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Assume F has characteristic 0 and K is a splitting field of f (x) in F[x]. If d(x) is the greatest common divisor of f(x) and f ' (x) and h(x) = f(x) / d(x)
Trigonometric Functions. Which one of the following trigonometric functions of x is not correct?
Trigonometry and Heart Rates.Digging up the street. A contractor wants to install a pipeline connecting point A with point C on opposite sides of a road.
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area
When the means is 70 and the standard deviation is 15 what is the percentage of rates less than 70, what is the relative frequency of rates less than 40
Find the derivatives of the following functions, and simplify into the forms specified. (a) g(x)=x^(12) (9 ln x + 15)
Trigonometry Word Problem - Football Game Suppose at kickoff of a football game, the receiver catches the football at the left side of the goal line and runs
Latitude and Nautical Mile.A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius
Let f(x)={(x^3)cos(1/x) if xâ? 0, 0 if x=0, and g(x)={(1/x)sin(x) if xâ? 0, 0 if x=0.
You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40
Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity
Derivatives : Trigonometry Rate of Change Problems.A fugitive is running along a wall at 4.0m/s. A searchlight 20m from the wall is trained on him.
Trigonometry and conic sections.Give a polar equation for the curve whose graph is a vertical line that passes 3 units to the right of the origin.
The following graph shows the weight measurements of the average infant from the time of birth (t = 0) through age 2 (t = 24). By computing the slopes
Pythagorean theorem to find the dimensions of door. Hazel has a screen door whose height is 4 feet more than its width
What is a discontinuity? How are discontinuities found? Which types of graphs are continuous?
Center of gravity and forces on foream. A man holds a 178 N ball in his hand, with the forearm horizontal (see the drawing).
Sketch a graph of an equation f(x) = (x)/(x^2) + 4) using meaning work out each and show me your work to getting the answers) intercepts
Pythagorean theorem and sin rule.Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.
Compute the following limits. a. limx?8[(x-2)/(x^2+2)]
Find all relative extrema. Use the Second Derivative Test if applicable.
Find dy/dx by implicit differentiation: sinx + 2cos2y = 1
Examples of the product rule of exponents: 2^1 * 2^2 = 2^(1+2) = 2^3.
Find the derivative of the function. Find the derivative of the function.
Speed Unit Conversions.If a sound wave travels through soft tissue at a velocity of 1.54 mm/microsecond for 2203 ms