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 = #(x1)^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(xy) / sin(xy)  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?