Form a polynomial whose zeros and degree are given. Zeros: 8, multiplicity 1; -3, multiplicity 2; degree 3 Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below. f(x) = (Simplify your answer.)

Q: Given the differential equation, d'y dy -3x +4. dæ + 3y = e sin (), the proposed particular - dx? so...

A: We have to find the value of B. 

Q: 12. Given the graph of y = f(x) below, which of the following best represents the graph of y = (x +3...

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Q: The roots of 6x² +7x + 34 = 0 are: Real and Equal Real and Distinct Complex and Unequal Imaginary an...

A: These questions  are related to algebraic operations, we will solve it using given information. 

Q: traluate O T* 2T

A: To evaluate: L∫0tπ4e2πdπ Here, π is a variable. Formulas used: ddxxn=nxn-1∫exdx=exIntegration by par...

Q: 12. Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } wheren is an element of...

A: S be the set of numbers

Q: Solve the differential equation with appropriate method. 3xy2dx + (3x2y + 4y3)dy = 0

A: As per our guidelines we only solve 1st question and rest of the question should be reposted.

Q: dx -x - e

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Q: x' 3 3 4 27 -x+39 (2) For the function f(x)= (i) Determine the coordinates of the turning points. (i...

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Q: Sesame seeds are often used as a garnish in Asian dishes. However, they need to be toasted at 350°F ...

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Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as P(x)=(x+a...

A: Given query is to find the value of c.

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the equatio...

A: The given curve is: f(x)=6x+15-15ex

Q: Subtract. Simplify by collecting like radical terms, if possible. 7/7- 11/7 7./7 - 11/7 =O (Type an ...

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Q: Add. Simplify by collecting like radical terms, if possible. 2/3 +5/3 The answer is (Type an exact a...

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Q: For the differential equation 2xdy + (4y - xy) dx the substitution z= -2 converts it to which of the...

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Q: Given: x'(t) + 2y(t) = - 1 where, x(0) = y(0) = 0 x(t) - y'(t) = 2t Find : v(s) = L{y} 3 s(s² +2) s(...

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Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1) s...

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Q: Use the simple Euler method with step size h = 0-1 to obtain the approximate value of y(1-5) for the...

A: Given step size = 0.1dy/dx = xy1/2y(1) = 4We will find the approximate value of y(1.5) for the solut...

Q: Determine the solution to the initial value differential equation y'+ 8 y2 e4 x 0, y (0) = 9 y (x) =...

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Q: Solve the following and show your complete solution Find Maclaurin Series Expansion and Compact form...

A: First find the first, second and further derivatives to find a common term and then solve the proble...

Q: "dog 1) ]* dx 8. x(1+log²x) 2

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Q: Differentiate each function with respect to x. 3. f(x) = ln (-5x^2/4x^3+1)^2

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Q: Sketch the region that corresponds to the given inequalities. x + y 2 4 ys 1 x2 0, y 20 y y 20 20 20...

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Q: 2.Determine the convergence of the following series n+3 а. Ln=1 2n-1, b. E=1) 2n+1

A: Given:

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: Differentiate each function with respect to x. 29. f(x) = ln (-3x^2/x^5 + 4)^5

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Q: I. Use the tabular method to evaluate the limits. lim f(x) = (x² – 2x+ 4) x-1 f(x) 0.5 0.7 0.95 0.99...

A: topic - limits

Q: Suggested Title: New Note Edit 15 February 2022 at 5:00 pm zp /2 Integrate using trigonometric subst...

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Q: (2x - 3 if x0 Sketch this graph on the grid below. Is this function discontiruous? Tf yes, state whe...

A: The given function is,f(x)=2x-3if x≤02+x2if x>0

Q: A resistor of 500 ohms and an uncharged 5 x 106 farad capacitor are connected to a 100-volt battery....

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Q: Problem 3. Find the derivative of the following function I sec(1 +r') dt. sino) F(x) = F() D

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Q: x -y element of the set of paritive real numbers, then If is an x >y c, x² >yZ 9. d. All of the abov...

A: Here we will find the correct option,  

Q: TC 12) csc - 5T 14) cos 5T 16) cos 3 18) cos Co - 4. 4. 4.

A: NOTE: Refresh your page if you can't see any equations. .

Q: x² x² + x + 20

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Q: What is the significant difference in using u-substitution and integration by parts? Where is the be...

A: here we have to use the concept of u-substitution and integration by parts

Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area = 4....

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Q: Use logarithmic differentiation to find the derivative of y. 22) y = 1 B) - |(Inx - In(x - 7)) D) X-

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Q: 1. Consider the following graph of f(x) =(*-5x +3x+1) -15 -05 05 15 2,5 3/5 45 a. List any x-values ...

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for...

Q: Find the left most point on the upper half of the cardioid r=1+cos(theta)

A: we need to find leftmost point on the upper half of the cardioid r = 1 + cos(theta) by plotting in...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: Perform the indicated operation. 6/27 - 9/75 The answer is (Type an exact answer, using radicals as ...

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Q: Find the derivative of the function using the definition of derivative. f(x) = x + Vx + 9 f'(x) = St...

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Q: Evaluate the following integral by using method of substitution: 1/ (1+9x^2) dx Limit: 0 to 1/√3

A: NOTE: Refresh your page if you can't see any equations. . substitute  ............put it back in ...

Q: The Laplace transform of th is valid for O s>n O s>0

A: The Laplace transform of tn is        Ltn=n!sn+1, for s>0

Q: Find the derivative of the function by first expanding or simplifying the expression. 5x2 + 45x 2) f...

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Q: Simplify the following into a single logarithm: 4 log(5) – 2 log(x) 54 O log O log(4 · 5 - 2x) O log...

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Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: 3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for Tst...

A: r(t) =(2t-5,sint,-cost)a)r'(t)= (2,cost,sint)|r'(t)| =22+cos2t+sin2t =4+1=5|r'(t)|=5L(c) =∫-ππ|r'(t)...

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: Apple pies are often served with ice cream on top. If the pie is too hc the ice cream will melt too ...

A: Using Newton's law of cooling to find temperature in terms of time and than find time at which apple...

Q: Given the following differential equation, D (2D3 – 6D² +5D) y = 0, to determine the values of the -...

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