Answers created by Trevor Ryan.

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• How do you evaluate `1+ 8\div 4`?
  
• How much work would it take to push a `9 kg` weight up a `5 m` plane that is at an incline of `pi / 4`?
  
• How do you differentiate `cos(-x)`?
  
• How do you simplify `sqrt(tan^2x-2tanxsinx+sin^2x)`?
  
• How do you simplify `(9+8i)+(8-9i)`?
  
• How do you solve `2e^x-1=11`?
  
• How do you solve `|10- 8x | < - 13`?
  
• How do you integrate `int 1 / ((x+5)^2 (x-1) )` using partial fractions?
  
• If `y` varies directly with `x` and `y=20` when `k=4`, what is the value of `x`?
  
• How do you evaluate `sum_(n=2)^6(2n-1)`?
  
• How do you convert 3.2 moles of Ca to atoms of Ca?
  
• In which organelle does cellular respiration take place?
  
• How do you solve `2sin^2x+3sinx+1=0` and find all solutions in the interval `[0,2pi)`?
  
• Why do herbivores have prominent incisors?
  
• An object with a mass of `150 g` is dropped into `500 mL` of water at `0^@C`. If the object cools by `60 ^@C` and the water warms by `9 ^@C`, what is the specific heat of the material that the object is made of?
  
• How do you condense `ln(1+x^9)+1/2(ln(x)-ln(sin(x)`?
  
• Question #ac059
  
• How do you solve `-5y-7<=3`?
  
• What is the atomic mass of K?
  
• How do you evaluate the definite integral `int 2/(x+1)^2` from `[0,3]`?
  
• How do you differentiate `f(x)=sec^2(e^(x) )` using the chain rule?
  
• Why are nucleic acids important?
  
• Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of the spill increases at a rate of 9π m²/min. How fast is the radius of the spill increasing when the radius is 10 m?
  
• If a quadratic equation has 2 identical rational roots, how many times will its graph intersect the `x`-axis?
  
• What are the 5 types of white blood cells?
  
• What is the angle between the vectors A = 2.00i + 6.00j, and B=2.00i - 3.00j?
  
• How do you solve `Ax=B` given `A=((2, 0, 0), (-1, 2, 0), (-2, 4, 1))` and `B=((4), (10), (11))`?
  
• An electric toy car with a mass of `3 kg` is powered by a motor with a voltage of `4 V` and a current supply of `2 A`. How long will it take for the toy car to accelerate from rest to `14/3 m/s`?
  
• How do you simplify `-(3-x)`?
  
• Application of mechanics - What minimum linear velocity is required by a racing driver to round a bend of radius 100m, inclined at angle 85 degrees to the horizontal, if the coefficient of kinetic friction between his tyres and the surface is 0,5? See ske
  
• What is the range of the function `y = (2x-1)^3 - 3`?
  
• How do you implicitly differentiate `ln(x-y)=x-y`?
  
• What is the derivative of `ln^2 (x)`?
  
• What is the norm or `<-7 ,6,-1 >`?
  
• How do you differentiate `g(x) =4/x-cscx`?
  
• A 16 N wooden box is on the floor. How much force does it take to make the box slide if the coefficient of static friction `mu_s = 0.14`?
  
• What is the limit of `(2+3sinx)/(x^3 +1)` as x approaches 0?
  
• How do you differentiate `f(x)=e^tan(1-x^2)` using the chain rule?
  
• What is the 5th term of `(x+2)^9`?
  
• How do you integrate `2/[x^3-x^2 ]` using partial fractions?
  
• The gas inside of a container exerts `18 Pa` of pressure and is at a temperature of `60 ^o K`. If the pressure in the container changes to `42 Pa` with no change in the container's volume, what is the new temperature of the gas?
  
• How do you solve `Sin 3 theta = sin theta`?
  
• What is the vertex form of `y= x^2-x-20`?
  
• How do you simplify `2(x+3)`?
  
• How do you prove `cos 3 theta = 4 cos^3 theta - 3 cos theta`?
  
• How would I use the dot product of `u` if `u``=``5i``+``2j`?
  
• How do you find the sum of the infinite geometric series `4(1/3)^(n - 1)`?
  
• An object, previously at rest, slides `5 m` down a ramp, with an incline of `(3pi)/8`, and then slides horizontally on the floor for another `2 m`. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
• If you add 163.11 g of ice at 0.0 °C to 0.087 L of water at 39.9 °C and allow the water to cool to 0.0 °C, how many grams of ice will remain?
  
• What is .00110 cm converted to mm?
  
• Given `f(x)=x^2+1` with domain `{2,-1,0, 1,3}` what is the range?
  
• The gas inside of a container exerts `25 Pa` of pressure and is at a temperature of `430 ^o K`. If the temperature of the gas changes to `150 ^oC` with no change in the container's volume, what is the new pressure of the gas?
  
• If the length of a `27 cm` spring increases to `65 cm` when a `4 kg` weight is hanging from it, what is the spring's constant?
  
• Vector A has a magnitude of 10 and points in the positive x-direction. Vector B has a magnitude of 15 and make an angle of 34 degrees with the positive x-axis. What is the magnitude of A - B?
  
• How do you simplify `(2-5i) - (7-2i)`?
  
• What is the derivative of `x + 1/x`?
  
• How do you evaluate `sec(18pi)`?
  
• What is the net area between `f(x) = 3x^2-x+2` and the x-axis over `x in [1, 2 ]`?
  
• The electron configuration `1s^2 2s^2 2p^6 3s^2 3p^6` represents which noble gas?
  
• What types of waves are in the electromagnetic spectrum?
  
• What causes electromagnetic waves?
  
• How do you write the mathematical expression for "50 divided by a number h"?
  
• What is `f(x) = int x^3-2x dx` if `f(-2)=-1`?
  
• How do you evaluate `4 - 6|c|` for `c=2`?
  
• How does the frequency of light change as wavelength increases?
  
• How do you simplify `(-1/3x^4)^2`?
  
• A charge of `5 C` passes through a circuit every `4 s`. If the circuit can generate `48 W` of power, what is the circuit's resistance?
  
• What is the measure of the angle between `v = <-2, 7>` and `w = <1, -3>`?
  
• How do you solve `3/4 -: 5 1/5`?
  
• Is a triangle with side lengths 20, 24, and 36 a right triangle?
  
• How do you find the inverse of `A=``((1, 2), (1, 3))`?
  
• Question #d4347
  
• How do you simplify the expression `8a^5(a^-2)^6 div (a^-1)^-3`?
  
• What is the instantaneous rate of change of `f(x)=sqrt(3x^2+4x+2)` at `x=4`?
  
• If 29.4 grams of hydrogen and 3701.3 grams of iodine combine to form hydrogen iodide, how many grams of hydrogen iodide must form?
  
• Question #3171d
  
• How do you find the derivative of `f(x) = x + x^(1/2)`?
  
• What is `4/10 -: 3/5`?
  
• How do I find the derivative of `g(x)=ln(ln(ln(f(x))))`?
  
• What are the factors of 34?
  
• How do you find the limit of `(x^(4) - 2x + 3)/(4 - 5 x^(3))` as x approaches `oo`?
  
• An atom contains 70 protons, 70 electrons, and 99 neutrons. What is the mass number?
  
• How do you solve `3log_2(3x-5) - 7 = 2`?
  
• What causes light to refract?
  
• How do you find the exact value of `tan ((pi)/2)`?
  
• How do you find the equation of the tangent line to the curve `f(x) = ln(x)` at x = 4?
  
• How much work does it take to raise a `7 kg` weight `9 m`?
  
• Is 0 a rational or irrational number?
  
• What is 5`1/4` `*` 2`2/3`?
  
• A star sends out a radio wave into space that has a wavelength of 5.5 meters. What is the frequency of this radio wave?
  
• How do you solve `13n-n^2=0`?
  
• What is `36/7 -: 9`?
  
• What body system do the liver, the islets of langerhans and the spleen fall under?
  
• How do you find `abs( -3+4i)`?
  
• How do you solve for Kc in `7.2647 = -ln(Kc)`?
  
• What is the derivative of `sin(x^2 -2)^3`?
  
• Question #55e72
  
• Can stressors impact your thoughts, emotions, feelings, and physical responsiveness? If yes, how?
  
• Question #215f0
  
• How do you determine if `f(x) = 2x^2 - 7` is an even or odd function?
  
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