Problem 7. Solve for all real values of that make the following equality true: In( 22) + (In x) = ln(24). Problem 8. Sim

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Problem 7 Solve For All Real Values Of That Make The Following Equality True In 22 In X Ln 24 Problem 8 Sim 1 (59.57 KiB) Viewed 62 times

Problem 7. Solve for all real values of that make the following equality true: In( 22) + (In x) = ln(24). Problem 8. Simplify the following expression as far as you can: csc(2) sec() - cot (2) Problem 9. Let f be a function such that f(x) = x2 - 1. Evaluate and simplify the following expression: (A + B) - (A) B Problem 10. Let / and 9 be functions such that f(x) + 1 and 9(x) = 1 - 2. Evaluate (fog)(x - 1). Problem 11. Two numbers x and y are such that their sum is one less than their product. Write y as a function of 2. Problem 12. A rectangle is both concentric and inscribed inside a circle of radius R. Write a function describing the area A of the rectangle in terms of the width w of the rectangle. It may also depend on R. Problem 13. A standing lamp post has height L with a lamp on top. A person of height P is standing at a distance d away from the lamp post, to which a shadow is cast on the ground. Assume LP. Write a function describing the length of the shadow S in terms of d. Note the function (d) may also depend on L and P. Problem 14. Sketch out all points (2,y) that satisfy the given equations. Use arrows to indicate parts of your sketch that do not terminate. Also for each, state its domain and range, and whether your sketch is a function or not. (1) 3x + 2y = 2 (2) y = x + 11-11 (3) 22 + 2x + y = 8