Answers edited by Alan N.

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• How do you graph #f(x)=1/3x^3-6x# using the information given by the first derivative?
  
• How do you graph # y=2ln(x+1)#?
  
• How do you graph #f(x)=(x^2-4)^2# using the information given by the first derivative?
  
• How many 3 digit counting numbers less than 800 have digits that are all even?
  
• How do you verify the identity #sqrt((sinthetatantheta)/sectheta)=abs(sintheta)#?
  
• How do you evaluate the definite integral #int (1/x) dx# from #[1,2]#?
  
• How do you simplify #(p^(3/2))^-2#?
  
• 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, range, y intercepts and absolute maximum of #f(x)=8+2x-x^2#?
  
• How do you solve #18x^{2} = 24x#?
  
• 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 do you write the prime factorization of #28x^2y#?
  
• 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 determine if #y=30^-x# is an exponential growth or decay?
  
• How do you use the important points to sketch the graph of #f(x)=3-x^2-2x#?
  
• How do you graph #y=lnx-1#?
  
• What is the domain and range of #f(x) = ln(x): x>0#?
  
• How do you find #(dy)/(dx)# given #lny=xe^x#?
  
• Let #f(x)=x^2-4# and #g(x)=sqrtx+3#, how do you find f(g(x))?
  
• How do you plot #4i# on the complex plane?
  
• How do you graph #f(x)=ln (x-1)+2#?
  
• What is #sqrt(12+sqrt(12+sqrt(12+sqrt(12+sqrt(12....)))))#?
  
• If #F(x) = x^(2/3)# What is #f'(x)# ?
  
• Given #f(x)+1 #, how do you describe the transformation?
  
• How do you find local maximum value of f using the first and second derivative tests: #f(x) = x + sqrt(9 − x) #?
  
• What is the sum of the first 7 terms of the sequence #10xx(-2)^(i-1)# ?
  
• 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?
  
• What are the #y# and #x# intercept(s) of #y=2x^2-4#?
  
• How do you rationalize the denominator and simplify #sqrt49/sqrt500#?
  
• Convert #13/25# to a decimal ?
  
• If #a=6# and #b=11#, what is #8(a^2-3b)-:8+3#?
  
• How do you solve #5=sec^2x+3# for #0<=x<=2pi#?
  
• Alicia has 7 paintings and wishes to display 4 of them on her wall. In how many ways can she display them?
  
• Solve: #1/sqrt(2)(sin Theta + cos Theta) = cos Theta# for #Theta in (0, pi/2)# ?
  
• 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 find the domain of #ln(x^2-9)#?
  
• #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 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?
  
• (i) What number exceeds its fourth root by #12#? (ii) What number exceeds its fourth root by #16#?
  
• How do you differentiate #g(x)=xsinx# using the product rule?
  
• What is the slope of the tangent line of #x^2e^(xy-x-y)= C #, where C is an arbitrary constant, at #(0,0)#?
  
• How do you solve #x/(x-3)>0#?
  
• What numbers are between #4.03 and 4 1/5%?
  
• What is 0.0346 as a fraction?
  
• What is #45^{-\frac{3}{2}}\times 45^{2}#?
  
• Solve (sic) for #z#: #y^z/x^4 = y^3/x^z# ?
  
• How does 1.89 compared to 16/9 ?
  
• How do you graph, find the zeros, intercepts, domain and range of #f(x)=abs(4x)#?
  
• 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 find the Vertical, Horizontal, and Oblique Asymptote given #(e^x)/(1+e^x)#?
  
• What is the derivative of #(3^(2t))/t#?
  
• 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?
  
• The set of positive real values of x for which the function f(x) = x/ln x is a decreasing function is ?
  
• What are local extrema?
  
• What is the LCM of 2 and 11?
  
• Verify: #-(cotA+cotB)/(cotA-cotB) = sin(A+B)/sin(A-B)# ?
  
• How do you solve #3sinx=sinx-1#?
  
• 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 solve #(x-7)(x+2)=0# using the zero product property?
  
• How do you determine the limit of #3/(x+1) # as x approaches -1?
  
• What is #d/(d theta) (sec^2 4theta)# ?
  
• How do you find all the factors of 77?
  
• 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?
  
• 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?
  
• What does it mean the when determinant of the coefficient matrix of a system of linear equations equals zero?
  
• Find all x-value(s) where the first derivative of g(x)= (e^x )*x^2 has a horizontal tangent line?
  
• How do you graph #y=log_4(x+1)#?
  
• How do you graph #a_n=2(3)^(n-1)#?
  
• How do you graph the line #y = 1/2x + 2#?
  
• What would be the expansion of sin x in powers of x?
  
• A triangle has sides with lengths: 1, 5, and 8. How do you find the area of the triangle using Heron's formula?
  
• How do you calculate #Log_2 56 - log_4 49#?
  
• How do you evaluate #sec^-1(sec(-(pi)/10))#?
  
• Over what domain is #f(x)=sin(x)# continuous ?
  
• How do you find exact value of #sin (pi/ 3)#?
  
• What is the slope of #f(x)=-xe^x+2x# at #x=1#?
  
• How do you divide #1\frac { 2} { 3} \div \frac { 2} { 3} #?
  
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