Determine whether the series converges. Σke-k² 8 k=1 The series

Q: Find the average value of the function f(x)=xex? over the interval [0.2]

A: f(x)=xex2  on 0,2formula for average value is favg.=1b-a∫abf(x)dx∫exdx=ex+c

Q: log3x18 3/ = = √3²) 2 - Blog (y) 1083 = A log3 x + Blog y then a + log₂ (2182) log2 (x) X syntax

A: Given query is to find the value of A and B.

Q: (b) Use Laplace transform to solve the following systems of equations y' + x = e³t x' - y = 0 1 x(0)…

A: Let's solve given two parallel differential equations.

Q: Text:If f(x) = tan(2x), what is the absolute difference between f(5.4) and T₂(5.4), if the second…

A: To solve the following

Q: Use a series to estimate the following integral's value. 0.3 √ 36²x² S 3e dx

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Q: Determine whether each series is conditionally convergent, absolutely convergent, or divergent

A: We need to find convergence.

Q: p(x)=tan(x-Pi/3) need to know the stretching factor, period, and asymptotes

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Q: Given: f(x, y) = x³y +exy ² 9. find fxy b. find a³f ayayax

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Q: 5. Determine whether the series is convergent or divergent: 3√√n 1+3n³/2 n=1

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Q: 5) y=sin (0-60) 90° 180° 270° 360° 450° 540°

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Evaluate the integral SSSR x² + y² + z² dV where R is the region bounded above by the paraboloid z =…

A: Let's evaluate the given integral.

Q: O Use the MVT for integrals to show that there is point c in the interval (0,4) such that sec² (c) =…

A: MVT Theorem: Let f(x) is continuous on [a,b] and f is differentiable on (a,b). Moreover f(a)= f(b)…

Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…

A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.

Q: Simplifying the logarithmic expression log, b³ - 3 log, a + 5log, a¹b will give you m+nlog, a The…

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Q: Evaluate the integral. 1₁ w² w² In(w) dw

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: Find the values of x, y and z that correspond to the critical point of the functio z = f(x, y) = 4x²…

A: for critical points put  fx=0 and fy=0∂xn∂x=nxn-1∂constant∂x=0

Q: 15. If y³ - xy = 5, then A. C. 2xy (3y²-x)³ 5 (3y²-x)² d²y B. D. -2xy (3y²-x)³ 2xy (3y²-2x)3

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Q: and and simplify the expression and yd Booze (Cos+isin)³ ress the answer in standard form, a + bi.

A: Given query is to find the a+ib form.

Q: Let F(t) = (vt - 5₁: ³/t-5, 3e¹, 13 S." r(t)dt = ( 3 ³4). E Evaluate the definite integral. t-4

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Q: Let F = (e³ª, sinº x, cos² x). Calculate curl(F). curl(F) =

A: Given  F = e5y, sin9x, cos2x We have to calculate curlF.

Q: 9 -9 0 √√81-x2 dy dx

A:

Q: Find the exact length of the curve. y = √x - x² + sin-¹ (√x)

A: The given curve is: y=x-x2+sin-1x

Q: (ui+°x ܙ Xx (— x ܢ ܐ ܢ ܂

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the curl of the vector field F. F = x³yzi+xyzj+xyz²k curl F = Di+O k

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Q: an || 2 2n+1

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Q: Find the indicated partial derivative: Y Ə dy y + 2x = [

A: Given query is to find the partial derivative.

Q: Find the indicated sidex of the triangle ABC given in the graph X = 34° I

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Q: Find lim_ (x+3)² x→-5

A: Given: limx→-5x+32

Q: Find the x-intercept of the graph of y = ln(x-k) +2. Your answer will be in terms of k.

A:

Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).

A: Given query is to find indicated derivative.

Q: lim cos TX x→1

A: Given query is to find indicated limit.

Q: Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real…

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Q: Example 4. A man is walking along a straight path at a speed of 3 ft. A S searchlight is located on…

A:

Q: If the marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function…

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Q: Question 1 Determine the remainder of (2x³-5x² - 4x + 7) + (x + 2) A) -21 B -6 C -11 D -37

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Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

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Q: 22. If log(x) = -4, find the value of log(ar³).

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Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

A: Let's solve given integral.

Q: 2. Find the complete solutions of the differential equation, = (x + 1)(x + 2), dx 3 and its…

A:

Q: Find the area of the region enclosed by r = Provide your answer below: A = 26 sin(0). Enter an exact…

A: NOTE: Refresh your page if you can't see any equations. . take r=0 so lower and upper limits…

Q: Determine 1. limit = 2. limit = 3. limit 4. limit 5. limit lim x 0 3x - x² 6. limit = 3 1 3 3 1 (²)…

A: First I have simplified the expression and then taken the limit. Option (3) is correct.

Q: Suppose that the monthly marginal cost for smokejumper harness straps is C'(x) = 3.5x +95 and the…

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Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

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Q: Question 7 Evaluate the given definite 23 In 1

A: Given query is to find the integral.

Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A:

Q: Determine all values of a for which 2 1 0 3-a-2 2-0 3 -1 a Select one: O a. 2 and 4 only O b. 4 only…

A: Given: 2103-a-223-1a=0 To find the value of a

Q: A car rental company charges 40 dollars per day, 15 cents per kilometre driven, and a 30 dollar…

A: we know that   10 cents=$0.1given  per day charge is  $4015 cents per kilometer driven $30 for one…

Q: = [²¹] and B = [₁³], 79 47 If A = A [7.4 11 13 find-2A + 4B.

A: given that  A=2-179    and    B=5-347 then we have to find  -2A+4B now ,     -2A=-22-179 =…

Q: The first derivative of a continuous function y = f(x) is y' = (12x - 10x²) (3-x)². Find y' and then…

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