3. Find the values of a and b such that the following function is continuous at x =4. Justifyyour answer.bax? — Зах - 9x < 4|f(x) = { 56 + ax = 4бах — 13x > 4(a) Find f(4)4. Find the values of a and b such that the following function is continuous everywhere.Justify your answer.(a)ax² + 2bx19x < 2-f(x) =9.x = 24bx – 15x > 25. Use the Intermediate Value Theorem (IVT) to show that the equation below has a rootin the associated interval.(a)32x + x + x + 3 = 0(-2,0) Instructions42. The device shown below is the Atwood's machine considered in Example 6.5.Assuming that the masses of the string and the frictionless pulley are negligible, (a)find an equation for the acceleration of the two blocks; (b) find an equation for thetension in the string; and (c) find both the acceleration and tension when block 1 hasmass 2.00 kg and block 2 has mass 4.00 kg.

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3. Find the values of a and b such that the following function is continuous at x = 4. Justify your answer. bx? -Зах -9 х <4 f(x) = { 56 + a x = 4 бах — 13 x > 4 (a) Find f(4) 4. Find the values of a and b such that the following function is continuous everywhere. Justify your answer. (a) ax? + 2bx - 19 x < 2 f(x) = {9 x = 2 4bx 15 x > 2 5. Use the Intermediate Value Theorem (IVT) to show that the equation below has a root in the associated interval. (a) 2x + x2 + x+3 = 0 (-2,0)