College of Natural and Computational Science1. Let p(x) =x'+2x-10x+22x-15 Given that I+V2i is a zero. Then find the2. Let (x-2), (x – 3) and (x + 4) are factors of the polynomial x + ax+ bx+c 1henBasic Mathematics for Social Sciences (Math 1011)AL FOWolaita Sodo UniversityDepartment of MathematicsIndividual Assigamentother zero of p(x).find the values of a, b and c.3. Draw the graph of the following rational functiona) f(x) = b) f(x) =x2-x-2-5x+6x%3Dx2-x-6x+x-24. Find the inverse of f(x)=e-)5. Find the domain and range of the following functions.a) f(x)=1+8x-2x'b) f(x) = Vx² - 6x+8c) S(x) =x-5x +6[3x-5. x<1-1, x21b) S(1)7. Solve log,(2 log3(1+ log2(1+3 log ))) ==6. Given f(x) =Find a) f(-3)c) f(6)3f(x)+1f(x)+3x-18. If f is a real function defined by f(x)= Show that f(2x) =x+19. Let f(x)= 2". Show that f(x+ 3) = 8f (x).10. Sketch the graph of the given function and identify the domain, range, intercepts andasymptotes.a) f(x)= log, (x-3) b) f(x)=-3+ log, x11. Sketch the graph of a) f(x)=1+cosx b) f(x)= sin(x+ 5)c) f(x)= tan 2.x(3212. Find the inverse of matrix A =1 -1 012113. Solve the folowing systems of linear equations (if possible) by usingi) Gaussian elimination method ii) Matrix inversion method i) Cramer's rule3x, + 2x2 + 4x3 = 1a) 2x, - 2x2 + x, = 0X1 + X2 + x3 = 9X-2x3+3x,-9b) 2x, + 4x + -3x, 1 c)-x, +3x, -42x-5x2+5x =17X + 2x, + 3x3 = 13x, +6x2-5x, =0

Reupload other questions according to bartleby guidelines

1. Let p(x) =x'+2x-10x + 22x-15 Given that 1+v2i is a zero. Then find the Basic Mathematies for Social Seiences (Math 1011) Individual Assigament other zero of p(x). 2. Let (x-2) (T the polynomial +bx+c Then

1. Let p(x) =x'+2x-10x + 22x-15 Given that 1+v2i is a zero. Then find the Basic Mathematies for Social Seiences (Math 1011) Individual Assigament other zero of p(x). 2. Let (x-2) (T the polynomial +bx+c Then

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 66E

See similar textbooks

Related questions

Q: Onelogin - Section 104 Homework…

A: Given curve, r=2+3cosθ

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: By using the Shell Method to compute the volume of the solid obtained by rotating the region in the…

Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum

Q: for the following differential equation (assume zero initial conditions), write the state variables…

A: Solution: Given

Q: 5 (b). ( the base radius making the surface area minimum. ) Consider a cylinder having fixed volume.…

A: Use the application of derivative to minimise the surface area.

Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

Q: dy 3y- + 4x = 0 dx

Q: Find the exponential function that contains the points (2,48) and (3,192).

Q: Which of the following theorems establishes a relationship between differentiation and integration O…

A: We have to find out relation

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | : 1 -dt 1 + t5…

Q: Find a formula for the nth term of the arithmetic sequence. a1 26, d = 8 %3D an

Q: H.W. Solve the fallowishg first order OE -3= \-yャメ- %3D y3 5-0 J2. Sinx

Q: 9) |x² cos(5x? )dx

Q: 2 tan(x)dx

A: This question is related to definite integration, we will solve it using given using given…

Q: Find the faur fourth root of (-16)

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) 1 ax +7 over the interval…

Q: = ky dx x = eky y =e-kx Option 2 Option 4 y = ekx x = e-ky Option 3 y=ekx

Q: 11. ſ sin? x cos² x dx

A: Given ∫sin2x cos2x dxTo find integration:

Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: Find the derivative of the function at Po in the direction of A. g(x, y) = x- (y/x) + V3 sec (2xy),…

A: we have to find directional derivative.

Q: This equation is an example for linear equations dy dx False O True O

Q: 125 and y = 10. y? y = x, x =

A: answer is in next step

Q: A rectangular box with a length of 10 feet and a volume of 110 cubic feet is to be made from two…

Q: Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

Q: Determine the derivative of y. y = ev12x+8 %D

Q: Determine the Laplace transform of the following function f(x) = x2 1.

Q: e-* dædy by changing the limits of integration appropriately. y/2 20. Evaluate

A: To evaluate the value of double integral.

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Find the equation of the sphere

Q: Find the area of the region inside the circle r = 36 sin 0 and outside the cardioid r = 12 + 12 sin…

Q: Solve the equation .11 y" + 3y' + 2y = x2

Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = 2, x= 3, y=0 about…

A: We have to find the volume of the solid.

Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

Q: Evaluate the limit. 10 lim x→1 х — 1 х2 + 8х — 9 Give your answer in exact form. If the limit does…

A: We have to check limit exist or doesn't exist

Q: This problem has two parts. The second part will appear after you answer the first part correctly.…

Q: This equation s . .differential equation dy y2 .2 dx ху Bernoulli Separable Homogenous Linear

Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

Q: TC 2 esin(xdx, for n=8 Evaluate: using (a) Trapezoidal method, (b) Simpsons Methoe

A: For (a), Trapezoidal Rule:

Q: [CLO-3] In the following question, FN represents the Nth Fibonacci number. F - 5 =

A: Follow the procedure given below.

Q: Find the limit.

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

Q: rd order st order C

Q: This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic…

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

Q: dy = ky dx x = eky y = e-kx Option 2 O Option 4 O y = ekx x = e-ky Optio n 2

A: The given equation is dy/dx=ky.

Q: ructure.com%2Fcalendar%23view name%3Dmont... r- Axis y Axis Find a different pair of polar…

Q: Use the Binomial Theorem to write the expansion of the expression. (r + 3s)3

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

Q: Q2/: Full the following blanks by the suitable solution (Undetermined Coefficients method) If y" +…

Question

College of Natural and Computational Science
1. Let p(x) =x'+2x-10x+22x-15 Given that I+V2i is a zero. Then find the
2. Let (x-2), (x – 3) and (x + 4) are factors of the polynomial x + ax+ bx+c 1hen
Basic Mathematics for Social Sciences (Math 1011)
AL FO
Wolaita Sodo University
Department of Mathematics
Individual Assigament
other zero of p(x).
find the values of a, b and c.
3. Draw the graph of the following rational function
a) f(x) = b) f(x) =
x2-x-2
-5x+6x
%3D
x2-x-6
x+x-2
4. Find the inverse of f(x)=e-)
5. Find the domain and range of the following functions.
a) f(x)=1+8x-2x'
b) f(x) = Vx² - 6x+8
c) S(x) =
x-5x +6
[3x-5. x<1
-1, x21
b) S(1)
7. Solve log,(2 log3(1+ log2(1+3 log ))) ==
6. Given f(x) =
Find a) f(-3)
c) f(6)
3f(x)+1
f(x)+3
x-1
8. If f is a real function defined by f(x)= Show that f(2x) =
x+1
9. Let f(x)= 2". Show that f(x+ 3) = 8f (x).
10. Sketch the graph of the given function and identify the domain, range, intercepts and
asymptotes.
a) f(x)= log, (x-3) b) f(x)=-3+ log, x
11. Sketch the graph of a) f(x)=1+cosx b) f(x)= sin(x+ 5)
c) f(x)= tan 2.x
(3
2
12. Find the inverse of matrix A =1 -1 0
12
1
13. Solve the folowing systems of linear equations (if possible) by using
i) Gaussian elimination method ii) Matrix inversion method i) Cramer's rule
3x, + 2x2 + 4x3 = 1
a) 2x, - 2x2 + x, = 0
X1 + X2 + x3 = 9
X-2x3+3x,-9
b) 2x, + 4x + -3x, 1 c)-x, +3x, -4
2x-5x2+5x =17
X + 2x, + 3x3 = 1
3x, +6x2-5x, =0

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage