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Theorem, from Definition of Derivative If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a
y+7 3y-2 --- = 1 + ---- 3 5
Tangents with Polar Coordinates Here we now require to discuss some calculus topics in terms of polar coordinates. We will begin with finding tangent lines to polar curves.
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Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
Let's recall how do to do this with a rapid number example. 5/6 - 3/4 In this case we required a common denominator & reme
Illustration 1 In a described exam the scores for 10 students were given as: Student Mark (x) |x-x¯| A 60
LAST COST METHOD
cos30 is equal to what?
Sara's bedroom is within the shape of a rectangle. The dimensions are 2x and 4x + 5. What is the area of Sara's bedroom? Because the area of a rectangle is A = length times wid
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