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Area Problem Now It is time to start second kind of integral: Definite Integrals. The area problem is to definite integrals what tangent & rate of change problems are to d
If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans: AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A
1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving
Describe Multiplication of two vectors.
Both need to be a full page, detailed proof. Not just a few lines of proof. (1) “Every convergent sequence contains either an increasing, or a decreasing subsequence (or possibly
Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
log base 5 (3-2x) + log base 5 (2+x) = 1
Figure shows the auto-spectral density for a signal from an accelerometer which was attached to the front body of a car directly above its front suspension while it was driven at 6
What is the largest number (in decimal) that can be made with 6 bits?
Explain Expressions ? "One set of absolute value signs can only take the absolute value of one number." For example, For the absolute value of negative six plus three,
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