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Q: 32т + 4 Σ (8) Does the series converge or diverge? Justify your answer. TAn+1 n=1

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Q: Obtain the general solution   mydx = nxdy   Ans. xm =cyn

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Q: 1. Determine the order and degree of the differential equation d'y' 2 -222 dr4 + 4.r dr? 1 = 0. (a) ...

A: Given:-  

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A: Using double integration

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A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

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A: Given:         The atmospheric pressure                       P'=-kP Measurements with barometer sho...

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A: To find the coordinates of the points where the gradient is zero on the curve y=x+1x.To establish wh...

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A: Given query is to find the limit ofnthe expression.

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Q: Find the area of the surface. The part of the sphere x2 + y? + z2 = 9 that lies above the plane z = ...

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Q: Test for convergence or divergence, using one of the tests listed below. 1. n + 3 n + 4 n = 1 O conv...

A: Solve by limit comparison test 

Q: d²y 4 - 5y = 0, suppose the solution has the form y = ex. Let ax dy Find the Characteristic Equation...

A: characteristic equation and roots

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Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

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Q: Question: Given y = sin u and u = 3z + 1, find dy/dr %3D Select one: 3 cos (3z + 1) O 3 csc (3z+1) O...

A: This question is related to derivatives.

Q: perty tax is based on the assessed value of a property. A house that has an assessed value of $150,0...

A: Given query is to find the relation between value of the property and the tax.

Q: .Sx Vx+1 dx

A: The integration of the integral is x√(x+1).

Q: What are the dimensions of the can with greatest volume?

A: Follow the procedure given below.

Q: *The Chain Rule of Differentiation A. Directions. Decompose the follawing functions and complete the...

A: 1)  y=(4x-7)3Solution: u = g(x)u  = (4x-7)_______________y = f(u)y= u3

Q: 12. A function f, continuous everywhere and twice-differentiable for x # A, satisfies • (-44) = B, f...

A: ----------------------------------------------------------------------------- Basic information:  f'...

Q: (6) Find the direction and magnitude of the greatest rate of change of T at (3 -) 2)

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

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Q: Sx² ex dx

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Q: W.6 Twa cars AtBmove ntersect at right angles tewards the intersection paint AL 25 mi/tr and 30 mi/r...

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Q: Edit Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth ...

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Q: Tπ L2 sin3xdx Tπ 4

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Q: The graph shown is f (x) = V2x + 1. 3+ 54 3-2-141 2 3 4 5 -2 -3 -5 If g(x) = f(t) dt, what is g' (4)...

A: Given  f(x) = 2x+1  and  g(x) = ∫0xf(t) dt.

Q: The orthogonal projection of v = 10i on b = -3i + jis <

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Q: At what points (x.y.z) in space are the functions continuous? a. h(x.y.z) = In (4z - 3x-y? - 4) 1 b....

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Q: What could be an integrating factor in solving the differential equation (1 +x*)+(1-x)y = xe* ? +(1–...

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Q: Solve the given initial-value problem. The DE is homogeneous. xy? dY = y3 - x³, y(1) = 3 dx Submit A...

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Q: The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) U...

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Q: d-n Let c and d be two positive numbers, and a, = (1 + Use the strategy from Example 8 (on page 583)...

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Q: Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0, X-2 x-2 find the limits, if they exist. (If an a...

A: As per our guidelines we are supposed to answer 3 subparts of a question. Kindly repost the remainin...

Q: Select the correct graph, showing f and g are inverse functions. f(x) = /x - 3. g(x) = x² + 3, x 2 0

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Q: Use logarithmc differentiation or lanofher method to, find then derivative

A: The function is given by fx = x2x, x&gt;0                                    ......1 To evaluate: Th...

Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

Q: 4. Which of the following represents the differential equation of the family of parabolas having the...

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Q: Obtain the general solution of the following differential equations. 4. y'dx+e* dy = 0 Ans. e +y = c...

A: differential equation

Q: 1.Prove that n(n+1)(n+5) is a multiple of 3. 2. Use Pascal's Triangle to expand the expression (a + ...

A: Here we have to prove that n(n+1)(n+5) is a multiple of 3.

Q: What is the future value of $1,540 invested for 5 years at 5% interest compounded monthly? Round you...

A: The future value formula of compound interest isFV=PV1+rnntt: the time r: the rate, (in decimal form...

Q: Consider the area of the region bounded by the curves y = 2x - 3x – 9x and y = x - 2x2 - 3x. If A, s...

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

A: Given,            A balloon leaving the ground 60 ft from an observer rises vertically at the rate o...

Q: How y The Salid shown in figure consists of a Cene of radins(r) and height (hi) and a cylinder ofrad...

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Q: Verify that f and g are inverse functions algebraically and graphically. X - 1 f(x) = 8x + 1, g(x) =...

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Q: The Value of the Variablex that ful fills the la Fo llowing eauation %3D

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Q: Examine the Eunction For relative extre ma and raddle points. h(x,y) 8ox + poy -x-y² 2.

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Q: 12. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and...

A: Given

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

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