Given below are two statements:
Statement I: In a floral formula, \(\oplus\) stands for zygomorphic nature of the flower, and \( G \) stands for the interior ovary.
Statement II: In a floral formula, \(\oplus\) stands for actinomorphic nature of the flower, and \( G \) stands for the superior ovary.
In light of the above statements, choose the correct answer from the options given below:
Identify the types of aestivation in corolla labelled as 'a', 'b', 'c' and 'd'
List-I | List-II |
A. Vexillary aestivation | I. Brinjal |
B. Epipetalous stamens | II. Peach |
C. Epiphyllous stamens | III. Pea |
D. Perigynous flower | IV. Lily |
A 3 kg block is connected as shown in the figure. Spring constants of two springs \( K_1 \) and \( K_2 \) are 50 Nm\(^{-1}\) and 150 Nm\(^{-1}\) respectively. The block is released from rest with the springs unstretched. The acceleration of the block in its lowest position is ( \( g = 10 \) ms\(^{-2}\) )
Evaluate the integral: \[ \int \frac{3x^9 + 7x^8}{(x^2 + 2x + 5x^9)^2} \,dx= \]