Let f be a real-valued function that is continuous on [0, 1] and differentiable on (0, 1) and let g be a function defined on (0, 1] by g(x) = f(x) == x. if f(0) = 0, $(") == and f(1) = 0, (i) show that there exists c ir such that g(c)=0.
(ii) determine whether the equation g'(x) = 0 has any real root in (0,1). justify your answer.

If angle b measures 25°, what is the approximate perimeter of the triangle below? 10.3 units 11.8 units 22.1 units 25.2 units

In the diagram below,abc is congruent to dec what is the value of x

An architect builds a model of a park in the shape of a rectangle. the model is 40.64 centimeters long and 66.04 centimeters wide. one inch equals 2.54 centimeters. use the ratio table to find the ratio of the length to the sum of the length and width in inches and in simplest form. length 40.64 width 66.04 a. 8: 21 b. 13: 21 c. 21: 13 d. 21: 8