In n Consider the series Verify that the hypotheses of the Integral Test hold, and n2 n=1 use the integral test to determine whether the scries converges or diverges.

Q: If f'(2) = 5 then [4f(x) – x³]x=2 %3D dx Select one: O 32 O 8 O 28 O 20 O none

A: Given f'(2)=5To find ddx[4fx-x3]x=2

Q: iSy dx dy 3.

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Q: 1- x dx 3.

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Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: (x, y) = (1, –1) { 1 Show that the function f defined by f(x, y) x2 + y (x, y) # (1, –1) x + y is…

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Q: In Exercises 9 and 10, find all the trigonometric values of 0 with the given conditions. 15 9. cos 0…

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Q: Assume that the radius r of a sphere is expanding at a rate of 90 cm/min. The volume of a sphere is…

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Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

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Q: 2. Evaluate the given line integral, (-y, x – y) · dR, where C is the line segment from (2,0) to (0,…

A: Using parametric equation, line integration is evaluated.

Q: Find the area bounded by x = sqrt y and y = 2x. You may use horizontal or vertical strips. Also,…

A: Area

Q: Evaluate the integral [(4?) i + (3) j+ (5t + 3) k] dt. 1 i + (3) j+ (5t + 3) k] dt = (O i+ O ij+ (O.…

A: Topic = Integration

Q: B. For each of the following functions z, find az az a2z and дх? дудх" дхду ay2 1. z = 2x? – 5xy +…

A: We know that when we differentiate a function partially with respect to 'x' , other variables of…

Q: B. For each of the following functions z, find and dx²' dyðx' axðy' dy2 1. z = 2x² – 5xy + y²

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Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: xチ+1=4 DIDX= 2-2y (ost) X= 3サ-3 *キーに h で3,0) サ=2メー オー×ポーカ toノー4) メッとナ+ム メーリー3

A: Explanation of the answer is as follows

Q: 1. If f(x) = *, then f(x + h) = %3D 2. If f(x) =, then f(x + h) = 3. If f(x) then f(x + h) = Vx+2'…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

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Q: 15. What are the coordinates of the vertices of the ellipse A. (-6,0) and (6,0) B. (0, -6) and (0,…

A: 15  y2/9 + x2/36 = 1 compare with x2/a2 + y2/b2 = 1 so a = + 6     b = + 3 so here vertices  (a,0)…

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: We need to nd which set is more dispersed.

Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric means for the given data. The formula for the geometric mean of x1,x2,...,xn…

Q: x dx V3-2x-x

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Q: der the series. You will apply a comparison test to determine the sin n=1 3 behavior. Do the…

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Consider the function g defined by g(x, y) = sin (T /Ty) + log3 (x – 3y) Do as indicated. 1.…

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Q: II. A particle is moving along a line with velocity given by the function v(t) = t-…

A: We have to find the position function of the particle at any time t.

Q: A tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A particle moves along a horizontal line. Its position function is s(t) for tz 0. For each problem,…

A: Given: st=t3-t2-56t We know that  vt=dsdt; at=dvdt

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e Y (x? +y?) +…

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Q: Given a right circular cone with an altitude of 5 cm and a base diameter of 8 cm. If the diameter is…

A: volume of cone =Πr2h/3

Q: 2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

A: Suppose z is a function of x and y  tan (√(x + y)) = ez^2  We have determine ∂z/∂x and ∂z/∂y

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

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Q: f 3p2tanip dp

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Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 (Use decimal…

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Q: 27. Find the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0…

A: Solution: Given

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: We will use the formulae of circumference and volume of sphere to solve this question.

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: 1 f(x) 1+x 1 f(x) 1- x 2 f(x) 3 — х x² f(x) x* + 16

A: Given that the series the  To find the Power series

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: Integrate 1 x + 1 dx x + 1 2

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: 24 2. 3. 25 Equation: Solution: Ec So Triple?. Tr Triple Family: . Tr

A: According to company rule we can answer only first question and rest can be reposted.

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: dx Evaluate the integral 7+6x – x²

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Q: sin 2t sin 5t S 8+3 s+7 O None of the choices O Option 1 20 10 s4 +58s2 +441 s4 58s2 + 441 Option 3…

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Q: SIn(5 + VT)dr Algebraic Substitution

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: əz az A. For each of the following functions z, find - and дх ду 1. z= sin3x cos4y 2. z = tan-1 (2)…

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