Answers edited by Gió

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• How do you use vector components to find the magnitude?
  
• How do you write the polynomial `p(x)=6x^3+13x^2-4` as a product of linear factors ?
  
• How do I use matrices to solve the system `2x+3y=4` and `5x+8y=11`?
  
• How to divide the radical expression `sqrt(125m^5n^2) / sqrt(5m^3n)`?
  
• What is the relationship between the rectangular form of complex numbers and their corresponding polar form?
  
• How do you find the equation of the tangent line to the graph of `y=x^3-3x^2+x` at the point (2,-2)?
  
• Question #53f20
  
• How do I find the antiderivative of `f(x) = (5x)/(10(x^2-1))`?
  
• How do I evaluate `intsin (pi x) cos (pi x) dx`?
  
• Question #fba7e
  
• How do you find the derivative of `f(x)=ln(ln(7x))+ln(ln6)`?
  
• How do you draw angles of rotation in standard position?
  
• Question #c2fdf
  
• How do I evaluate `int(ln(3x))^2 dx`?
  
• What is the horizontal asymptote of the graph of `y=(3x^6-7x+10)/(8x^5+9x+10)`?
  
• What is the quotient of powers property?
  
• When using a shaving mirror with a focal length of 72 cm to view the image the face, if the face is 18 cm from the mirror, determine the image distance and the magnification of the face.
  
• How do I evaluate `inte^(2x)cosx dx` by parts?
  
• How do you graph `f(x,y)= 10-4x-5y`?
  
• How fast is the radius changing when diameter of the snowball is 10 cm given a spherical snowball with an outer layer of ice melts so that the volume of the snowball decreases at a rate of 2cm per 3min?
  
• How do you convert the polar equation `10 sin(θ)` to the rectangular form?
  
• How do you find the value of x that gives the minimum average cost, if the cost of producing x units of a certain product is given by `C = 10,000 + 5x + (1/9)x^2`?
  
• How do you evaluate the integral `∫ (1-sinx)/cosx dx`?
  
• How do you evaluate `log_2 0.5+log_4 4-log_5 25` without a calculator?
  
• What is `intsqrt(x^2-9)/(x) dx`?
  
• How do you evaluate the integral of `dx/(e^x(3e^x+2))`?
  
• How do I find the nth root of a complex number?
  
• How can I evaluate the integral `intx^2e^(4x)dx`?
  
• Why does a lake freeze at the top first, rather than throughout or at the bottom?
  
• How do you find `f'(4)` if `f(x)=2sqrt(2x)`?
  
• What can be said about two planes that are perpendicular to the same line?
  
• Question #6ea21
  
• How do I evaluate `int(csc^2x)/(cot^3x) dx`?
  
• Question #0a385
  
• The latent heat of fusion of water is 334 J/g. How many grams of ice at 0°C will melt by the addition of 3.34 kJ of heat energy?
  
• Question #a56e8
  
• Question #e61be
  
• How do you divide `sqrt(12x^3y^12)/sqrt(27xy^2)`?
  
• What is the derivative of `f(x)=ln(ln(7x))+ln(ln(6))`?
  
• Question #0b375
  
• Question #7d207
  
• How do I solve the equation `dy/dt = 2y - 10`?
  
• How do you find the arc length of the curve `y=ln(sec x)` from (0,0) to `(pi/ 4,1/2ln2)`?
  
• How do you find the slant asymptotes for `(x^2-6x+7)/(x+5)`?
  
• How do I evaluate the integral   `intsec^3(x) tan(x) dx`?
  
• How do you graph `f(x) = xsqrt(4-x^2)`
  
• Find an equation of the tangent line to the curve at the given point ? y= (sqrt x) , (49,7)
  
• How many moles of ammonia are there in a 5.00 L cylinder if they exert a pressure of 8.65 atm at 18.0 Celsius?
  
• How high will a ball go if it is thrown vertically upward from a height of 6 feet with an initial velocity of 60 feet per second and the acceleration is -32 feet per second squred?
  
• Question #1dfc9
  
• Question #55b8d
  
• At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the instant when the surface area is 5 square meters and the radius is increasing at the rate of 1/3 meters per minute?
  
• How do you find the limit of `(cos (2x))^(3/(x^2))` as x approaches 0?
  
• Question #7a1ff
  
• How do you integrate `cos2x`?
  
• Question #99e82
  
• What is the integral of `f(x)=xe^(2x)`?
  
• Question #c4024
  
• How do you find the integral of `7x^2ln(x) dx`?
  
• How do you differentiate `f(x)= x/(x+1)`?
  
• How do you find `sin(pi/12)` and `cos(pi/12)`?
  
• How do you find the antiderivative of `e^(-2x)`?
  
• Question #8effb
  
• Question #4d93e
  
• How do you find the derivative of `y = s/3 + 5s`?
  
• Question #6a1f2
  
• The temperature of a gas contain in a closed vessel increased by 2C(2 Degree celcius) when the pressure is increased by 2%. What is the initial temperature of the gas?
  
• How do you find the total force exerted on the five exposed faces of a cube that is on a side lying on the bottom of a swimming pool that is 20ft by 15ft by 10ft deep filled with water?
  
• How do you find the derivative of y in the equation `ln(xy)=x+y`?
  
• What are some examples in which the limit does not exist?
  
• What does the graph of `r = \cos \theta` such that `0^\circ \le \theta \le 360^\circ` look like?
  
• How does electromagnetic radiation relate to the structure of an atom?
  
• How do you write `sqrt(24a^10b^6)` in simplest form?
  
• How do I find the square root of a complex number?
  
• How do you write the equation for the line tangent to `f(x)` in `x = 0` if f is the function given by `f(x) = (2x^2 + 5x -1)^7`?
  
• Question #4f42d
  
• What is the slope of (-23,4) and (-4, 5)?
  
• What are coincident lines?
  
• What is the law of cosines?
  
• How do you find the Integral `(ln(3x))^2dx`?
  
• How do I find the antiderivative of `e^(2x) + 1`?
  
• What is meant by a component of a vector?
  
• How do you write `log_4 (1/16) = -2` into its exponential form?
  
• How do you integrate `xe^(2x)dx`?
  
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