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Of all rectangles with a perimeter of 23, which one has the maximum area? (Give the...
Of all rectangles with area 100, which one has the minimum perimeter? Let P and w...
Of all rectangles with area 100, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively, of the rectangle. Write the objective function in terms of P and w. Assume that the width is less than the length if the dimensions are unequal. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) Of all rectangles with area 100, the one with...
please answer all C. 2. What rectangle has the smallest perimeter, for a given area? Suppose...
please answer all
C. 2. What rectangle has the smallest perimeter, for a given area? Suppose you want a rectangle with area 200. What choice of length L and width W will give the smallest perimeter? a. Sketch a rectangle and label it as having length L and width W. b. Write the area in terms of length and width: A = Write the perimeter in terms of length and width: P = d. If L = 200 and W...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? yards and a width of yards. A rectangle that maximizes the enclosed area has a length of The maximum area is square yards Enter your answer in each of the answer boxes. The function f(x)=x® - 3 is one-to-one. Find an equation for f '(x), the inverse function. (Type an expression for the...
2-5x 3+2x The function fx)i on-to-one (a) Find the inverse of f (b) State the domain...
2-5x 3+2x The function fx)i on-to-one (a) Find the inverse of f (b) State the domain and range of f. (c) State the domain and range of f (a) What is the inverse of f? Simplify your answer. Use integers or fraction for any numbers in the expression.) (b) What is the domain and range of f? The domain of fis (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The range of...
please answer all parts CORRECTLY. this is 1 complete problem w/ multiple parts. please do all...
please answer all parts CORRECTLY.
this is 1 complete problem w/ multiple parts. please do all
.
thank u for your help.
For the quadratic function f(x) = 2x2 - x +5, answer parts (a) through (1) (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down. The vertex is 0 (Simplify your answer. Type an ordered pair, using integers or fractions.) What is the equation...
Find the inverse function of the function f. Find the range off and the domain and...
Find the inverse function of the function f. Find the range off and the domain and range of f(x) = 7 sin (5x-3); Find the inverse, " off. (Simplify your answer. Use integers or fractions for any numbers in the expression.) The range of f(x)is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
Find any relative extrema of the function. List each extremum along with the x-value at which...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed o...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
Of all rectangles with area 100, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively, of the rectangle. Write the objective function in terms of P and w. Assume that the width is less than the length if the dimensions are unequal. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) Of all rectangles with area 100, the one with...
please answer all
C. 2. What rectangle has the smallest perimeter, for a given area? Suppose you want a rectangle with area 200. What choice of length L and width W will give the smallest perimeter? a. Sketch a rectangle and label it as having length L and width W. b. Write the area in terms of length and width: A = Write the perimeter in terms of length and width: P = d. If L = 200 and W...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? yards and a width of yards. A rectangle that maximizes the enclosed area has a length of The maximum area is square yards Enter your answer in each of the answer boxes. The function f(x)=x® - 3 is one-to-one. Find an equation for f '(x), the inverse function. (Type an expression for the...
2-5x 3+2x The function fx)i on-to-one (a) Find the inverse of f (b) State the domain and range of f. (c) State the domain and range of f (a) What is the inverse of f? Simplify your answer. Use integers or fraction for any numbers in the expression.) (b) What is the domain and range of f? The domain of fis (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The range of...
please answer all parts CORRECTLY.
this is 1 complete problem w/ multiple parts. please do all
.
thank u for your help.
For the quadratic function f(x) = 2x2 - x +5, answer parts (a) through (1) (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down. The vertex is 0 (Simplify your answer. Type an ordered pair, using integers or fractions.) What is the equation...
Find the inverse function of the function f. Find the range off and the domain and range of f(x) = 7 sin (5x-3); Find the inverse, " off. (Simplify your answer. Use integers or fractions for any numbers in the expression.) The range of f(x)is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
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