Answers created by Massimiliano

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• When can the law of sines be used?
  
• What is the instantaneous velocity of an object moving in accordance to # f(t)= (e^(t^2),2t-te^t) # at # t=-1 #?
  
• What is the midpoint of the line segment between #P_1(2,3)# and #P_2(-4,4)#?
  
• How do you solve #y+2x=5# and #2x^2 - 3x - y =16#?
  
• A circle has a center at #(3 ,5 )# and passes through #(0 ,2 )#. What is the length of an arc covering #(3pi ) /4 # radians on the circle?
  
• How do you integrate #int x^3 /sqrt(16 - x^2) dx# using trigonometric substitution?
  
• Question #39a8d
  
• What is the antiderivative of #(e^x)/(1+e^2x)#?
  
• How do you multiply #2sqrt5(sqrt6+2)#?
  
• How do you divide #sqrt6*sqrt24#?
  
• What is the domain of #tan(2x)#?
  
• How do you verify #(1+cos2x)/(sin2x) = cotx#?
  
• What is the derivative of #f(x)=arcsin sqrt sinx#?
  
• What is the derivative of tan(cos x)?
  
• How do you find the global extreme values for #f(t) = tsqrt(4 - t²)# on [-1,2]?
  
• How do you determine if rolles theorem can be applied to #f(x) = 2 − 20x + 2x^2# on the interval [4,6] and if so how do you find all the values of c in the interval for which f'(c)=0?
  
• Question #4fa15
  
• Question #1f118
  
• Question #5a56e
  
• How do you find the derivative for #f(x) = (2x+1)(4-x^2)(1+x^2)#?
  
• How do you find the derivative of #f(x)= (2x^2-x+1)/(2x-1)# using the quotient rule?
  
• How do you find the derivative using the Quotient rule for #f(z)= (z^2+1)/(sqrtz)#?
  
• How do you determine if #sum n^3/((n^4)-1)# from n=2 to #n=oo# is convergent?
  
• How do you determine if the sum of #5^n/(3^n + 4^n)# from n=0 to infinity converges?
  
• How do you simplify #n^4 * n^3 * n^2#?
  
• Question #e2720
  
• Question #ab539
  
• Question #150d7
  
• A bullet leaves the muzzle of a gun at 250 m/s to hit a target 120m away at the level of the muzzle (1.9 m above ground), the gun must be aimed above the target. (Ignore air resistance.) How far above the target is that point?
  
• Suppose that you launch a projectile at a high enough velocity that it can hit a target at a distance. Given the velocity is 34-m/s and the range distance is 73-m, what are two possible angles the projectile could be launched from?
  
• Two objects move with initial velocity -9.15 m/s, final velocity 18.3 m/s, and constant accelerations.The first object has displacement 19.5 m. What is its acceleration? The second object travels a total distance of 22.5 m. What is its acceleration?
  
• Assuming no air resistance, how long does it take a penny to fall if thrown down with an initial velocity of 5.0 m/s from the CN tower (553m). Acceleration due to gravity is 9.8 m/s2?
  
• A 2.67 kg block slides down a frictionless plane, from rest, with an acceleration of 5.48009 m/s^2. What's the block's speed (in m/s) after travelling 2.1 m along the incline?
  
• What is the instantaneous velocity of the ball at t=2 seconds if a ball is thrown in the air and its height from the ground in meters after t seconds is modeled by #h(t)=-5t2+20t+1#?
  
• What is the instantaneous velocity of a thrown object at maximum height?
  
• What is the max height of the projectile motion of an object if the initial velocity was 129.98 m/s and makes angle at 24 degrees to the horizon and the total time was 10.77s?
  
• Question #a85ff
  
• How do you find the derivative of #Y= ( 5x + 3 )( x - 7)^(-1/3)#?
  
• How do you differentiate #5^(x-2)#?
  
• How do you determine if rolles theorem can be applied to #f(x) = 2x^2 − 5x + 1# on the interval [0,2] and if so how do you find all the values of c in the interval for which f'(c)=0?
  
• How do you determine if rolles theorem can be applied to #f(x)= 3sin(2x)# on the interval [0, 2pi] and if so how do you find all the values of c in the interval for which f'(c)=0?
  
• How do you determine if rolles theorem can be applied to #f(x)= 10 sin (2x)# on the interval [0,2pi] and if so how do you find all the values of c in the interval for which f'(c)=0?
  
• What is the equation of the line tangent to the curve #y=(x^2-35)^7# at x=6?
  
• How do you evaluate arcsin on a calculator?
  
• How do you graph #y=5cosx#?
  
• How do you find the intervals in which #f (x) = log_7(1+x^2)# is increasing or decreasing?
  
• How do you find the sine, cosine, tangent, and cotangent of: 122 degrees?
  
• What is the side of regular polygon of 6 sides inscribed in a circle with a radius of 15 in?
  
• How do you find the exact value of #arctan(2) + arctan(3)#?
  
• How do you get the derivative of #(arctan(6x^2 +5))^2 #?
  
• How do you write #y = 2x^2 + 2# in vertex form and identify the vertex, y intercept and x intercept?
  
• How do you write #y =-2x^2 + 12x - 13# in vertex form and identify the vertex?
  
• How do you write #y=x^2+12x+32# into vertex form?
  
• Question #6c523
  
• How do you solve #abs(x + 4)< -8#?
  
• How do you solve #abs(x+4)<0#?
  
• How do you solve #abs(x + 4)<= -24#?
  
• How do you find the discriminant and how many solutions does #x^2 + 25 = 0# have?
  
• In a fast-food restaurant, the ratio of people eating hamburgers to people eating chicken is 4 :3. There are 84 people in the reasturant. How many people are eating hamburgers and how many are eating chicken?
  
• How do you simplify #1/2*sqrt32*sqrt2#?
  
• How do you complete the square to solve #4x^2 - 7x - 2 = 0#?
  
• What is the absolute value of -9?
  
• How do you simplify #-3^-4#?
  
• How do you use the convergence tests, determine whether the given series converges #sum (7-sin(n^2))/n^2+1# from n to infinity?
  
• How do you find the derivative of #y = arctan(cosx)#?
  
• How do you simplify #sqrt(5/7)#?
  
• How do you factor #6m^2 + 9m#?
  
• How do you find the slope of a line parallel to #3x+5y=15#?
  
• 5)What is the slope of a line parallel to #10x - 5y = 8#?
  
• What is the slope of a line parallel to #4x + 2y = 5#?
  
• What is the slope of a line parallel to the line whose equation is #5x + 3y = 15#?
  
• How do I divide complex numbers in standard form?
  
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #Y=2x# and #Y=x^2# rotated around the x-axis?
  
• How do you differentiate #y = arcsin (2x^3)#?
  
• How do I find the antiderivative of #sin^7(x)cos^6(x)#?
  
• What is the derivative of # x^e#?
  
• What is the derivative of #x^x^x#?
  
• How do you find the exact value of #arc tan (1/2)+arc tan (1/3)#?
  
• What is the reference angle and what quadrant does 300 degrees lie?
  
• How do you use the law of cosines or law of sines if you are given a = 55, b = 25, c = 72?
  
• How do you express the complex number in trigonometric form # 3(cos 180° + i sin 180°)#?
  
• How do you find the derivative of #(3x-2)^10 * (5x^2-x+1)^12#?
  
• How do you use comparison test to determine is the integral is convergent or divergent given #int x / (8x^2 + 2x^2 - 1) dx# ?
  
• How do you use part 1 of the fundamental theorem of calculus to find the derivative of #g(x)= int cos(sqrt( t))dt# 6 to x?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #g(x) = int(1 / (t^3 + 1)) dt# from [1,x]?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x) = int arctan t dt# from [2,1/x]?
  
• How do you find the derivative of the function #f(x)=arcsin(4x)+arccos(4x)#?
  
• How do you find the derivative of: #arcsin x + arccos x#?
  
• How do you find the derivative of #tan(arcsin x)#?
  
• How do you integrate #inte^(cos)(t) (sin 2t) dt# between #a = 0#, #b = pi#?
  
• How do you use a double-angle formula to rewrite the expression #3 − 6 sin2 x#?
  
• How do you solve #Sin x + Sin 2x + Sin 3x + Sin 4x = 0#?
  
• How do you find the domain of #g(x)=10/(4-5x)#?
  
• How do you write the quadratic in vertex form given #y=3x^2+6x-1#?
  
• How do you write the quadratic in vertex form given #y=1/2(x-3)^2+8#?
  
• How do you write #y = (x+1)(x-3)# into vertex form?
  
• How do you find the slope for #4x+3y=2#?
  
• How do you write an equation in standard form for a line passing through D(5, -2) m = 2/5?
  
• How do you write an equation in standard form for a line passing through A(5, 5), m = 3?
  
• How do you write an equation in standard form for a line passing through (2, 5) with a slope of 3?
  
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