Questions asked by Nman

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• Solve each equation for all nonnegative values of theta less than 360 degrees: 3sin(theta/2)=2sin^2(theta/2)?
  
• How do you solve for x? Give any approximate result to 3 significant digits. Check your answers.
  
• Multiply the vectors. The answer is 29 - j29?
  
• Write as an imaginary number. Answer is j/12?
  
• Simplify, and write without negative exponents?
  
• How to prove these identities?
  
• Solve for x to three significant digits?
  
• Simplify this function of Double Angles?
  
• How do you write this complex number as an imaginary number?
  
• A sum of money was divided between A and B so that A's share was to B's share as 5 is to 3. Also, A's share exceeded #5/9# of the whole sum by $50. What was each share?
  
• Find the slope of the tangent at the given value of x?
  
• Find the derivative of this function?
  
• Derivatives of Products and Quotients. Find the derivative?
  
• Find the derivative?
  
• Find the equation of the line tangent to the parabola #y=x^2 -3x + 2# and perpendicular to the line #5x - 2y - 10=0# ?
  
• Find the maximum, minimum, and inflection points for the following function ? y = #(x-1)^4(x+2)^3#
  
• The curve #y = 2x^3 - 6x^2 - 2x + 1# has two tangents parallel to the line #2x + y = 12#. Find their equations?
  
• Derivative of the sine and cosine functions. First Derivative. How can I simplify this expression ?
  
• Derivatives of Trigonometric, Logarithmic, and Exponential Functions. Implicit Relations. How do I differentiate this implicit function ? Answer: sin(x-y) / sin(x-y) - 1
  
• Write the function that has derivative y prime = #x^2# and passes through (1,1) ?
  
• Evaluate the following definite integral to three significant digits. I have been using rule #int ((du)/u) = ln |u| + C # And come out with an answer of 0.546. The answer is 0.732?
  
• Find the function whose derivative is given ?
  
• A beam of #prop# particles (helium nuclei) is used to treat a tumor located 10.0 cm inside a patient. To penetrate to the tumor, the #prop# particles must be accelerated to a speed of 0.458c, where c is the speed of light. (Ignore relativistic effects?
  
• Find the area between the curve # y = e^(2x) # y = 0 from x = 1 to 3 ?
  
• A rectangular garden laid out along your neighbour's lot contains 432m^2. It is to be fenced on all sides. If the neighbour pays for half the shared fence, what should be the dimensions of the garden so that your cost is a minimum?
  
• If #y=sqrt(83.2x^3)# , find y'(1.74) ?
  
• Write seven terms of the Fourier series given the following coefficients?