1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) + C x2(1+sin(1)) – xcos(1) + C

Q: Write each of the following in Sigma notation: 1 7. 1 1 1 1 6. 3 + 6 + 9 + 12 + 15 1?* 2* 32

A: Given query is to write the sequence in Sigma notation.

Q: Which formula is not equivalent to the other two? a.)E (k – 1)? b.)E(k+1) c.)k?

A: To Check : Which formula is not equivalent to other two in the given three formulas

Q: Find the radius of convergence and the interval of convergence. Xx' k + 2 k=0 Radius of convergence:...

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: x³e3® dx. 3,3x dx.

A: solution:-∫x3e3xdxusing integration by parts∫uvdx=u∫vdx-∫u'∫vdxdx=x3∫e3xdx-∫ddxx3∫e3xdxdx=x3·e3x3-∫3...

Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. Respo...

A: Topic:- algebra

Q: Consider the series (x – 6)6 00 (x – 6)8 8. 4! (x – 6)4 Σ a, = (x – 6)² + + 4. 3! +... 2· 2! n=no Fi...

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Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 10....

A: We know that; The Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Where: centered at a or x=a...

Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY...

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Q: Seven front liners stand in row for claiming the snacks. Combination Not Combination

A: A combination is a technique that determines the number of possible arrangements in a collection of ...

Q: 8х — 3 dx x4 + 16x²

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Q: 1. Find two consecutive even integers whose product is 168.

A: Find two consecutive even integers whose products is 168.     Here i attached the solution of this q...

Q: Find the approximate value of  4th root of 82 using approximate formulas. Round off your answer to 6...

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Q: A particle moving along a curve in the xy-plane has position (x(t), y(t)) = (-9 sin(9t), 3t² + 10t),...

A: Solved below

Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the...

A: Given problem:- Determine three positive numbers x, y and z whose sum is 10 that produce a maximum v...

Q: 1. Find the particular solution to the following differential equations d²y а. dx2 d²y b. – 4+3y = 0...

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Q: x2-9 3.) f(x) = x2+3x

A: Here, the given function is: f(x)=x2-9x2+3x⇒f(x)=(x-3)(x+3)x(x+3)⇒f(x)=x-3x⇒f(x)=1-3x

Q: Find the points on the sphere x2+y +z = 109 where f(x,y,z) = 6x + 8y + 3z has its maximum and minimu...

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Q: PROBLEM SET NO. 2 Evaluate the following integrals. Express your answer in simplest form. Box your f...

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Q: 7. Drawn below is an odd, periodic function with period 3. f(x) dx = 5 y = f(x) (i) Calculate the to...

A: Find your answer below 

Q: AT-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts ...

A: Given  Tx=-0.25x^4+9x^3

Q: 1 if x - 1 I-2

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Q: A particle moves along the polar curve r = -4+ 4 sin 0 in such a way that the angle between the part...

A: r = -4+4sinθ  dθ/dt= 5 unit/sec  Find dr/dt when θ = π/2 

Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

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Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli Line seg...

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Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: Find the general solution to the differential equation. y' = 6xy2 y

A: The given differential equation,         y'=6xy2

Q: initial-value

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Q: Suppose 1 aj = 2 3 4 5 1 az = , as ', a5 = 2 – 2 3 3 4 - 4 5 - 6. 6. | a) Find an explicit formula f...

A: Given: a1=12-12, a2=23-13, a3=34-14, a4=45-15, a5=56-16, For (a), So, now the explicit formula is an...

Q: How do I subtract fraction

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Q: Let R be the region bounded by x = 5, y = 3x + 1, y =- 2x + 16. %3D %3D To find the volume of the so...

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Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5), ...

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,...

Q: Let C be the curve of intersection of the surface f(x,y) = y2 ex< - 1 and the plane y = 3. Find the ...

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Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

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Q: Using Maclaurin series, determine to exactly what value the series converges. Σ (In(5))" n! n=0 (Use...

A: Maclaurin series  : f(x) = ∑n=0∞ fn(0)n! xn = f(0)+f'(0) x +f''(0)2!x2 + f'''(0)3!x3  + ...

Q: 2. f(x) = complete the table. Show your solution. 2 1 0.8 0.5 0.1 0.01 0.001 0.0001 f(x) What is lim...

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Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: CALO2- INTEGRAL CALULUS INTEGRALS OF TRIGOMOMETRIC FUNCTI ONS HTE GRATE Hも FO110WIN の 5) (xcot (10x?...

A: A detailed solution is given below

Q: Evaluate the following limits. 1. lim cos2x = %3D x X- 4

A: Given:    limx→π4cos2x

Q: A new car worth $27,000 is depreciating in value by $3,000 per year. After how many years will the c...

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Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

A: First we put x6=t and differentiate both sides with respect to t and find the integral.

Q: 2 3 -x´ - 4xy + 3y°; x= - 2, y = - 3 nen x= -2 and y = - 3, -x - 4xy + 3y° is mplify your answer.)

A: Topic:- algebra

Q: termine the critical points of the function f(x,y)=-2xy + y –x'. fter olessifir uhother 2ngh orition...

A: Please refer to the image below 

Q: V1-(6x2+7x–2)² 3 1-(6æ²+7x-2)²

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Q: log,(2) = y

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Q: Find the area inside the circle r = 7 and outside r = 7+7sin 0. NOTE: Enter the exact answer, or rou...

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Q: Evaluate the integral: f sin rcos³rdx

A: Topic:- integration