The graph of the function fon the interval 0sxs 9 consists of three line segments and the point (4, -4), as shown in the figure. It is given that g(x)dx-6 and y 4 3 1 -1 -2 -3 -4 -5 1 0 12 3 5 6 7 8 9 10 4 Part A: Find the value of Crondx or explain why the integral does not exist. Part B: Find the value of Cg)d Show the work that leads to your answer. ( Part C: Find the value ot C1200x)-rox]dx. Show the work that leads to your answer.

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: The graph of the function f(x)=25-x² is given below. Which of the following definite integrals…

A: we use integration method to find area given  f(x)=25-x2formula for area is A=∫abf(x)dx

Q: Find all the values of r for the given function defined by y = r³ – 12x where the tangent line is…

A:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: 4. Find the indefinite integrals. What should u be? a. (2x+6)³ dx · √ (3x² − 1)ex³-xdx - 1 b. / 3x²+…

A: Step 1: Basic integration formula used: ∫undu=n+1un+1​+C Step 2:Step 3:Step 4:Step 5:

Q: Consider a decreasing differentiable function g : R, → R, and an increasing continuous function f :…

A: One of the basic requirements for a function to be differentiable over an interval is that the…