Use the Integral Test to determine whether the infinite series is convergent. n2 (n³ + 4) 3 n=11 To porform

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A: Given query is to find derivative of the expression.

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Q: Solve  (x+1)(dy/dx) +y = ln(x) y(1)=0

A: We will solve the differential equation. 

Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

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Q: Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be mod...

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Q: solve ydx +(x-y)dy=0

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A: Given query is to find derivative using chain rule.

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A: Solution of the problem is follows

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. xy' = y elwy) – x 2. xy' + (1 + x)y = e* sin 2x 3. (e...

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Q: Find the total area of the shaded region. 1.5- (9.1) 0.5- 4.5 9. 13.5

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Q: f (x) = -|x| – 14x³ + -2x3 | g(x) Vx²+1

A: NOTE: Refresh your page if you can't see any equations. . substitute -y for y here both sides ar...

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Q: Evaluute the integra dx 0 16+49x2

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Q: With the given find its value. Using first the IBP."uv –- S v du" and evaluate.

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Q: Find the indicated trigonometric value in the specified quadrant. Function Quadrant Trigonometric Va...

A: Given query is to find the value of sin function.

Q: Determine the average rate of change of the function on the given interval. 2) f(x) = 3x2 + 3 on [3,...

A: Given query is to find Average rate of change for the given interval.

Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

Q: b)Consider the graph of y = (2x − x^2)^1/2 on the interval 0 ≤ x ≤ 2. Compute         the area of th...

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Q: Using integrating factor, solve dy/dx - 2xy = x

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Q: Example 8 Video Example ) Differentiate y = x7Vx. Solution 1 Since both the base and the exponent ar...

A: Given query is to find the derivative of the expression.

Q: Find the linear approximation of the function f(x, y, z) =    x2 + y2 + z2 at (4, 8, 8) and use it t...

A: Solution is given below:

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Q: sin 3x 4- lim sin Sx

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Q: 10. x2(x-2) dx

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Q: 4) x*d'y dx? 3x dy + dx when x=/ , dx

A: Given differential equation is x2d2ydx2-3xdydx+4y=0and given conditions are y1=0 and y'1=0

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Q: Q3/ Find the root of the equation 2x5-2x-1=0 use simple iterative method start with Xo= 0.000

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Q: Example 6 Video Example Find f'(x) if f(x) = In(17x1). Solution Since SIn(7x) if x > 0 f(x) | In(-7x...

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