Use the Ratio Test to determine whether the series is convergent or divergent. (-9)" n2 n- 1 Identify an. Evaluate the following limit. an +1 lim Since lim 'n+1 ?0 1, --Select--- an

Q: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

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Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: Given the slope field below, which function describes the given graph. A. y' = x? + y +1 B. y' = x*…

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Q: What are intervals of concavity of the function f(x) = -2x³ – 6x? – 6x² - 3? Concave upward on (-o,…

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Q: Question 2 Find the differential dy: y= sin O dy E In a + sin( rVE dr Cos ( xY O (E) None of these…

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Q: Evaluate (f-1) '(2) for the function f (x) = /x³ + x² + x + 1.

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Q: (e) If p = tą+3ī , then p, q, andr must be coplanar F Ccould be wltihear)

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Q: 9. Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of…

A: Oil spreads in circle on surface of ocean. Area of circle is A=πr2.…

Q: Find the total differential du. 1. w = y tan a? – 2xy

A: To find the total derivative

Q: (80") (7")(9") + 1* n=1 IM:

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Q: Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0. 1]…

A: f(x)=x3+3x-2

Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: Study the diagram on the right. Two circles are shown ( ): Based on the information shown in the…

A: Formula to be used is  Angle= arc/radius

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: 4. Find the directional derivative of f (x, y, z) = e* cos(yz) the point (1,-2.0) in the direction…

A: I have authority to answer only one question, so  I am posting answer for 1 st question

Q: Question If you were to use a substitution of u = cos(x) to evaluate the definite integral below,…

A: Use the given substitution to find the new limits

Q: 1-y Q2: Evaluate fo y²(x² + y²)dx dy -1

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Q: Calculate the trapezoid approximation of o xdx using four subintervals. O T5 = 21.52 O T5 - 23.25 T5…

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Q: Find the Taylor series generated by f at x=a. f(x) = 1/x2, a= 10

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: The solution set of non-negativity constraints is located at Y-axis Quadrant II 3- QuadrantI X-axis…

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Q: h(x) = (2x2 - 5x)2 / √3x-2 1. Explain how the function you chose can be rewritten in such a way…

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Q: Question 3 Compute V31.6 approximately by use of differentials. 1.098 (E) None of the choices 1.890…

A: 31.65=1.995

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: a. (csc 0)(1+ sin² 0 + sin 0 cot? 0) d0 5.

A: We will solve the integration

Q: Solve the equation on the interval 0s0<2r. cot 0+ 3 =0

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Q: 00 4n 6(-7)"x

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Q: You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will…

A: We have to find the dimensions of the cylinder.

Q: d3y +6° dx2 d²y d- dx3 15 dy 15 dx 100y = 0 - - %3D

A: Given :d3ydx3+6d2ydx2-15dydx-100y=0

Q: x2 Consider the function f(x) = - x2 -1" (a) Find the intercepts of the graph of f (if any). (b)…

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Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to .…

A: Given  Marginal cost = $2.50

Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: Question 7 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: This question is related to volume of spheres, we will solve it using given information.

Q: The three points X(-6, 8), Y(6, -8) , and Z(-10, 0) are on a circle with radius 10 and centre at the…

A: We have to show X,Y, Z are vertices of a right angle triangle.

Q: The power series representation of 8. f (x) = x +7 centered at x = 2 is: 8 8 8 8 (x-2) + 81 (x-2) 2-…

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Q: I just want to confirm if my solution is right. Please check. If not, please correct me.

A: You have done a mistake which I have shown in step 3 of this solution. Kindly go through it.

Q: Consider the lines x = -1+ 2s х — 5 l1 : 3 - 2 and l2 : y = s 4 -2 z = 5+ s а. Find the coordinates…

A: The three parts of the problem are solved in the next three steps.

Q: Let B be the sphere x2 + y? + z2 = 1. %3D The volume of the portion of B contained in the first…

A: x2+y2+z2=1

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: S sin? 3c cos? 6c dc

A: Solve the following

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: Using integration determine the Laplace transform of f (t) where f (t) =t when 0 2 %3D

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Q: 29 – 44 dy 2+ 49 с.

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Q: The function y(x) saifies the following equation: 2 a2 + 4 x y + 3 y² – æ + y – 3 = 0 dy in terms of…

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Given

Q: Evaluate The Work Done By The Force Vector, F= (6x^2+3y)I – 15yzj + 10x^2zk From (0,0,0) To (1,1,1)…

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