Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave your answer in factored form. (-) = 0

Q: c notation and fractions where needed.)

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Q: Answer: 0 Evaluate sin(x+ y)dxdy.

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Q: 5. Graph the linear inequality on the graph. x<-4

A: Given data÷

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Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: 11. Identify the correct mapping rule for the following transformed function: * f (x) = -V-2 (x + 6)...

A: The objective is to identify the correct mapping rule. 

Q: Evaluate each of the following: 1. ſ cot 2v dv

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 1. Find the general solution of the differential equation: d°y d'y dy , dy - - dx6 dæ3 dx2

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Q: 6. |x²e-2*dx

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Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: 3. c ² +7z+10 dz, C: |F|=1

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Q: R= {y = x^3 + 1, x=1, x-axis}   Can you help me answer this? And explain how did you get the answe...

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point  y = x3 + 1 When  x = 1 y = 1...

Q: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions des...

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Q: E2-3

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Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

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Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

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Q: Write the equation in spherical coordinates. (a) 5z2 3x2 + 3у2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: topic - vectors

Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: Find the area of the triangle with vertices P(1, 5, –4), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exa...

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: In Exercises 1-4, use the comparison test to confirm the statement. 1. 2 diverges, so diverges. n-3 ...

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: 1. Approximate the area under the curve of y = e¯** from x = 0 to x = 1 using: a. R4 h Le %3D

A: Reimann sum

Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

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Q: (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in b...

A: Here are the answers  1) y=1.595(1.086)x  2) 29522.6038 3) 2034  Here is the complete answer for the...

Q: The length l, width w, and height h of a box change with time. At a certain instant the dimentions a...

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Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² - y) dy = 0 O 2r? ...

A: Given

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A: We have to solve for the area by integration. 

Q: 2. 2x Vx-2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Graph the system of inequalities. Rewrite each inequality into y=mx+b form 4x+ 3y>-6 I-3y<-9

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Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" (3n)! n = 1

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" Σ n6" n = 1

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Q: Use the triangle to find each half angle. 25 24 () - tan () - sin cos 24 24 :: :: :: 1 :: 25 25 7 3/...

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Q: P L A B Use the method above to find the distance from the point P(-3,1,8) to the line through A(1, ...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -3i + 8j - k v = 3i + j - k O pa...

A: Two vectors u and v are orthogonal if and only if u.v =0 .

Q: s3 + 3s2 – 12s + 4 e) lim s-2 s3 - 4s x- V3x + 4 f) lim x4 4 - x x² + 4 – 2 g) lim

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Q: Graph the function f(x) = x+4/x Graph the secant line that passes through the points (1,5) and (8,8....

A: To graph the function fx=x+4x.To graph the secant line that passes through the points 1, 5 and 8, 8....

Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it.