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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