Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. 5n3th+1

Q: 4 16+ 16y – 4y² (y2 – 4)2 3

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 2n + 1 (b)...

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Q: Integrate: sin²x dx x2 A. в. 4 A D D.

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Q: Solve the following differential equations of dy 1 + -y = xy'; dx 'Linear Differential Equation

A: The standard form of Bernoulli's differential equation is: dydx+Py=Qyn Where; P & Q is the funct...

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C...

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Q: xdx Evaluate Vx4-16 Vx2+16 Vx2–16 A. + C с. + C 4 Vx²–16 (In In в. + C D. + C 4 O A В O c D

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Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0? cos 0 + sin e r = cos20...

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Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of int...

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Q: An inverted conical tank with 14 m height and 7 m radius at the top is full of water. Calculate the ...

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Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: a) same direction as -i+3j Magnitude of given vector square root of (12+32)  square root of 10 = 3.1...

Q: Let a = ci + j and b = 7i + 24j. Find c so that the angle between a and b is Round your answers to f...

A: Given problem:- Leta = ci + j and b = 7i+24j. Find c so that the angle between a and b is π/6

Q: Find a set of parametric equations for the line passing through the point (7, o, 9) that is parallel...

A: Parametric equation of line in 3D

Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

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Q: 1. Next to each situation A. through H. listed below write one of these four statements: LINEAR-if a...

A: G  the population is 900 in beginning ,1000 in next year, 2000 the next year this is  the linear mod...

Q: Let f(x) = -cos(x). Compute ộ = coto + C1T1 where to = 1 and 1i = x. %3D Compute the discrete approx...

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Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

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Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: Solution ) f(x) = lnx/x f'(x)=  [x (d/dx ( lnx )) - lnx (d/dx (x) )]/ x2 By differentiation divisibi...

Q: El cálculo de la integral, S sin' (z) dz es equivalente a Seleccione una: O a. - sin (2a)+ S [1+ cos...

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Q: Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" - n=1 converges or diverges.

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Given: The expression for the volume of tetrahedron is: V=16u·v×w And The vertices P-2,5,0, Q2,1,-3,...

Q: sec22ydy cotzy(3+tan?2y) : 1n(3 + tan?2y) + C D. - In(3 + tan²2y) + C Evaluate the integral: J 1 С. ...

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Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

Q: 3. Apply the partial fraction decomposition to evaluate the integral 4-x2 x(x2 + 2) x

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Q: The sequence that begins 1 1 1 1 3? 4 5 6? could be ... 2 O a Fibonacci sequence. O a harmonic seque...

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Q: S 3x° V1 – 2x3 x3 – 3x if a 0 1. Let f(x) = Evaluate S, f(x)dx

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Q: S 3x° V1 – 2a3 l 2³ – 3x 1. Let f(x) = if æ 0

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Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of pol...

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Q: 2x-5 dx 73

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Q: F sin?(20)de c. D. - A. в. A B.

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Q: Find the dy/dx of the following function using Chain Rule. y=(-5x3 - 3)3

A: Find the dy/dx of the following function using Chain Rule.

Q: S dx Evaluate: А. п B. VT c. VT3 в. D. еп A B C D

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Let's find. 

Q: The sequence that begins 101, 105, 109, 113, 117, .could be O a geometric sequence. O a Fibonacci se...

A: This question can be solved using the concept of types of sequence.

Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3 ...

A: To find given integral.

Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: 2. Apply appropriate trigonometric substitution to compute the integral 1-4x +2 dx /2x

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Q: Eetee 10 Describe the relationship between the graphs. Step - The graphs of fand are reflections of ...

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Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,       ...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: dx Integrate: J. 3n B. A. EIN

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Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....

Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (n 2)/4 c....

A: Note:- Final answer is not match from any option i am providing you solution. please check it

Q: Find the directional derivative of the function at P in the direction of v. V2 (i + j) f(x, y) = x³ ...

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Q: 4. Sketch the region enclosed by the curves y |x| and y = x2-2. Compute the area bounded by the give...

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Q: dy 1. Using Logarithmic Differentiation, find * given that dr -3 sec-(VI) y = 4"(log2 r ech z

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x³ from ...

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Q: 1 Arc sin, xdx хах 2

A: By parts method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx*∫v(x)dxdx ddx(arc(sinx))=11-x2

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find.