Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) a = cos = lim a = n→ 00

Q: B) Find derivative of the following function d -6tanx dx

A: Find derivative

Q: 6. Graph the parabola described by y = -4x² + 10x + 12. (Be sure to show vertex, x and y intercepts…

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Q: Use the comparison test to decide if the integral converges diverges or if the test is inconclusive

A: Use the comparison test for improper integrals

Q: Evaluate the following integral − (x - 1)(x-2)(x − 3) -

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Q: For the next two exercises, use the Ratio Test to determine if each series converges or diverges.…

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Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: π 2 00 sin³¹(0) cr S' 0 rdr dedz

A: We have to evaluate the given integral.

Q: Theorem (Lindelöf covering theorem): Let A be a subset of the Euclidean space R" and let f be an…

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Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…

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

Q: Use spherical coordinates. Evaluate SSS √x² + y² + z² dv, where E lies above the cone z = √√x² + y2…

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Q: How do you find the eccentricity of an ellipse for question 4? Please explain in detail your answer.

A: Here, the given equation of the ellipse is: (x+3)216+(y-5)225=1 Comparing the equation with…

Q: 1505 152 mxa 081 dial 3a. Find the coordinates of the relative maximum and relative minimum of the…

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Q: help

A: We will solve the problem.

Q: 17. The graph of y = asin(b(x-c))+d has a maximum value that occurs at (1, 6) and the next minimum…

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Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

A: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

Q: f cos² x dx

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Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: D-the derivative is y = In In (VO) +

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Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

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Q: 10. The function y = f(x) is shown where a 0 and c> 0, then a potential equation might be: A.…

A: Consider the graph

Q: dN (t) dt = g(N(t)) = a · N(t) · ( 1 · (1-N()) 9 M N (0) = No > 0,

A: We have to find the logistic curve .

Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: Complete the table. y = f(g(x)) y = (3x - 4)4 Need Help? Submit Answer U= Read It u = g(x) y = f(u)…

A: Explained below

Q: 4) 3. Find either angle between the lines described by 2 y = x + 3 and -3x + y + 18 = 0

A: Angle between the lines θ=tan-1m1-m21+m1m2 m1 and m2 are the slope of the lines let the line l1:…

Q: Calculate the derivative of the function below using the quotient rule. 210 y = √x + 5x8

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: x³ + 3x² + x +9 3 (x² + 1)(x² + 3) s dx

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = 27/12/² n = 4, c = 2 P4(x) ||

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Q: 5. Find the volume of the solid generated by revolving the area of a circle: (x - 2)² + y² = 4;…

A: In this question, we need to find the volume of solid generated by revolving the area of the given…

Q: • S/2 csc²2x√√1+cot 2x dx TT/8

A: Given integral , ∫π8π4cosec22x1+cot2xdx

Q: Solve the first-order differential equation dydt=ay with the initial condition y(0)=5 Specify the…

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Q: 4-If B=(2,-2) and C=(5, 8). Then, B.(2C) equal: a) 12 b) -12 c) √12 d) 1/12

A: Solution )  B⇀ = ( 2 , -2 ) , C⇀ = ( 5 , 8 )  2C⇀ = 2 ( 5, 8 )      = ( 10 , 16 )  we know that…

Q: Consider the following graph y = p(x) and answer the questions which follow. P 3+ 3 -3 & -3+ a.…

A: topic- limits and derivatives of a function

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Consider the following matrices: 2 A = [23] 24 B = -1 -⠀ -⠀ C = 0 3 2 Perform the following…

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Q: A) Evaluate the following integral dx (x - 1)(x-2)(x − 3) - , 10 points

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: - be to your advantage to simplify first.

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Q: Given the function z = = f(x,y) = 2y³ -5xy-3x²+2, find the equation of the tangent plane at (1,-1),…

A: Given problem:- Given the function z  = f(x, y) = 2y³ −5xy-3x²+2, find the equation of the tangent…

Q: Q.1B) If w = f(u,v) where u = tan"12 &v=In(x² + y²), the show that: dw Х- +- дх дw dw <-2- ду ду

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q.1B) Prove that: Iff, Cos) dxdy - = sin (1) where R the region bounded by x + y = 1, x = 0, y = 0

A: We use the change of variable to prive the given equality

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

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Q: A ball is thrown straight down from the top of a 482-foot building with an initial velocity of -15…

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Q: Three regions are defined in the figure. y C (0,3 R₂ B(1,3

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Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: This question can be solved using the concept of rate of change of quantities.

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: Given: dydt+30y=48,  y=85-85e-30tTo Find: we need to verify the solution.

Q: ∞ So dx 4+x²

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Q: 2. Center (2,3) and tangent to the x-axis.

A: Follow the procedure given below.