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Maximize Q = xy, where x and y are positive numbers such that x +9y2 =...
What two nonnegative real numbers with a sum of 30 have the largest possible product? Let...
What two nonnegative real numbers with a sum of 30 have the largest possible product? Let x be one of the numbers and let P be the product of the two numbers. Write the objective function in terms of x. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation) The numbers that have a sum of 30 and have the largest possible product are (Use a comma...
Of all rectangles with a perimeter of 23, which one has the maximum area? (Give the...
Of all rectangles with a perimeter of 23, which one has the maximum area? (Give the dimensions.) Let A be the area of the rectangle. What is the objective function in terms of the width of the rectangle, w? A= (Type an expression.) The interval of interest of the objective function is (Type your answer in interval notation. Use integers or simplified fractions for any numbers in the expression.) The rectangle that has the maximum area has length and width...
Consider the inverse cosine function, defined by y = cos º'xor y = arccos x. Complete...
Consider the inverse cosine function, defined by y = cos º'xor y = arccos x. Complete parts (a) through (d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any...
Write short answers. Consider the inverse tangent function, defined by y = tan - 4x, or...
Write short answers. Consider the inverse tangent function, defined by y = tan - 4x, or y= arctan x. Complete parts (a)-(d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions...
Complete parts a through f below to find nonnegative numbers x and y that satisfy the...
Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x + y = 87 and P=xy is maximized a. Solve x + y = 87 for y. y = b. Substitute the result from part a into the equation P=x?y for the variable that is to be maximized. P=O c. Find the domain of the function P found in part b. (Simplify your answer. Type...
Minimize Q= 6x² + 3y?, where x+y=9. х y= (Simplify your answer. Type an exact answer,...
Minimize Q= 6x² + 3y?, where x+y=9. х y= (Simplify your answer. Type an exact answer, using rac the expression.)
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...
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...
For what numbers x, - 2x sxs 2x, does cscx=1? Refer to the graph, which shows...
For what numbers x, - 2x sxs 2x, does cscx=1? Refer to the graph, which shows y = Csex in blue and y = sin x in red. In the interval - 25X52, what is the smallest value of x for which csc x = 1? Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) Within the given interval, what is the next x-value for which cscx =...
For the following function, a) give the coordinates of any critical points and classify each point...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identity intervals where the function is increasing or decreasing: c) give the coordinates of any points of infection, d) identity intervals where the function is concave up or concave down, and e) sketch the graph. 9x) x²64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary,...
What two nonnegative real numbers with a sum of 30 have the largest possible product? Let x be one of the numbers and let P be the product of the two numbers. Write the objective function in terms of x. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation) The numbers that have a sum of 30 and have the largest possible product are (Use a comma...
Of all rectangles with a perimeter of 23, which one has the maximum area? (Give the dimensions.) Let A be the area of the rectangle. What is the objective function in terms of the width of the rectangle, w? A= (Type an expression.) The interval of interest of the objective function is (Type your answer in interval notation. Use integers or simplified fractions for any numbers in the expression.) The rectangle that has the maximum area has length and width...
Consider the inverse cosine function, defined by y = cos º'xor y = arccos x. Complete parts (a) through (d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any...
Write short answers. Consider the inverse tangent function, defined by y = tan - 4x, or y= arctan x. Complete parts (a)-(d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions...
Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x + y = 87 and P=xy is maximized a. Solve x + y = 87 for y. y = b. Substitute the result from part a into the equation P=x?y for the variable that is to be maximized. P=O c. Find the domain of the function P found in part b. (Simplify your answer. Type...
Minimize Q= 6x² + 3y?, where x+y=9. х y= (Simplify your answer. Type an exact answer, using rac the expression.)
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...
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...
For what numbers x, - 2x sxs 2x, does cscx=1? Refer to the graph, which shows y = Csex in blue and y = sin x in red. In the interval - 25X52, what is the smallest value of x for which csc x = 1? Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) Within the given interval, what is the next x-value for which cscx =...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identity intervals where the function is increasing or decreasing: c) give the coordinates of any points of infection, d) identity intervals where the function is concave up or concave down, and e) sketch the graph. 9x) x²64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary,...
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