Answers edited by Alan N.

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• How do you simplify `(p^(3/2))^-2`?
  
• Find all x-value(s) where the first derivative of g(x)= (e^x )*x^2 has a horizontal tangent line?
  
• Jupiter is the largest planet in the solar system, with a diameter of approximately `9 x 10^4` miles. Mercury is the smallest planet in the solar system, with a diameter of approximately `3 x 10^3` miles. How many times larger is Jupiter than Mercury?
  
• Let `f(x)=x^2-4` and `g(x)=sqrtx+3`, how do you find f(g(x))?
  
• How do you graph `a_n=2(3)^(n-1)`?
  
• What numbers are between #4.03 and 4 1/5%?
  
• How do you find local maximum value of f using the first and second derivative tests: `f(x) = x + sqrt(9 − x)`?
  
• How many 3 digit counting numbers less than 800 have digits that are all even?
  
• How do you evaluate `sec^-1(sec(-(pi)/10))`?
  
• How do you graph, find the zeros, intercepts, domain and range of `f(x)=abs(4x)`?
  
• How do you solve `18x^{2} = 24x`?
  
• If `a=6` and `b=11`, what is `8(a^2-3b)-:8+3`?
  
• A cone has base area `363` `cm^2`. A parallel slice `5` `cm` from the vertex has area `25` `cm^2`. What is the height of the cone?
  
• How does 1.89 compared to 16/9 ?
  
• What is 0.0346 as a fraction?
  
• `f(x) = 2x^4-3x^3-5x^2+9x-3` Given that `sqrt(3)` forms two of the roots, find all the roots of the polynomial?
  
• How do you calculate `Log_2 56 - log_4 49`?
  
• A triangle has sides with lengths: 1, 5, and 8. How do you find the area of the triangle using Heron's formula?
  
• What is the slope of `f(x)=-xe^x+2x` at `x=1`?
  
• How do you differentiate `g(x)=xsinx` using the product rule?
  
• Solve: `1/sqrt(2)(sin Theta + cos Theta) = cos Theta` for `Theta in (0, pi/2)` ?
  
• How do you determine if `y=30^-x` is an exponential growth or decay?
  
• How do you find the value of c and x that makes the equation `c^(x+7)/c^(x-4)=c^11` true?
  
• How do you write the prime factorization of `28x^2y`?
  
• How do you solve `x/(x-3)>0`?
  
• How do you plot `4i` on the complex plane?
  
• Grandfather is `15` time the age of his grandson today, in `10` years the grandson will be `3/17` the age of the grandfather. How old are the grandfather and grandson?
  
• Over what domain is `f(x)=sin(x)` continuous ?
  
• Alicia has 7 paintings and wishes to display 4 of them on her wall. In how many ways can she display them?
  
• What is the LCM of 2 and 11?
  
• How do you find all the factors of 77?
  
• How do you graph `y=lnx-1`?
  
• We have three cars with four people in each car. If the car owner must occupy their own car, how many arrangements of the people are possible?
  
• How do you graph `f(x)=1/3x^3-6x` using the information given by the first derivative?
  
• How do you determine the limit of `3/(x+1)` as x approaches -1?
  
• Solve (sic) for `z`: `y^z/x^4 = y^3/x^z` ?
  
• How do you graph `y=log_4(x+1)`?
  
• What are the `y` and `x` intercept(s) of `y=2x^2-4`?
  
• What is `sqrt(12+sqrt(12+sqrt(12+sqrt(12+sqrt(12....)))))`?
  
• How do you find exact value of `sin (pi/ 3)`?
  
• Verify: `-(cotA+cotB)/(cotA-cotB) = sin(A+B)/sin(A-B)` ?
  
• How do you verify the identity `sqrt((sinthetatantheta)/sectheta)=abs(sintheta)`?
  
• How do you solve `(x-7)(x+2)=0` using the zero product property?
  
• How do you write the equation for the graph obtained when the parent graph is `y=x^3` and it is translated 4 unites left and 7 units down?
  
• If `F(x) = x^(2/3)` What is `f'(x)` ?
  
• What is `d/(d theta) (sec^2 4theta)` ?
  
• How do you find the Vertical, Horizontal, and Oblique Asymptote given `(e^x)/(1+e^x)`?
  
• How do you solve `3sinx=sinx-1`?
  
• How do you divide `1\frac { 2} { 3} \div \frac { 2} { 3}`?
  
• What is the slope of the tangent line of `x^2e^(xy-x-y)= C`, where C is an arbitrary constant, at `(0,0)`?
  
• (i) What number exceeds its fourth root by `12`? (ii) What number exceeds its fourth root by `16`?
  
• Convert `13/25` to a decimal ?
  
• What is the domain, range, y intercepts and absolute maximum of `f(x)=8+2x-x^2`?
  
• How do you use the important points to sketch the graph of `f(x)=3-x^2-2x`?
  
• What is the sum of the first 7 terms of the sequence `10xx(-2)^(i-1)` ?
  
• What is the derivative of `(3^(2t))/t`?
  
• John can finish a job in 8 hours whereas Sally only needs 5 finish the job. How quickly can they finish the job if they are working together?
  
• How do you graph `f(x)=(x^2-4)^2` using the information given by the first derivative?
  
• How do you write an exponential function to model each situation & solve given whole milk consumption in the U.S. has decreased by 4% annually since 1985. Each person consumed 13.6 gallons of whole milk in 1985. Predict whole milk consumption in 2000?
  
• What is `45^{-\frac{3}{2}}\times 45^{2}`?
  
• How do you graph `y=2ln(x+1)`?
  
• How do you find the zeros of the polynomial function with equation `f(x) = -3(x+1/2)(x-4)^3`?
  
• What is the domain and range of `f(x) = ln(x): x>0`?
  
• How do you graph the line `y = 1/2x + 2`?
  
• The set of positive real values of x for which the function f(x) = x/ln x is a decreasing function is ?
  
• Given `f(x)+1`, how do you describe the transformation?
  
• How do you find the domain of `ln(x^2-9)`?
  
• What would be the expansion of sin x in powers of x?
  
• How do you rationalize the denominator and simplify `sqrt49/sqrt500`?
  
• How do you find the points where the graph of the function `y = (x^3) + x` has horizontal tangents and what is the equation?
  
• How do you solve `5=sec^2x+3` for `0<=x<=2pi`?
  
• The base angles of an isosceles triangle are congruent. If the measure of each of the base angles is twice the measure of the third angle, how do you find the measure of all three angles?
  
• How do you graph `f(x)=ln (x-1)+2`?
  
• How do you find `(dy)/(dx)` given `lny=xe^x`?
  
• What does it mean the when determinant of the coefficient matrix of a system of linear equations equals zero?
  
• What are local extrema?
  
• How do you evaluate the definite integral `int (1/x) dx` from `[1,2]`?
  
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