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6. The function k is differentiable and concave down. It is known that k'(x) = 2k(x) + 1. Write an equation of the line tangent to & through k(2) = 3. Use the tangent line to approximate k(2.1). Is it an underestimate or overestimate? Explain. 7. Sand is deposited into a pile with a circular base. The volume V of the pile is given by V = . where r is the radius of the base, in feet. The circumference of the base is increasing at a constant rate of 5x feet per hour. When the circumference of the base is Ba feet, what is the rate of change of the volume of the pile, in cubic feet per hour? 8, Jevin's distance from the start of a jogging path can be modeled by J(s) = = 452 Ss + 10 Where / is measured in yards and s is the total number of steps jevin has taken. If jevin jogs at a constant rate of 100 steps per minute, find the rate that Jevin's distance from the start of the path is changing with respect to time, in yards per minute, when s = 200. 9. Given the table to the right, find lim / (x)-3x *-1 4x - f(x)