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A: I am attaching image so that you understand each and every step.
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- 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or round your answers to two decimal places. 1 a) tan² X- = 0 3 /2T b) 4sin²x-7 sinx + 3 = 0 3In Exercises 29–42, use the ProductRule or the Quotient Rule to find the derivative of the function.29. f (x) = (5x2 + 8)(x2 − 4x − 6)In Exercises 93–96, determine whether thestatement is true or false. If it is false, explain why or give anexample that shows it is false. 93. The slope of the tangent line to the differentiable function $f$ at the point $(2, f(2))$ is$$\frac{f(2+\Delta x)-f(2)}{\Delta x} .$$
- What are the five key points of the cosine function? ○ (0, 0), (90, 1), (180, 0), (270, −1), (360, 0) (0, 1), (90, 0), (180, −1), (270, 0), (360, 1) (0, 0), (90, −1), (180, 0), (270, 1), (360, 0) ○ (0, -1), (90, 0), (180, 1), (270, 0), (360, − 1)The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model P = 57.59e0.0051t where t represents the year, with t = 3 corresponding to 2003. (a) According to the model, is the population of Italy increasing or decreasing? Explain. Because the coefficient of the model is ---Select-.. , the population is ---Select--- (b) Find the populations of the country in 2003 and 2015. (Round your answers to three decimal places.) 2003 million 2015 million (c) Use the model to predict the populations of the country in 2027 and 2037. (Round your answers to three decimal places.) 2027 million 2037 million Need Help? Read It Watch It5. Sinty
- sech2(In x)21. Find the second derivative of: a. f(x) = ex² b. f (x) = In (3+2) Use logarithmic differentiation to find the derivative of: 22. f(x) = (2x + 3)²(x − 5x²) = (4x²) 23. g(x) = -3x (³√/2x-5) (6−5x)4 e-3x Homework Section 4.3 5Use the graph below to fill in the missing values. 5+ 4 3 2 fx} 2 f(0) = f(x) = 0, ¤ = f-'(0) = f-'(x) = 0, ¤ =