defined implicitly by 3xy-x^2-4=0
4. Find: lim x->-1 6x+5/5x-6
A. -11 B. 1/11 C. -1/11
D....

find y' for the function
1. (y-2)^7=3x^2+2x-2
2. 3y^3+2x^3=3
3.(4y^2+3)^4+3x^5-5=0
4. 4x^2+3x^2y^2-y^3=3x

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14).
Differentiate and Simplify
2. f(x)=ln(3x) e^(-x^2 ) (Answer with positive exponents
Integrate and Simplify 3. ∫▒(6x^2-5x)/√x dx

Find f(x).
1. f''(x) = (1/3) x^3 −3x^2 + 6x
2. f''(x) = −1 + 6x−12x^2, f(0) = 4, f'(0) = 12
3. f'''(x) = sinx, f(0) = 1, f'(0) = 2, f''(0) = 3

solve for x using the factor theorem and long division. a.
2x^3-3x^2-5x+6=0 b. 8x^3+4x^2-18x-9=0 c.
2x^3+10x^2+13x+5=0 d. -2x^3-12x^2+x+60=0

Find all solutions to each congruence.
(a) 2x − 3 ≡ 2 (mod 7)
(b) 3x + 4 ≡ 1 (mod 5)
(c) 3x ≡ 6 (mod 9)
(d) 14x ≡ 11 (mod 15)

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