MAT 1800 Midterm: MAT1800 Wayne State 1800 F15

18 views2 pages

turquoisegnu128

15 Feb 2019

School

Wayne State University

Department

Mathematics

Course

MAT 1800

Professor

All

For unlimited access to Study Guides, a Grade+ subscription is required.

Document Summary

All work must be shown in the provided. Only minimal credit will be awarded for answers without supporting work. Do not use a calculator: let xf. Find all the values of x , if any exist, such that. State your answer in interval notation: sketch a graph of the function xh. Find and simplify each of the following. x: let. 1 f is the inverse function of f : find the domain of the function xf log 8. State your answer in interval notation: find a polynomial. Xp of degree 4 with integer coefficients that has 1 as its only real zero, has i2 as a zero, and has a constant term of 8: let xr. Find the average rate of change of xr from x to a x ha and simplify your answer so that no single factor of h is left in the denominator: consider the polynomial function xp. 35 (a) list all the possible rational zeros of.

Related Questions

can you give a brief math and word explanation of each question? Thank you

Q18. A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 20). Find a formula for the inverse of the function described.
a. f ^-1(x) = (x - 20)/2
b. f ^-1(x) = x - 20
c. f ^-1(x) = (x/2) - 20
d. f ^-1(x) = (x/2) + 20

Q19. If f(x) = 4^x and g(x) = 12, find the point of intersection of the graphs of f and g by solving f(x) = g(x). Give an exact answer.
a. (log ₄ 12, 12)
b. (log ₄ 12, 4)
c. (log ₄ 12, 0)
d. (12, 12)

Q20. Find functions f and g so that f â g = H(x) = (5 - 2x³)².
a. f(x) = 5 - 2x³ ; g(x) = x²
b. f(x) = (5 - 2x)³ ; g(x) = x²
c. f(x) = x² ; g(x) = 5 - 2x³
d. f(x) = x³ ; g(x) = (5 - 2x)²

Q29. Solve the system of equations using Cramer's Rule if it is applicable.

a. x = 9, y = 2, z = 5; (9, 2, 5)
b. x = 8, y = 4, z = 5; (8, 4, 5)
c. x = 4, y = 5, z = 4; (4, 5, 4)
d. x = 8, y = -4, z = -5; (8, -4, -5)

Q30. Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

a. x = 2, y = 3, z = -7; (2, 3, -7)
b. x = 1, y = 3, z = -4; (1, 3, -4)
c. x = 5, y = 13/2, z = -3; (5, 13/2, -3)
d. x = 1, y = -3, z = -16; (1, -3, -16)

Q33. Write the partial fraction decomposition of the rational expression (4x³ + 4x²)/(x² + 5)².
a. (4x - 4)/(x² + 5) + (-20x + 20)/(x² + 5)²
b. (4x + 4)/(x² + 5) + (-20x - 20)/(x² + 5)²
c. (4x + 4)/(x² + 5) + (20x - 20)/(x² + 5)²
d. (4x + 4)/(x² + 5) + (20x + 20)/(x² + 5)²

Q34. Solve the linear programming problem. Minimize z = 11x + 6y + 7 subject to: x = 0, y = 0, x + y = 1.
a. minimum: 7
b. minimum: 18
c. minimum: 24
d. minimum: 13

Q35. Solve the system of equations by elimination.

a. x = 10, y = 0; (10, 0)
b. x = 10, y = 10; (10, 10)
c. x = 0, y = 10; (0, 10)
d. x = 0, y = 0; (0, 0)

Q36. Perform the row operations on the given augmented matrix.

a.
b.
c.
d.

Q37. Solve the system of equations using Cramer's Rule if it is applicable.

a. x = -4, y = 3; (-4, 3)
b. x = -3, y = -4; (-3, -4)
c. x = 4, y = 3; (4, 3)
d. x = 3, y = 4; (3, 4)

Q38. Write the partial fraction decomposition of the rational expression x/(x² - 9x + 20).
a. -4/(x - 4) + 5/(x - 5)
b. -5/(x - 4) + 4/(x - 5)
c. 4/(x - 4) + -5/(x - 5)
d. -4/(x - 4) + -5/(x - 5)

Q39. Solve the system of equations.

a. x = -4, y = 4, z = -3; (-4, 4, -3)
b. x = -3, y = 4, z = -4; (-3, 4, -4)
c. x = -4, y = -3, z = 4; (-4, -3, 4)
d. inconsistent

Q40. Find the value of the determinant.

a. 224
b. 24
c. -72
d. 72

Show transcribed image text

indigowildebeest263

GRAPH EACH FUNCTION BY COMPLETING THE SQUARE AND USINGTRANSFORMATIONS OF THE BASIC FUNCTION. LABEL THE VERTEX AND ALLINTERCEPTS (IF THEY EXIST), SHOW ALL WORKING OUT

1) f(x) = x^2+4x-5

2) H(x) = -x^2+8x-7

3) u(x) = 3x^2+6x-5

4) v(x) = 4x^2-24x+15

5) g(x) = -2x^2+9x-7

MAT 1800 Midterm: MAT1800 Wayne State 1800 F15

Document Summary

Get access

Related Documents

MAT 1800 Midterm: MAT1800 Wayne State 1800 F16

MAT 1800 Midterm: MAT1800 Wayne State 1800 W15

MAT 1800 Midterm: MAT1800 Wayne State 1800 F14

Related Questions