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1. Find the linearization of f(x) = 5/√(1-x) at x = 0.
2. Use differentiation to approximate the maximum error in using 5 cm as the radius of a sphere to calculate its volume if the measurement is off by at most 6 mm. Find the approximation of both the relative and percentage error for the volume.
3. Suppose that fluid is leaking from an overhead pipe and spreading in the shape of a circle on the ground. If the radius of the circle is increasing at a rate of 0.5 feet per minute, how fast is the area of the circle increasing when the radius is 3 feet?
4. A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and car 8 is driving east along the second road. At a particular time car A is 10 kilometers to the north of P and traveling at 50 km/hr, while car 8 is 15 kilometers to the east of P and traveling at 80 km/hr. How fast is the distance between the two cars changing?
5. Find the maximum and minimum values of f(x) = x/x2+25 on [0, 10].
Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b)) Write an equation for the tangent line that is parallel to the secant line AB. Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1
What did the doctor say after examining Yunn Yunsberger.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
question a supermarket sells 2 cans of ground coffee for 18.50. the cost of coffee varies directly with the number of
Each of the two win that won the least?
Which project or projects should be accepted if they are independent? Which projectshould be accepted if they are mutually exclusive?
a triangle drawn on a map has sides of lengths 8 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 105 km. Find the longest of the real-life distances.
A car is traveling at 92 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
Modeled the word problem mathematically like system of equations and solve by the matrix method - Determine the augmented matrix that represents the three equations
The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.
A grind stone starts from rest and has a constant angular acceleration of 4.0 rad/sec2. Find the angular displacement and angular velocity, after 4 sec.
Food B is bought under a long-term contract requiring that at least 2 units of B be used per serving. How much of each food must be bought to produce the minimum cost per serving? What is the minimum cost per serving?
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