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Suppose you need to know an equation of the tangent plane to a surface S at the point P(2, 1, 3). You don't have an equation for S but you know that the curves
r1(t) = (2 + 3t, 1 - t2, 3 - 4t + t2)
r2(u) = (1 + u2, 2u3 - 1, 2u + 1)
both lie on S. Find an equation of the tangent plane at P.
I cannot find the famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls?
Use the accompanying graph to estimate the year in which the population will reach 400 million people.
a perfectly competitive firm has the following fixed and variable costs in the short run. the market price for the
Estimate the slope of the curve y = f(t) at t = 0 .2 . In principle, what is the relationship between this slope and the instantaneous speed?
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
The width of a rectangular photo frame is 8 centimeters less than its length. If the area of this rectangle is 240 square centimeters, find the length and width of the frame.
Use the product rule for differentiation to find derivatives in each of the following: I will understand your answer better if you use the formula we are using in school: If f(x)=u(x) . v(x), and if u'(x) and v'(x) both exist, then f'(x) = u(x) . v' ..
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
The line of action of the 4800-lb force F runs throughthe points A and B as shown in the figure. Determinethe x and y scalar components of F.
Joe believes that the relation {(2,1),(3,-2),(4,5),(5,-2)} is not a function because two values in the domain have the same range value. What is the student's error?
a motel clerk count his $1 and $10 bills he find he has a total of 46 bills combine value of $154 find the number of bills denomation.
A building 190 feet tall casts a 60 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (A..
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