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Quiz 3 - Math 53, section 213
1. Find parametric equations for the tangent line to the curve given by parametric equations
x = 1 + 2√t, y = t3 - t, z = t3 + t, at the point (3, 0, 2).
2. Find the limit, if it exists, or show that the limit does not exist:
lim(x,y)→(0,0)(x4 - 4y2/x2 + 2y2).
Give 3 real-world examples where something is increasing at a constant rate or decreasing at a constant rate. The starting amount would be the y-intercept, "b", and the rate at which it increases would be the slope
business week conducted a survey of graduates from 30 top mba programs business week september 22 2003. the survey
Use the euclidean algorithm to find the greatest common divisor of 981 and 1234.
To pay for their child's college education, the parents invested $10,000, part in a certificate of deposit paying 8.5% annual interest, the rate in a mutual fund paying 7% annual interest. The annual income from the mutual fund. How much money was..
three sisters got weighed at the doctors office. gina weighed twice as much as brianna. annie weighed 5 more pounds
Write a mixed outcome problem (can be mass to volume, volume to representative particle, etc.)
Musical styles other than rock and pop are becoming more popular. A survey of college students finds that 50% like country music, 30% like gospel music, and 15% like both.
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch.
Evaluate the given integral by using appropriate method in integration. Approximate the integral using (a) the trapezoidal approximation T4 (b) Sampson's approximation S6
mike was playing golf at hartford golf club. he hit the shot from the 4th tee which was 7 yards above the ground
a)Use Laplace transforms to solve the IVP: y'' + 4y = 0, y(0) = 1, y'(0) = -1 b)Find the Laplace of e^(2t)cos(3t).
Use spherical coordinates. Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 25, above the xy-plane, and below the cone z = √(x2 +y2).
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