Use the compound interest formula to find the future value A, for the following values. P = 3000 i = 0.09 n = 35 Solution:- A = P(1+i)n…
Month: July 2015
Problem 898
The given point is on the curve. Find the lines that are a. Tangent b. Normal to the curve at the given point. x2 +xy – y2 = -4 ,(2,4)…
Problem 897
Find the derivative of the function s = sin(3t)- cos(7t). Solution:- Use the rules of differentiation to find . s = sin(3t)- cos(7t). = To find sin(3t) and…
Problem 896
Find y= 6(cos x+sin x) (cos x – sin x ) Solution:- = -24 sin x cos x
Problem 895
The value V = πr3 of a spherical balloon change with the radius. a. At with rate (ft3/ft) dose the volume change with respect to the radius when r =…
Problem 894
A body moves on a coordinate line such that it has a position s= f(t) = t2-5t+4 on the interval 0 ≤t≤8, with in meters and t in seconds. a.…
Problem 893
An object is dropped from the top of a cliff 650 meters high. Its height above the ground t seconds after is dropped is 650 – 4.9t2. Determine its speed…
Problem 892
Find an equation for the line tangent to y = -3 – 3×2 at (-2,-15). Solution:- The equation for the line tangent to y = -3 – 3×2…
Problem 891
Estimate the slope (in y-units per x-unit) of the tangent line to the curve. Solution:- First look at the tangent line on the curve. When moving from left…
Problem 890
Define g(7) for the given function so that it is continuous at x = 7. g(x) = Solution:- The function g(x) = is undefined when the denominator is…
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