Compute the local and global minima of 𝗳(𝘅) ?

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Compute the shaded area, (the overlapping area), ?

Algebra.✍️. If (𝗿) and (𝗿² - 6) are the roots of x² + 𝗯x + 𝗰 , then what is the maximum possible value of (𝗯 + 𝗰) ?.

Compute the shaded fraction of ∆ABC ?

Compute the shaded area ?

Prove that ∠BAC is greater than 60°.

𝗣 = ?.(𝗣 divides the segment internally in the ratio 1 : 2)

Compute the area of triangle ABC ?.(Note that points A, B, & C are the centers of the Red, Blue, and Green equilateral triangles)

Compute.✍️. (1×2×3) + (2×3×4) + ∙ ∙ ∙ + (18×19×20).

∠BAD = _____ °

Let 𝘅, 𝘆 be real numbers such that. 𝘅 + 𝘆 = 2. 𝘅⁴ + 𝘆⁴ = 1234. 𝘅𝘆 = _____.

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If | 𝘅 | ≤ 4 , find the number of 𝐫𝐞𝐚𝐥 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧𝐬 to the equation { 𝘅 } + { 𝘅² } = 1 , where { 𝘅 } = 𝘅 − ⌊ 𝘅 ⌋. Note:.The floor of a real number 𝘅, denoted ⌊ 𝘅 ⌋, is the greatest integer less than or equal to 𝘅.

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Compute the area of blue square ?

Prove that θ = 90°

i) Write 𝗞 in terms of 𝗫.ii) What are the possible values of 𝗫, where 𝗫 is an integer multiplier of 𝐒 (surface area) ?

Easy. Find the range of angle θ ?