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- A triangle is formed by the coordinate axes and a line through the point (2,1), as shown in the figure. The value of y is given by y=1+2x2 Write the area A of the triangle as a function of x. Determine the domain of the function in the context of the problem. Sketch the graph of the area function. Estimate the minimum area of the triangle from the graph.A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep and the margins on each side are 2 inches wide (see figure). (a) Show that the total area A of the page is A=2x(x+11)x4 (b) Determine the domain of the function based on the physical constraints of the problem. (c) Use a graphing utility to graph the area function and approximate the dimensions of the page that use the least amount of paper. Verify your answer numerically using the table feature of the graphing utility.SOLVE STEP BY STEP IN DIGITAL FORMAT
- x-2 -1 lim X-3 x+3 Find the limitTopic: Maxima-minima/optimization problems: Algebraic Functions A farmer wants to enclose a rectangular field with 1200 meters of fencing. What is the maximum area that can be enclosed? Show complete solutions which show the following: Given Required FBD Solution CheckingConsider the formula and find the limit! This is a calculus problem Problem is on a separate picture f(x)= 1 / x+6 Find Deltax-->0 f(x+delta x) -f(x) / delta x
- Identify the x-values of all points where the graph in Figure has relative extreman 2.2 - Precalcu x A https://go.view.usg.edu/d21/le/content/2035060/viewContent/37251887/View omework Lesson 2.2 口 Question Based on the degree of the polynomial f(x) given below, what is the maximum number of turning points the graph of f(x) can have? f(x) = -4-3x - 222-2z- 2z-2z7 +4r + 4x° Provide your answer below: B FEEDBACK MORE INSTRUCTION SUBMIT Content attribution ere to search hp 101 40 144 144 6. 8. 00lim 2. 1 a Solution: The limit of the given function in the numerator and denominator is 0 which implies that it has in connection with indeterminate forms. By applying the concept of rationalizing the numerator, (note that rationalization can be ap- plied in the numerator or denominator where the radical expression located) Multiply both numerator and denominator by the conjugate Apply sum and difference in multiplying the expres- sions in the numerator 243-4 -1)(+2) Simplify the expression with exponent in the numerator NG E Simplify 3-4 = -1 (2) Cancel xe - 1 Therefore, +3-2 2-1 linm +2) E Leaning Task 3: Evaluate the limits of the given exponential, logarithmic and trigonometric function ( m items 8– 10 15 in radian measure) lim(3-3+5) 1. 4 ALASE lim (in 2x + 5) + 4 6. ** lim(125-+ +2) lim log:(x-8x -1) 2. *-5 7. *+5 Him+ lim 4 sin(x +7) +3 8. 3. 1 lim 4. 3 lim cos++ 9. at Sar+2 lim log lim tanG+5+ +6 5. 10. Learning Task 4: Evaluate the limit of a function using the concept of…