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Q: Express the repeating decimal as a fraction. 0.4511 414141..

A: Solution is written in below steps.

Q: Find all inflection points of the function given, and then find the regions where the function is co...

A: f(x)=x36x+24=x36(x+4)f'(x)=16 (x+4)3x2-x3(x+4)2f'(x)=x3+6x23 (x+4)2f'(x)=0x3+6x2=0x2(x+6)=0x=0  or  ...

Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3...

A: Given,  a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.

Q: equation 6 = 2*.

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Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: (3x² + 1 +)d: x 2x2 (2+v) dx 2. 3. хсos(2x? + 7)dx 4. (7x³ + 4x²)dx 5. V1— сosxdx

A: Integration xn dx=xn+1 /n+1

Q: Given the power series, calculate the interval as well as the radius of convergence. Identify where ...

A: ∑m=1∞ (3y+2)m2m2+m-1Radius of convergence:am+1am<1(3y+2)m+12(m+1)2+(m+1)-12m2+m-1(3y+2)m <1(3y...

Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Find your answer below 

Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + 2k as adjacent sides. %3D NO...

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Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1

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Q: 1/V3 dx 1+4x2

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Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

A: Since you have posted multiple questions i can do first question ( with all subparts)as per our comp...

Q: The position of a car traveling along a highway is given by the function s(t) = 21- 2t – 312 +6 wher...

A: I am attaching image so that you understand each and every step.

Q: 1. f(x) = -2x – 1 %3D

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Q: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below: f...

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Q: For the following functions, determine , Je Je and se e, f(r,0,z) = r(1 – cos0) – z For the followin...

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Q: If f(x) = 6 cot +4, then find the value of f'(-4) is

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Q: dx -3 x(x+1)

A: We know, ∫dxx-a=ln(x-a)

Q: Question 6 Let Fx) be an antiderivative of fux), with F(O) = 50 and J, f(x) dx = 12. what is F(5) = ...

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Q: an+1 -to determine if the sequence An +00 Use the ratio- {ne"}, is strictly increasing or strictly d...

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Q: V4-x2 3. Trigonometric Substitution f x4

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Distance from the point P to line AB is AP→sinθ, here θ is the angle between AP →and BA→

Q: 2x2 + 1 dx 2. ") (x - 1)(x - 2)(x – 3)

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Q: 5x² +1 dx2

A:     d2ydx2=5x2+1Substitute d2ydx2 with y'' ⇒y'' =5x2+1Integrating once we get,⇒y'=53x3+x+c1Integrati...

Q: Alternative Minimum Tax The alternative minimum tax was created in 1969 to prevent the very wealthy ...

A: Given that,  

Q: Let y be defined implicitly by the equation 2x + 5y-4x- 7y = -2. dy at the point (1, 0). dx Use impl...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: dy Find using implicit differentiation, for the equation + 10 is_ dx

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Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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Q: What is the general solution to the differential equation (e*y² cos(y) + x)dy + (e*y² sin(y) – y)dx ...

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Q: Find the first order partial derivative with respect to y of the function f (x, y) = x³y² + 3æe". 3a...

A: Differentiate given function with respect to y treat x as a constant. 

Q: 1 1 + e6x xp

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Q: Question 11 Evaluate the integral Jve'dy. A Enegative 1 half e to the power of y squared end exponen...

A: Let's find. 

Q: 2 sinx V1-2cosx 3

A: ∫π3π2sinx1-2cosxdx=12∫π3π22sinx1-2cosxdx=12∫π3π21-2cosx-122sinx dxSince ∫f(x)nf'(x)dx=f(x)n+1n+1+C=1...

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4, 1). NOTE: Enter the exa...

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Q: T(t) = r'(t) N= T'(4) %3D Find Ť (t) t Ñ Ct) for ct)=tî t+4Eŷ. Evaulate tLt) $ Ñ Ct) for t= 3,

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Q: 1. lim(2x + 4) x-3 2. lim f(x) if f(x) = {- ifx 1 %3! x² - 4x + 3 X-1

A: Here we will solve the given limits,

Q: Let P(-1, 1, 3) and Q(-3, 1, 5) be points in R3. Find the components, magnitude and direction angles...

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Q: d²y dx2 5x2 + 1

A: Given :d2ydx2=5x2+1

Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A: z = -256 - i2563We need to find 9 roots of 'z'.   -------------------------------------------  

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

A: Given problem:- Evaluate the integral using the indicated trigonometric substitution. (Use C for the...

Q: Question 6 * (4x – 1) dx (2x + 1)½ Perform the Integrations Use the editor to format your answer

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Q: 1a)Evaluate the double integral over the rectangular region R: ∫∫R 4xy^3 dA;R=(x,y) :−10≤ x ≤10,−8 ≤...

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

Q: dx 5. Half-Angle Substitution J 3+5cosx

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Q: 2 5. f(x) = xỉ

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Q: az For the following functions, determine az and ax ду z = x*eys z = In z = x³e+xy2 2y z = y + cos x

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Q: Determine whether the given statement is true or false. Even functions have graphs that are symmetri...

A: Given problem:- Determine whether the given statement is true or false   Even functions have graphs ...

Q: sản7y dy - Blank 1 Evaluate the Definite Integral Blank 1 Add your answer

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Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

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