Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Trigonometry (MindTap Course List)
91E92E93E94E95E96E97EDetermine the number of solutions of the equation x3+9x=0.2ECP3ECP4ECP5ECPFind a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.1E2E3EFill in the blanks. The quantity under the radical sign of the Quadratic Formula, b24ac, is the .5E6E7E8EUsing the Discriminant In Exercises 9-14, use the discriminant to find the number of real and imaginary solutions of the quadratic equation. 2x25x+5=0Using the Discriminant In Exercises 9-14, use the discriminant to find the number of real and imaginary solutions of the quadratic equation. 14x25x+25=0Using the Discriminant In Exercises 9-14, use the discriminant to find the number of real and imaginary solutions of the quadratic equation. 4x2+12x+9=012E13E14E15E16ESolving a Quadratic Equation In Exercises 15-24, solve the quadratic equation. Write complex solutions in standard form. 22xx2=0Solving a Quadratic Equation In Exercises 15-24, solve the quadratic equation. Write complex solutions in standard form. x2+10+8x=0Solving a Quadratic Equation In Exercises 15-24, solve the quadratic equation. Write complex solutions in standard form. x28x+16=020E21ESolving a Quadratic Equation In Exercises 15-24, solve the quadratic equation. Write complex solutions in standard form. x2+16x+65=023E24E25E26E27E28E29E30E31E32E33EFinding the Zeros of a Polynomial Function In Exercises 33-48, write the polynomial as a product of linear factors and list all the zeros of the function. fx=t3+25t35E36E37E38E39E40E41EFinding the Zeros of a Polynomial Function In Exercises 33-48, write the polynomial as a product of linear factors and list all the zeros of the function. hx=x34x2+16x6443E44E45EFinding the Zeros of a Polynomial Function In Exercises 33-48, write the polynomial as a product of linear factors and list all the zeros of the function. hx=x4+x3+100x2+100x47EFinding the Zeros of a Polynomial Function In Exercises 33-48, write the polynomial as a product of linear factors and list all the zeros of the function. fx=x4+29x2+100Finding the Zeros of a Polynomial Function In Exercises 49-58, use the given zero to find all the zeros of the function. FunctionZerofx=x3x2+4x42i50E51E52E53E54EFinding the Zeros of a Polynomial Function In Exercises 4958, use the given zero to find all the zeros of the function. FunctionZerogx=x38x2+25x263+2i56EFinding the Zeros of a Polynomial Function In Exercises 4958, use the given zero to find all the zeros of the function. FunctionZerohx=x42x3+8x28x+161+3iFinding the Zeros of a Polynomial Function In Exercises 4958, use the given zero to find all the zeros of the function. FunctionZerohx=x46x3+14x218x+912i59E60EFinding a Polynomial Function with Given Zeros In Exercises 5964, find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 2,2,1+iFinding a Polynomial Function with Given Zeros In Exercises 5964, find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 1,5,32iFinding a Polynomial Function with Given Zeros In Exercises 5964, find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 23,1,3+2iFinding a Polynomial Function with Given Zeros In Exercises 5964, find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 52,5,1+3iFinding a Polynomial Function with Given Zeros In Exercises 6570, find the polynomial function f with real coefficients that has the given degree, zeros, and function value. DegreeZerosFunctionValue32,if(1)=6Finding a Polynomial Function with Given Zeros In Exercises 6570, find the polynomial function f with real coefficients that has the given degree, zeros, and function value. DegreeZerosFunctionValue42,1,if(0)=4Finding a Polynomial Function with Given Zeros In Exercises 65-70, find the polynomial function f with real coefficient that has the given degree, zeros, and function value. DegreeZerosFunctionvalue42,if0=4Finding a Polynomial Function with Given Zeros In Exercises 6570, find the polynomial function f with real coefficients that has the given degree, zeros, and function value. DegreeZerosFunctionValue41,2,2if(1)=12Finding a Polynomial Function with Given Zeros In Exercises 6570, find the polynomial function f with real coefficients that has the given degree, zeros, and function value. DegreeZerosFunctionValue33,1,3if(2)=12Finding a Polynomial Function with Given Zeros In Exercises 6570, find the polynomial function f with real coefficients that has the given degree, zeros, and function value. DegreeZerosFunctionValue32,12if(1)=1271E72EFinding a Polynomial Function In Exercises 7174, find a cubic polynomial function f with real coefficients that has the given complex zeros and x -intercept. (There are many correct answers.) ComplexZerosx-Interceptx=25i(2,0)Finding a Polynomial Function In Exercises 7174, find a cubic polynomial function f with real coefficients that has the given complex zeros and x -intercept. (There are many correct answers.) ComplexZerosx-Interceptx=13i(4,0)Writing an Equation The graph of a fourth-degree polynomial function y=fx is shown. The equation has 2i as zeros. Write an equation for f.Writing an Equation The graph of a fourth-degree polynomial function y=fx is shown. The equation has 5i as zeros. Write an equation for f.77E78EProfit The demand equation for a microwave oven is given by p=1400.0001x, where p is the unit price (in dollars) of the microwave oven and x is the number of units sold. The cost equation for the microwave oven is C=80x+150,000, where C is the total cost (in dollars) and x is the number of units produced. The total profit P obtained by producing and selling x units is modeled by P=xpC. (a) Find the profit function P in terms of x. (b) Find the profit when 250,000 units are sold. (c) Find the unit price when 250,000 units are sold. (d) Find (if possible) the unit price that will yield a profit of 10 million dollars. If not possible, explain why.Physiology Doctors treated a patient at an emergency room from 2:00P.M.to7:00P.M.. The patient’s blood oxygen level L (in percent form) during this time period can be modeled by L=0.270t2+3.59t+83.1,2t7 where t represents the time of day, with t=2 corresponding to 2:00P.M.. Use the model to estimate the time (rounded to the nearest hour) when the patient’s blood oxygen level was 93.81E82E83EError Analysis Describe the error in finding a polynomial function f with real coefficients that has 2,3.5, and i as zeros. A function is fx=x+2x3.5xi.Finding a Quadratic Function Find a quadratic function f (with integer coefficients) that has the given zeros. Assume that b is a positive integer and a is an integer not equal to zero. (a) bi (b) abiHOW DO YOU SEE IT? In parts (a)-(c) use the graph to determine whether the discriminant of the given equation is positive, zero, or negative. Explain. (a) x22x=0 (b) x22x+1=0 (c) x22x+2=087EThink About It In Exercises 8792, determine (if possible) the zeros of the function g when the function f has zeros at x=r1,x=r2, and x=r3. gx=4fx89E90E91E92EPlot z=34i in the complex plane and find its absolute value.2ECP3ECP4ECP5ECP6ECP1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26EAdding in the Complex Plane In Exercises 21-28, find the sum of the complex numbers in the complex plane.28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57EWrite the complex number z=66i in trigonometric form.Write the complex number z=3+4i in trigonometric form.Write z=2cos150+isin150 in standard form a+biWrite z=8cos23+isin23 in standard form a+bi5ECP6ECP7ECP1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26EWriting a Complex Number in Standard Form In Exercises 2736, write the standard form of the complex number. Then plot the complex number. 2(cos60+isin60)Writing a Complex Number in Standard Form In Exercises 2736, write the standard form of the complex number. Then plot the complex number. 5(cos135+isin135)29E30E31E32E33E34E35E36E37E38EWriting a Complex Number in Standard Form In Exercises 37-40, use a graphing utility to write the complex number in standard form. 2cos155+isin15540E41E42E43E44EMultiplying Complex Numbers In Exercises 41-46, find the product. Leave the result in trigonometric form. cos80+isin80cos330+isin33046E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E1ECP2ECP3ECP1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32EFinding the Square Roots of a Complex Number In Exercises 3138, find the square roots of the complex number. 3i34E35E36E37E38EFinding the nth Roots of a Complex umber In Exercises 3956, (a) use the formula on page 344 to find the roots of the complex number, (b) write each of the roots in standard form, and (c) represent each of the roots graphically. Square roots of 5cos120+isin12040E41EFinding the nth Roots of a Complex umber In Exercises 3956, (a) use the formula on page 344 to find the roots of the complex number, (b) write each of the roots in standard form, and (c) represent each of the roots graphically. Cube roots of 64cos3+isin343E44EFinding the nth Roots of a Complex umber In Exercises 3956, (a) use the formula on page 344 to find the roots of the complex number, (b) write each of the roots in standard form, and (c) represent each of the roots graphically. Fourth roots of 81i46E47E