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Taking the given equation,y = x3+2x-4Differentiating the above function with respect to x, we have,Given that the tangents to the given curve are perpendicular to the line x+ 14y + 3 = 0Slope of this line, m2=-1/14Since the given line and the tangents to the curve are perpendicular, we have,m1 x m2 =-1thus equation of the tangent is 14 x- y =-12

The order from Berlin caused the following changes in the school that day:
(i) The school and all other things were quiet like Sunday Morning.
(ii) The whole school seemed very strange and solemn.
(iii) M. Hamel had put on his finest dress which he wore only on inspection and prize days of school.
(iv) The Village people came and sat silently on the back benches in school room to thank the teacher for his services that way.
(v) It upset all the students and their teacher. All the schools of Alsace and Lorraine would teach German and the new master would come the next day. For the student

121 = 112 = Sum of first 11 odd numbers         =  1 + 3+ 5 +7 +9 + 11 + 13 + 15 + 17 + 19 + 21

Lomov is concerned about his marriage because he is already thirty-five. So he thinks he ought to lead a quiet and regular life. He wants to be settled. Moreover, he is not perfectly fit and healthy. He suffers from anxiety, palpitations and strange fear.