Question: Use the Intermediate Value Theorem to verify each of the following statements. (a) The equation cos(x) = cos1 (x) has at least one real solution

Use the Intermediate Value Theorem to verify each of the following statements. (a) The equation cos(x) = cos1 (x) has at least one real solution in the interval (0; 1). Hint: Apply the IVT to the function f(x) = cos^-1(x) on the interval [0; 1]: (b) The equation e x + ln(x) = 0 has at least one real solution

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