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Evaluate the limits of the following questions. Please show work and use a table if necessary.
1. limx→∞ (x2/5) + 7
2. limx→∞ (1/x) + 6
3. limx→∞ 5x6(1/x6)
4. limx→∞ (x3+3x2-4/x5)
5. limx→∞ (1/x2) + 6
6. limx→∞ (3x2-6x-24/x2-10x+24)
7. limx→∞ (x2 +10x +24/(2x+2)(x+4))
8. limx→∞ (2x!/x!(3x))
9. limx→∞ (7•7/7)
10. limψ→0 ψ2/5
Using the limit definition of the derivative find the tangent line to the equation at the given point:
11. f(x) = 2√(3x+4) (0, 4)
12. f(x) = 7x2 + 2x + (16/32) (0, 0.5)
13. f(x) = 3x+2/7x-1 (0, -2)
14. f(x) = x2 (0, 0)
15. f(x) = (7/21)x4 (0, 0)
Translate this verbal sentence into a mathematical sentence: The difference between six and twice a number is 4 more than the number.
Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point:
There are 410 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area.
The Springfield Kings (a professional basketball team), has won 12 of its last 20 games and is expected to continue winning at the same percentage rate
expressing the given exponential function as a power series by determining its coefficients.the following functions
Find the value of k for which the equation has real and equal roots (k+4)x² + (k+1)x + 1 = 0,If -5 is a root of the quadratic equation 2x²+px-15=0 and the quadratic equation p(x²+x) + k = 0 has equal roots, find the value of k?
What is the optimal order size and annual cost if LTL shipping is used? What is the time between orders and what is the optimal order size and annual cost if TL shipping is used with a separate truck for each supplier? What is the time between orde..
The revenue R in dollars for the sale of x items at Joe's Dollar Store can be modeled by the equation R = 1400x – 5x2. What number of items would provide a revenue of $16,080?
find the adjusted balance due at maturity for 90 day note of 18000 at 131 ordinary interest is a partial payment of
if a plane can travel 490 mph with the wind and 430 mph against the wind , what is the speed of the plane in still air?
Find the unit vectors in the directions of the steepest descent and the steepest ascent at (2, 4). Mark these directions on the graph in (b). Verify that the gradient at (2, 4) is orthogonal to the level curve through this point.
Find the volume using shell method? Rotate the region bounded by y=x and y=x^2 about the y-axis. The answer is 3pi/10. Please explain.
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