Answers created by Yahia M.

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• What is the derivative of #sin^3(x)cos(x)#?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #-2 C# and #3 C# that are #3 m # apart?
  
• What is the law of conservation of momentum?
  
• What are some examples of adjacent angles?
  
• What are the vertex, focus and directrix of # y=x^2+4x+4 #?
  
• What is the graph of #f(x)=-2x^2+7x+4#?
  
• What is the integral of #1/(1+x^2)#?
  
• Find the equation of the tangent and normal to the curve y=cosx at x=π/3?
  
• How do you solve #2x+7=-7+x+6-x#?
  
• What is the standard form of #y= (x+3) (x+4) #?
  
• How do you factor #x^2 + 5x + 6#?
  
• How do you solve #-97= - 2- 5( 7- 6x )#?
  
• How do you find the Integral of #e^(3x)* cos( 3 x ) dx#?
  
• How do I find an equation for a hyperbola, given its graph?
  
• Answer ? The Derivative of 2x²+3x-4/√x
  
• Area Between Curves?
  
• How can you find the antiderivative of 1/(1+3x²) ?
  
• How do you Integrate ?
  
• Find the domain f(x) =1 /sqrtx^2-4x+3?
  
• How do you differentiate #y= ln(1-x^2)^(1/2)#?
  
• What is the derivative for #y=tan(x)+x^(5/2)+2x#?
  
• What is the antiderivative of #sqrt(x+3)#?
  
• How do you factor the expression # 81x^(4/5) - 256#?
  
• Integrals of (sec^(2)(x))/(tan(x))?
  
• How do you prove #(1+tan^2x)/(1-tan^2x)=1+tan2x.tanx# ?
  
• How do I find the derivative of k(a)=sin^5acos^4a?
  
• How do you use the chain rule to differentiate #y=(5x^5-4x^3)^-3#?
  
• What is the polygon angle-sum theorem?
  
• How do you solve #1-2lnx=-4#?
  
• What is the vertex form of #y=-4x^2+4x-1 #?
  
• What is the slope of the line between # (-2,-32) # and # (6,0) #?
  
• What is the equation of the line tangent to # f(x)=e^(x^2+x) # at # x=0 #?
  
• What's the unit matrix ?
  
• Integrate dx/2-x^2 =?
  
• How do you solve #3sec^2x-4=0#?
  
• Evaluate cos 4π/3?
  
• How do you solve a right triangle with side a = 400 feet and side b = 900 feet?
  
• I have had a hard time with this question, what is the standard form of the equation of the ellipse with the given characteristics? Center: (1, −5); a = 7c; foci: (1, −6), (1, −4)
  
• How do you find the integral of #x^5*e^(x^2) #?
  
• On a farm there are chickens and cows. Together they have #200# legs and #75# heads. How many cows and chickens are there on the farm? Use a system of equations.
  
• Given that tan #2pi//9=0.8391#, use equivalent trigonometric expressions to evaluate cot #5pi//18#, to four decimal places?
  
• What is the common difference in the sequence: 1, 5, 9...?
  
• Which appropriate trigonometric substitution is needed to evaluate: #intdx/sqrt(x^6-x^8)# ? Thank you so much in advance! Greetings
  
• Using logarithmic differentiation or otherwise, differentiate x^(x^2)?
  
• How do you find the range of #f(x)=x+7#?
  
• Given #f(x) = (x+3)/2#, what is #f^-1(x)#?
  
• What is the surface area of the solid created by revolving #f(t) = ( 3t-1, t^2-2t+2), t in [2,3]# around the x-axis?
  
• How do you simplify #2/sqrt9#?
  
• How do you find the range given x=3-2t and y=2+3t for -2 ≤ t ≤ 3?
  
• What units is torque measured in?
  
• What does hyperbola mean in math?
  
• How to write Y=2x^2+8×+3 In vertex form??
  
• What is the quotient of 6 and 2 ?
  
• What is the antiderivative of #(2x^4)+(4x^3)+(3x^2)+2x+4#?
  
• Prove the identity using the following rules, Algebra, reciprocal, quotient, Pythagorean, and odd/even?
  
• What is the Coulomb's law?
  
• How do you subtract #\frac { - 3} { 4} - \frac { 9} { - 7}#?
  
• How do you find the center, foci and vertices of the hyperbola #(x-1)^2/4-(y+2)^2/1=1#?
  
• How do you use the distributive property to rewrite and evaluate #9(7+8)#?
  
• Obtain the equation of the parabola with focus (3,2) and directrix 3x-4y+9=0?
  
• Factorise p(x)=2x^3+3x^2+3x+2?
  
• Sheldon uses the even numbered cubes below to play a game. 2 , 4 , 6 , 8 and 10. ? Rest of problem is in Details!
  
• Prove that the function f(x)=tanh^-1(x) is an odd function ?
  
• What are the set of values for which this equation has real distinct roots?
  
• How do you solve #Log_2x + log_2(x+2) = log_2(6x+1)#?
  
• Find the coordinates of the points of intersection of the two curves. (y=x^2-1 & y=6/x^2)?
  
• How do you find the derivative of #arcsin(5x)#?
  
• What is the integral of this function?
  
• If y varies inversely as x and x=2 when y=8, what is x when y=5?
  
• What are the solutions to #(x-3)^2+8=12#?
  
• What is the distance between #A(1,1,1)# and #B(4,1,-3)#?
  
• What are the critical points of #f(x) = sqrt((x^2 - 4x +5))#?
  
• How to integrate (sinx)(cosx)(e^cosx)dx ?
  
• What is the equation of the tangent line of #f(x) =sqrt(x+15)-x/(x-15)# at #x=5#?
  
• How do you find the derivative of #x^(2 lnx)#?
  
• How to find the values for x for which the function #y=sqrt(tan(x))# is not differentiable?
  
• How do you find the indefinite integral of ∫ dx/ (√5-x^2) ^3 ?
  
• How do you find the equation of a line tangent to the function #y=(x-2)(x^2+1)# at x=-1?
  
• Find dy/dx if?
  
• What is the discriminant of -8x^2+4x−1 and what does that mean?
  
• What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin2t-cos2t,sin(2t-pi/4)) # at # t=(-pi)/3 #?
  
• What is the derivative of # arcsin(x-1)#?
  
• How do you find the equation of the line tangent to the graph of #y=3x^2-6x+2#, at the point (3,11)?
  
• What is the derivative of #xe^(y^x)#?
  
• How do you integrate #int e^(2x)/sqrt(-e^(2x) +25)dx# using trigonometric substitution?
  
• How do you find the integral #ln(x^2+x+1)#?
  
• What is the derivative of an absolute value?
  
• How do you differentiate #y=ln(sin^(2) x)#?
  
• How do you determine if #3x = |y|# is an even or odd function?
  
• What is an identity matrix?
  
• What is the instantaneous velocity of an object moving in accordance to # f(t)= (e^(t-t^2),2t-te^t) # at # t=-1 #?
  
• What is the polar equation for #x^2+y^2=9#?
  
• What is the least common multiple of 7 and 24?
  
• What is the sale price on a $150 item that is on sale for 25% off?
  
• What's the equation of a line that passes through (-4,1) and (0,5).?
  
• How do you solve #9.36+ k = 14.8#?
  
• Evaluate: integration[sin(x^0)dx]?
  
• How do you integrate #int ln 4x dx # using integration by parts?
  
• What is the equation of the normal line of #f(x)= 1/xe^(-x^3+x^2) # at #x=-1#?
  
• How do you find the derivative of #y=cos(cosx)# ?
  
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