Use the integral test to determine if series converges or diverges by solve Σ 11 ne 22 The series diverges since the integral diverges The series converges since the integral converges The series diverges since the integral converges The series converges since the integral diverges

Q: function. f(x) = 2x-3 Start by drawing the vertical and horizontal asymptotes. Then plot two points…

A: We have to draw the graph

Q: 17/3 cos (t)h(sinct)) dx

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

A: Let's solve given diffrential equation.

Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

Q: Evaluate the integral. [8 sin √xdx Ja sin √xdx= 8

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: The intervals on which f(x) = x² lnx is increasing and decreasing, and the intervals of concavity…

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Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve) 10 8 0 O Option 3 O

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

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Q: 1 2 1 Q2. If A = 200 31 2 find A¹.

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Q: Q1) Find the derivative a) f(x) = arctan (e-2x) b) f(x) = [arcsin (2²)]³ C) f(x) = tan (lnx) + 52²

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Q: 5. r² = 1

A: As per the rules of the company we can answer only first question and rest can be reposted.

Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Solve the following initial value problem. dr de = -лсоs л0, г(1)=2 (Type an exact answer, using as…

A: We have to find the initial value problem.

Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: 25 5.²5 4 Incx √x dx

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Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: 5. Solve d²y dy dx² dx +2 + 5y = sin 2x, given that y(0)=3, y'(0)=0.

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Q: puit 2 x³ = x²y sir (22²) X tije xp

A: Solution of given question is written in below steps.

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Question 3: A) Find the critical points of the DE: y' = y¹ − 5y³ + 4y². B) Classify each critical…

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

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Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.

Q: Find the value of ff xye**y dxdy (solve) (yeye)(xex - e*) Option 2 O yev (xe* -ex) Option 1 (yeyev)…

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Q: 25 In (x) X dx

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Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

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Q: Consider the double integral f(x,y)=(x²+y2)3/2 over the region R where y is bounded between 0 and…

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Q: 3. (a) Solve the differential equation (x+1) ª¹ = y +e³(x+1)² . dx (b) Form the differential…

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Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

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Q: Let a = . Find a unit vector in the direction of a

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Q: ydy 2 √16-94² S

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Q: Se³x cos (2x) dx 3x

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Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.

Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

Q: Determine the area of the shaded region. 70. 15 4+ 3+ 2- 1 이 12x - x2 2 becodelating onesyde, −12 +…

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

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Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

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Q: Find the function F that satisfies the following differential equations and initial conditions.…

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Q: Solve: y'' - 4y' + 4y = xsinx

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Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

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Q: y=x² from (0,0) to (1,1). | Compute the line integral of f(x)=2x over the curve 2009

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Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: If 2 [² then f(x)dx = 5 and is equal to 10 5 prox Select one: O 15 O none of the others O -5 5…

A: The given integral is f(x) limit from 1 to 2 equal to 5 and the integral f(x) limit from 2 to 5…