Msdk

In your lab you mix equal volumes of a pH 1.0 solution and a pH 13.0solution. What will the final pH be?A. Near 12.0B. 13.0C. 7.0D. Between 13.0 and 14.0

1. In Python, what is returned when evaluating [n for n in range(10) if n % 2]?

2. In Python, what kind of error is returned by the following code? (e.g. NameError, ValueError, IOError, etc.) def my_func(n1, n2): return n1 + n2 my_func(1, 2, 3)

3. What is returned by datetime(1970, 1, 1).strftime('%Y-%d-%B') in Python?

If the distance of a particle from the origin on a line is given by x(t)=3+(x-2)^4, then the number of times the particle reverses its direction is

Answers: 0 or 1 or 2 or 3 

1. Let g(x) is the reflection of f(x) about the line y=x, and f'(x)= x^12/1+x^2, if g(3)=a, then g'(3) =

a) (1+a^2)/a

b) a^12/(1+a^2)

c) (1+a^2)/a^12

d) a/(1+a^2)

1. The coefficient of x^9 in the polynomial (x+1)(x+2)..(x+10)+(x+2)(x+3)..(x+11)+...+(x+11)(x+12)..(x+20) is

a)1551

b)1155

c) 5115

2. Let 1,ω,ω^2 be the cubic roots of unity, then the value of

[(5-3ω/-3+5ω^2)-(3+5ω^2/3ω+5)]^6

3. At some point (a, f(a)) on the graph of f(x) = -1 + 2x - x^2 the tangent to this graph goes through the origin. Which point is it?

a) (0,-1)

b) (1,0), (2,-1)

c) (1,0), (-1,-4)

d) (-1,-4), (2,-1)

Let 1,ω,ω^2 be the cubic roots of unity, then the value of 

[(5-3ω/-3+5ω^2)-(3+5ω^2/3ω+5)]^6

If ω is imaginary cube root of unity, then (a+bω+cω^2)/(c+aω+bω^2)+(c+aω+bω^2)/(a+bω+cω^2)+(b+cω+aω^2)/(b+cω^4+aω^5) is equal to

1. 1

2. -1

3. 0

4. ω

1. If y+x = pi/2, what is the smallest value of tan(x) +cot(y)? 

a) 0

b) 1

c) pi/2

d) 2

2. f(x) = ax^3 + bx^2 + cx +d. Where a, b, c, and d belongs to R, a does not equal 0 is increasing on R if

a) a > 0

b) ab > 0c) b^2-3ac < 0, a <0

d) b^2-3ac < 0, a > 03. The second derivative of f(x)  is everywhere positive. f has a minimum value at x = a. The tangent line to f at x = b is given by the equation y = mx + c.  Which of the following statements is true?a) f(x) >= mx + c b) f(x) > mx + c c) f(x) <= mx + c d) f(x) < mx + c 

4. At some point (a, f(a)) on the graph of f(x) = -1 + 2x - x^2 the tangent to this graph goes through the origin. Which point is it?a) (0,-1)

b) (1,0), (2,-1)

c) (1,0), (-1,-4)

d) (-1,-4), (2,-1)