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Find the tangent line to the following curves at the indicated points
a. 2(x2 + y2)2 = 25xy at the point (1, 2).b. x2 cos(y) + sin(2y) = xy at the point (-π, π).c. y3 + y - 2 = x(x + l)2 at the point (0,1).
Find the slope of the line tangent to the graph of r = 1 -sin θ at θ = π. Find the Cartesian equation for the line tangent to the graph of r = 1 - sin θ at θ = π.
a rectangular playground is to be fenced and divided into two by another fence parrallel to one side of the play ground. 216 feet of fencing is used.find the dimensions of the playground that maximixe the total enclosed area.
Let S={1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity
The edge of a cube was found to be 40 cm with a possible error of 0.3 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
What is the marginal product of the first worker? What is the marginal revenue product of the first worker? Fill in the rest of the table. How many workers will this firm hire at a wage of $7
one pound of bananas cost 4.09 per pound. what is the unit cost for the bananas?
A number, a, is 11 more than twice another number, b. The sum of the numbers is 32. What is the value of the smaller number?
Write algeraic expression-pre-calculus.
Suppose that 56% of the voters in a state intend to vote for a certain candidate. What is the probability that a survey polling six people reveals that three or fewer intend to vote for that candidate? (Round your answer to 4 decimal places.)
Find the resultant (sum) of the complex numbers. Express in rectangular form
Let A, B and C be subsets of a universal set U and suppose n(U) = 100, n(A) = 30, n(B) = 30, n(C) = 32, n(A ∩ B) = 9, n(A ∩ C) = 10, n(B ∩ C) = 14 and n (A ∩ B ∩ C) = 5.
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