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Find the equation of the line tangent Find the equation of the line tangent
Find the slope and Y-intercept of: Find the slope and Y-intercept of:
Graph an ellipse as a polar function with a focus at the pole and parameterized by the eccentricity e and the distance d between the focus
Graph an ellipse as a polar function with center at the pole and parameterized by the lengths of the semi-major and semi-minor axes
Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
In a class, there are 20 men and 15 women. Find the ratio of the number of men to the number of students in the class.
Find the Taylor polynomial of degree 4 of at c=4 and determine the accuracy of the polynomial at x=2.
The earth with center at the origin has equation of xsquared + ysquared =65 where x and y are distances in thousands of kilometers.
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet.
Find an example, of the BMI between man/woman and estimate a best fit line graphically. Develop an approximate linear model using the point slope form
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve
Plot the component curves and the orbit, the latter for the rectangle |y|< 0.25 and |y'|< 1.
Corollary:(Divergence criterion for function limits).let f be a function defined on A, and let c be a limit piont of A.
Plot the graph of the equations 3x - 2y = -6 and 4x + 2y = -11 and interpret the result.
The simple interest formula says that if $1,000 is invested at 7.5% (r=0.075), then A=75t+1000, t>=0.
Find the domain and range of the function: f(x)=6xsquared+4
You have enough grass seed to cover an area of 300 square feet. You want to install fencing around the area you are going to seed
Show that the following family is not complete by finding at least one nonzero function u(x) such that E[u(X)]=0, for all theta >0.
Explain how the graph of the parabola can be obtained from the graph of y =x2 by using appropriate translation and scalings.
Explain sine, cosine, tangent, cotangent functions and inverse trigonometeric functions like arcsin, arccos, arctan and arccot functions with graphics.
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one
Find the pair of parallel lines: Find the pair of parallel lines:
Use the function f(z) = z to show that in Exercise the condition f(z) does not equal 0 anywhere in P is necessary in order to obtain the result
Find a linear function perpendicular to the function y= -5x + 12 at the point (2,5) in standard form, point slope form, and slope-intercept form.
List all of the sets that have the following properties.