Answers created by Jacob F.

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• For what values of x is #f(x)= 7x^3 + 2 x^2 + 7x -2 # concave or convex?
  
• What is a solution to the differential equation #dy/dx=y#?
  
• How can you recognize alkenes?
  
• Which substances are always produced in an acid-base neutralization reaction?
  
• What is the compound 2-propanol classified as?
  
• What is the derivative of #y= sin(tan 2x)#?
  
• How do you integrate #int lnx dx # using integration by parts?
  
• How do you find the sum of the infinite geometric series -2+1-1/2+...?
  
• Question #dce15
  
• How do you factor #y= x^2 - 7x + 10# ?
  
• What are the global and local extrema of #f(x)=x^3-x^2-x+1# ?
  
• How do you differentiate # f(x)= (7e^x+x)^2 # using the chain rule.?
  
• Question #f8bc2
  
• How do you integrate #int (sinx) / ((cos^2x + cosx -2)) dx# using partial fractions?
  
• How much work does it take to raise a #78 kg # weight #5 m #?
  
• How do you solve #log_3(x+4)-log_3x=2#?
  
• How much work would it take to push a # 25 kg # weight up a # 15 m # plane that is at an incline of # pi / 6 #?
  
• How do you factor #y= x^4 + 5x^2 - 6# ?
  
• How do you find the slant asymptote of #y=(x^3-4x^2+2x-5)/(x^2+2)#?
  
• How can magnetic force be reduced?
  
• A cord is tied to a pail of water and the pail is swung in a vertical circle of 1.2 m. What is the minimum velocity the pail must have at the top of the circle if no water spills?
  
• A car has a mass of 710 kg. It starts from rest and travels 40.0 m in 3.0s. The car is uniformly accelerated during the entire time. How big is the net force acting on the car?
  
• What is the slope of any line perpendicular to the line passing through #(-3,4)# and #(-2,3)#?
  
• What combination of units is equivalent to the ampere?
  
• How do you write the first 4 nonzero terms AND the general term of the taylor series for #e^((-x)^2)# centered at x=0?
  
• How do you find the integral #ln x / x#?
  
• Using the disk method, how do you find the volume of the solid generated by revolving about the x-axis the area bounded by the curves #x=0#, #y=0# and #y=-2x+2#?
  
• How do you solve #log(x + 10) - log(x) = 2log(5)#?
  
• How do you solve #3^(x+7)=4^x#?
  
• How do you solve #2x^2-9x+4=(2x-1)^2#?
  
• How do you find all numbers c that satisfy the conclusion of the mean value theorem for #f(x) = sqrt(1-x^2)# on the interval [0-1]?
  
• How do you find the volume of the region enclosed by the curves #y=2x#, #y=x^2# rotated about the x-axis?
  
• How can you simplify #1/(3sqrt(1-x^2/9))#?
  
• How do you find a tangent line parallel to secant line?
  
• How do you find the parametric equations of a circle?
  
• What scientist invented calculus?
  
• How do you use Newton's Method to approximate the value of cube root?
  
• How do you Find the derivative of #y=arctan(x^2)#?
  
• What is the derivative of #f(x)=(log_6(x))^2# ?
  
• How do you find the derivative of #y=x^tan(x)# ?
  
• Question #5eee2
  
• How do I find the integral #int(x*ln(x))dx# ?
  
• How do you find the limit #lim_(x->-4)((1/4)+(1/x))/(4+x)# ?
  
• How do you find the limit #lim_(x->0)sin(x)/x# ?
  
• Find the limit as x approaches infinity of #y=arccos((1+x^2)/(1+2x^2))#?
  
• What is the differential equation that models exponential growth and decay?
  
• How do you evaluate the integral #inte^(4x) dx#?
  
• How do I find the partial fraction decomposition of #(x^4+1)/(x^5+4x^3)# ?
  
• How do you find the derivative of #y=cos(x^2)# ?
  
• How do you use the product rule to find the derivative of #y=sqrt(x)*cos(x)# ?
  
• How do you use Integration by Substitution to find #intdx/(1-6x)^4dx#?
  
• What is the derivative of #y=sec^3(x)#?
  
• How do I us the Limit definition of derivative on #f(x)=e^x#?
  
• What is the derivative of #f(x)=log_4(e^x+3)# ?
  
• What is the derivative of #f(x)=x*log_5(x)# ?
  
• What is the derivative of #f(x)=csc^-1(x)# ?
  
• How do you find the limit #lim_(x->2)(x^2+x-6)/(x-2)# ?
  
• How do you find the derivative of #y=e^x cos(x)# ?
  
• How do I evaluate the indefinite integral #intcos^5(x)dx# ?
  
• How do you find the instantaneous rate of change at a point on a graph?
  
• How do you use the quotient rule to differentiate #y=cos(x)/ln(x)#?
  
• How do you find the derivative of #y=cos(x^2)# ?
  
• How do you find the derivative of #y=e^(5x)#?
  
• How does instantaneous rate of change differ from average rate of change?
  
• How do I find the integral #int(x*e^-x)dx# ?
  
• How do you evaluate the inverse function by sketching a unit circle, locating the correct angle, and evaluating the ordered pair on the circle for: #tan^-1 (0)# and #csc^-1 (2)#?
  
• How do I find the integral #intx*2^xdx# ?
  
• What is the derivative of #y=arccsc(x)#?
  
• What is the derivative of #y=arcsin(x)#?
  
• What is the logarithm of a negative number?
  
• Question #70fcd
  
• How do you find the derivative of #y =4/sqrt(x)#?
  
• How do you find the derivative of #y=tan(x)# ?
  
• How do you find the equation of a normal line to a curve at a given point?
  
• How do I find the integral #int(x*cos(5x))dx# ?
  
• How do you find the derivative of #y=x^tan(x)#?
  
• How do you find the derivative of #y=tan^2(3x)#?
  
• How do you find the 50th derivative of #y=cos(x)# ?
  
• What is notation for the Second Derivative?
  
• What is the derivative of #f(x)=log(x^2+x)# ?
  
• How do you find the derivative of #y=arcsin(1/x)#?
  
• What is the derivative of #f(x)=sec^-1(x)# ?
  
• What is the derivative of #y=arctan(4x)#?
  
• What is the derivative of #y=arccos(x )#?
  
• How do I find the integral #int(ln(x))^2dx# ?
  
• How do you find the second derivative by implicit differentiation on #x^3y^3=8# ?
  
• How do you find the derivative of #y =sqrt(3x+1)#?
  
• How do you Find the #n#-th term of the infinite sequence #1,-2/3,4/9,-8/27,…#?
  
• What is the derivative of #y=arcsin(x/3 )#?
  
• 55,000J of work is done to move a rock 25m. How much force was applied?
  
• Question #2d8ad
  
• Explain why displacement is a vector quantity?
  
• How do speed and velocity differ from each other?
  
• Why is a vector product perpendicular?
  
• How do vectors subtract graphically?
  
• Why is projectile motion parabolic?
  
• Why vectors cannot be added algebraically?
  
• What are vectors?
  
• What is an acceleration vs time graph?
  
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