11. Simplify the following function by rewriting it as one fraction. (Your final simplified result should not have parentheses in the numerator or denominator.) 5x f(x) : x + 4 X - 1

Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x ( then find the area o...

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Q: Identify the following as scalars, vectors or meaningless a) a (bxc) b) (a•5)x(cxd) c) (axb)•(exd) d...

A: Find your answer below 

Q: Two sides of a triangle have lengths of 12 m and 16 m. The angle between them is increasing at a rat...

A: Two sides of a triangle have lengths of 12 m and 16 m. The angle between them is increasing at a rat...

Q: Given the differential equations functions f(x) and g(x), and their derivatives in the table below, ...

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Q: Jsing u-substitution, the integral f(x)dx reduces to a new integral J glu) du. If g(u) = u+1 ', eval...

A: Given that gu=u+1u∫gudu=∫u+1udusolution:let, u+1=xdu=dx∫xx-1dx∫x-1+1x-1dx∫1+1x-1dx

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about z = x0 and then find the nth Taylo...

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Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: e 4x =dx e4x – e

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Q: cot(x) f(x) sin(x) f'(x) = Need Help? Read It Watch it

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: r = radius of circle a = length of each side of equilateral triangle  

Q: x+1 For the function g(x) Find the second derivative of g.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post othe...

Q: cos 2X 80 dx csc (x) sec (X) CSC

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

A: Solution: 5sin(πx);   x0=132,  n=0,1,2,3,4  

Q: 2+1 Consider f (x) = 2-2 A. Explain why the Mean Value Theorem cannot be applied to f (r) on the int...

A: Given that the function is            f(x) = (x+1)/(x-2)      

Q: Let R(x), C(x), and P(x) be, res pectively, the revenue, cost, and profit, in dollars, from the prod...

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Q: solue the given diffe rential equation by wing The DE IS ho moge hous an appropriale Subrtito tion -...

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Q: b) Find the specific solution to the following 2nd order non- homogeneous differential equations d²y...

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Q: 9y+14 dy 3. Jy-2)(y²++4) (y-2)(y²+4)

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Q: Problem 1: Answer each of the following questions. (a) Give the candidate general solution using the...

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

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Q: Given the following table of values, find h' (3) if h(x) = 3 f(x) g(x) f(x) f'(x) g(x) g' (x)

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Q: dx du where u= f(x) and for some constant, k. Compute \2). The integral reduces to eX + 1 A e +1 e2 ...

A: The integral ∫dxex+1 reduces to ∫kduu

Q: In the rectangular prism shown below, OA=a, OC=b and oD =c. Express each of the following vectors in...

A: We have to express sides of rectangular I  prism in terms of vector a, b, and c

Q: • 2 f(x)dx 2 du There is a function f(x) such that when u= - x°, the resulting integral is Evaluate ...

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Q: solve the given ini tial -value problem dx -x = gyz , x(6)=1 dy 2. X (y). %3D Give the largest inter...

A: linear differential equation

Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: Find the radius of convergence and the interval of convergence. 00 (z+ 6)* k=0 Radius of convergence...

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Q: 5 5 -2 6 det -1 0 10 = 47 -3 5 5 -2 6 det-1 0 10 = - 165 7 -3 5 5 -2 6 O det -1 0 10 = 0 7 -3 5

A: Given query is to find the determinant of the matrix.

Q: (4-x² f (x, y, z) dy dz dx

A: Please see the below picture for detailed solution. 

Q: Let E be the solid region bounded by the planes z= y, z = 2y, y 1, a 0, and r 3. The density of this...

A: We have to find the equation in integral form. And evaluate the mass of the object.

Q: The figure below shows a sector of a circle with central angle 0. Let A(0) be the area of the segmen...

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Q: Question For j(x) = (-3x² - 8) (-6x + 9x), find j'(x) by applying the product rule. %3D Provide your...

A: The detailed solution is given below Thank you 

Q: The solution to the differential equation 1 - y = x cos(3x) is: Select one: O 1 x² cos(3x) + cx? O 3...

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Q: A particle travels along a horizontal line according to the function s(1) = 4 - 1012 + 487 where t20...

A: Given query is to find the interval where partical slowing down.

Q: (a) / Зх — 2 d.x x +1 -

A: We can evaluate the following integral as follows 

Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the finit...

A: Area under the curve =∫ab(upper curve -lower curve)dx  

Q: f(x) = X-5 if xŹ 2 at x = 2 2x if x< 2

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Q: Find all the second-order partial derivatives of the following function. h(x,y) = 8x e Y + 7y + 3 dx...

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Q: dx = 5x - 3y dt dy - 2x - 14y dt It is converted into the matrix (we will talk about this in lesson ...

A: Let's find.

Q: Write the first five terms of the sequence: {Vn? + 7n – n}n=1 | Determine whether the sequence conve...

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Q: Determine whether the alternating series converges. 7ln k (- 1)*- k k=3 O The series converges. O Th...

A: We have to check weather the given series is convergent or divergent.

Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: Given the matrix 2 4 Find the Characteristic Equation and find its solutions (aka: eigenvalues). A R...

A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

Q: Find the Taylor polynomials of orders n= 0, 1,2, 3 , and 4 about =20 and then find the nth Taylor po...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

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Q: Assume the nth partial sum of a series a, is given by the following: n = 1 9n - 4 Sn 2n + 4 (a) Find...

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Q: (2x2 + dx. Using u-substitution and transformation of integrand, then the power formula applies; suc...

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Q: dl # m S' Use Ay s f (x)Ax to find a decimal approximation of the radical expression. 27.06 What is ...

A: The objective of the question is evaluate the decimal approximation.

Q: Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + ...

A: