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A motor boat takes Six hours to cover 100 km downstream and 30 km upstream. If the motor boat goes 75 km downstream and returns back to its starting point in 8 hours, find the speed of the motor boat in still water and the rate of the stream
Determine y′′ for x 2 + y 4 = 10 Solution: We know that to get the second derivative we required the first derivative and to get that w
x+3=2
what is the ratio of sides of a right angle triangle which are in A.P
Vertical Tangent for Parametric Equations Vertical tangents will take place where the derivative is not defined and thus we'll get vertical tangents at values of t for that we
Prove that sec 2 θ+cosec 2 θ can never be less than 2. Ans: S.T Sec 2 θ + Cosec 2 θ can never be less than 2. If possible let it be less than 2. 1 + Tan 2 θ + 1 + Cot
What is Angle Pairs in Parallel Lines ? Next, we introduce several angle pairs formed by transversals which are very important in our study of geometry. Alternate interior an
If a telephone pole weighs 11.5 pounds per foot, how much does a 32-foot pole weigh? Multiply 11.5 by 32; 11.5 × 32 = 368 pounds.
The quotient of 3d 3 and 9d 5 is The key word quotient means division so the problem becomes 1d 3 -5/ 5. Divide the coef?cients: 1d 3 /3d-5 . While dividing like bases, subt
round to the nearest ten to estimate , 422+296
A circle touches the side BC of a triangle ABC at P and touches AB and AC when produced at Q and R. Show that AQ= 1/2 (perimeter of triangle ABC) Ans: Since the length o
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