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a. If f(x) = sinx, use a linear approximation from x = 0, to approximate f(1). b. Use a calculator to find the actual
a. If f(x) = sinx, use a linear approximation from x = 0, to approximate f(1). b. Use a calculator to find the actual value of f(1). c. based on your answers to part a and b, is f(x) concave down or concave up on the interval [0,1]? 2. a. If f(x)=x, use a linear approximation from x = 4, to approximate f(6). b. Use a calculator to find the actual value of f(6). c. Based on your answers to part a and b, is f(x) concave down or concave up on the interval [4,6]? 3. a. If f(x) = ex, use a linear approximation from x = 0 to approximate f(1). b. Use a calculator to find the actual value of f(1). c. Based on your answers to part a and b, is f(x) concave up or concave down on the interval [0,1]. 4. a. If f(2)= 7 and f'(2) = -2, use a linear approximation at x = 2 to estimate f(4). b. If f(4) = 6.8, Is f(x) concave up or down on the interval [2,4]? 5. a. If f(-1) = 5 and f'(-1) = , use a linear approximation at x = -1 to estimate f(0). b. if f(0) = 5.1, Is f(x) concave up or concave down?
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