Evaluate the indefinite integral. -1 -dx x2 + 12x + 36 Answer:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: We need to determine whether given integral is divergent or convergent. ∫2∞5(x+6)19dx

Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the...

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Q: 10.) f(x) = (x5 – 4x³ – 7)8 %3D

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Q: QUESTION 6 If 2b dx = + bx D + C then the value of is O 1

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Q: Convergent or divergent? If convergent, to what value?

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Q: 64 The partial fraction decomposition of x2 can be 4 f(x) written in the form of g(x) where x – 2 x ...

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Q: Figure 1 illustrates two surfaces which are summarized by the following equations: S1:z = x2 S2:Z = ...

A: The angle between two surface at a point is given below.

Q: ) Evaluete tue limeit: lim (e*+3x) using L'Hopital's Peele if hecessany. af

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Q: Given f(x, y) = 3x* cos (y), find COS

A: Givenfx,y=3x4cosy5

Q: F- 04. The following data was collected for a cross-section of a river (y = distance from the bank, ...

A: Given that data for cross-section of a river is given below. y 0 1 3 5 7 8 9 10 H 0 1 1.5 3 3.5...

Q: A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where ...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: 19. y = In(1 – x²), 0<x<}

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Q: Express the point given in Cartesian coordinates in cylindrical coordinates (r, 0, z). A (예), 에(¥), ...

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Q: Find. dy/dx + 7 %3D

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Q: Use the graph to determine the equation of the vertical asymptote: 5+ -5-4 --2 1 2 3 4 5 -2 -3 -4 -5...

A: Vertical asymptote is given by the line about which the graph runs parallel but never cuts it.

Q: Evaluate the given limits below. 127 1. lim 34 x0* X 1028 2. lim 121 x→0 X 12345 3. lim 136

A: Just put the given  values of limit and evaluate. Actually as per the barteleby guidelines I am supp...

Q: Find an equation of the tangent line to the curve at the given point. 2x (0, 0) (x + 1)2'

A: The given curve y=2xx+12, at the point 0,0

Q: 0 2 4 6 8 10 12 f(x) =|-16-12 -10 -8 -7 -8 -10 . Estimate f'(2) using the values of f in the table. ...

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Q: sec(Inr) tan(ln r)dr 7. 4r? -r? sec(ln r)

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Given f(x, y) = 3x* cos (y), find COS fzy(x, y) = fyw (#, y) = | %3D

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Q: Determine the 2-dimensional vector of magnitude 3 that has the direction from P (4, 7) to Q (-1,6). ...

A: The vector that has the direction from P(4, 7)  to  Q(-1, 6) is: u→=(-1-4)i^+(6-7)j^u→=-5i^-j^

Q: Let f : R → R° be a C function with f(x, y, z) = (u, v, w) and f(1, 2,3) = (3, 4, 1). Suppose the Ja...

A: Follow the procedure given below.

Q: 79. Find the limit of the sequence

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Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

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Q: 2. The voltage coming from the electricity distribution company is fluc- tuating according to the fu...

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Q: Compute the partial derivatives: 6x dz az dy

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Q: In Exercises 51-56, find the limit of f as (x, y) (0,0) or show that the limit does not exist. x-xy?...

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Q: Verify Young's Theorem z = In(2x + y) -

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Q: What is the area bounded by the curve z = tany and the y-axis from y = to y =}? 18 (P+0)(--+36) O n3

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

Q: ) f(t) = t2-2

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Q: ) oe.no dy en x = 0-1 of the IVP = x² +y, y(0) = 1 %3D %3D dx s method. Iving the

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Q: - i. Determine whether n=1 is convergent using ratio test. en ton-1 n

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

Q: csc (In x) cot(ln x) dx ¤[1+csc*(ln æ)]° CSC

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Q: The demand for a certain commodity is -05x D(x) = 6000e %3D units per month when the market price is...

A: To find out the rate of consumer expenditure. 

Q: Let f(x) = - 1. Calculate the arc length of the graph of r = g(y) over the interval z = 2 to a = 5. ...

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Q: dx What should be the rewrite of the integrand of so that the resulting integral is integrable? 1+ c...

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Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: How many individual areas in the total area bounded by the curve y=x - 3x +2x and by the x-axis from...

A: first we plot the given region then decide how many areas exist

Q: iv. g(0) Preview %3| lim g(x) Preview V. a-1 vi. lim g(x) : 2-1+ Preview

A: The given function is:gx=-5x3+5x2+8To find:iv) g0v) limx→-1-gxvi) limx→-1+gx

Q: The figure shows graphs of f, f', f", and f". Identify each curve, and explain your choices. Figure ...

A: We need to identify the graphs.

Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is ...

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

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Q: A particle moves along a straight line and has acceleration given by cm s"(t) = 5t +3· Its initial v...

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Q: Find the limit lim (a,y) (-45,9) xy cos(x + 5y) (Enter 'DNE' if the limit does not exist)

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Q: 3x2 - f(x, y) x2 + y does not have a limit as (x, y) → (0,0). (a) Suppose that we consider (x, y) (0...

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Q: Determine the force due to hydrostatic pressure on the flat vertical side of a tank which has the sh...

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Q: The law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume gas V i...

A: To find the required partial derivatives from the equation PV=mRT where R is a constant.

Q: Given F(r, s, t) = r(3s4 – 6t°), compute: Frst

A: This is a partial differential problem

Q: Which of the following corresponds to the total area bounded by the curve y= x - 3x² + 2x and by the...

A: The region bounded by the curve y=x3-3x2+2x and by the x-axis from x=-2 to x=2