0. -10 0 -101 -5 0 B = -2 10 2 6. 4 -5 -4 -2

Q: find the solution of initial value problem. Using Differential Equations y'+2y=xe-2x,        y(1)=...

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Q: Given that log(6) ≈ 0.7782, find the value of the logarithm. log(36)

A: Wr have to find the value of log(36)

Q: |Test the series for convergence or divergence. n2 11. Σ (-1)"+1 3 n=1 n' + 4

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Q: Use any test to determine whether the series is absolutely convergent, conditionally convergent, or ...

A: The given series,        ∑n=2∞-1n ln nn

Q: Integrate S 3xe4 dx

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Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: Find the arc length of the parametric curve. x = cos' t, y = sin° t, z = 2; 0 < t < T/2

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Q: Show that every member of the family of functions y = (ln x+C)/x is a solution of the differential e...

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Q: is uniformly continuous by definition on the interval (-1,1) . 4 - * Show that f(x) =

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Q: 3 The name of a straight line that just touches a curve at point A but does not cross the curve at p...

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Ene-n? n=1 O converges O diverges

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Q: Determine if the relation defines y as a ône-to

A: The given graph is: To determine if it is one-to-one.

Q: 1. Determine whether the following series conv. or div. (n+4)! a. Ln=1 4! n! 4n 1 1 b. En=1 4n 2" co...

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Q: 5. Find solution of the system of linear equations. Write clean, and clear. Show steps of calculatio...

A: This question is based on solution of system of linear equation using matrix.

Q: 1 2 3x2

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Q: nt Use the model A=Pe" or where A is the future value of P dollars invested at interest rate r conti...

A: Given A=P(1+rn)nt

Q: If 0 = 4 then find exact values for the following:

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Q: Let x = 0.42 and y = 1.1. Determine the value of C when you evaluate tan-(2x)dx. ( Use 2 decimal dig...

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Q: (* + 2)(r – 8) f(x)=- 6)(s + 4) x =-6, x= 4 h(x)3=

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

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Q: 3 Approximate dx using 6 rectangles. +2 It is approximatley. (Round final answer to 3 decimal places...

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Q: Suppose f(x) = [ 6t² /1+t° dt .

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Q: Interpret the standard curve below. 1.4 1.2- 1.0 - 0.8 0.6 0.4 0.2 0.0 200 400 600 800 1000 1200 140...

A: Explanation of the answer is as follows

Q: V3x2 + 6 f) lim x+0 5 - 2x g) lim 4x2 -х + 2х x--0 x2 h) lim x-+0 1- cos2 x tan 7x i) lim x-0 sin 3x...

A: ' According to the guidelines issued by the company we are supposed to answer only first three subpa...

Q: Find the area of the surface generated by revolving the curve x in the interval 2 Osys In6 about the...

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Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative 2. y = ...

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Q: 9 checik whether the following statemects are true or False. lif En an is conditionally convergent, ...

A: For (i), Let us take an=(-1)nn. So, the series ∑n=1∞an is conditionally convergent but ∑n=1∞an is di...

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: sin x 5. Use series to evaluate dx .

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Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: dy Then find the slope of the curve at the given point. Differentiate implicitly to find dx y -x = 2...

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Q: 2. Find the interval of convergence of En=1 n(n+1)

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Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 4 1 2 3 4 6. 7 8 -3 -7 -8 flx) = This graph represents the func...

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: Solve the following

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Please see the answer below.

Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,...

Q: Average Life Span One reason for the increase in human life span over the years has been the advance...

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Q: Let R(x, y) = Vrỹ = Vx Vỹ. Suppose x is measured as 2 with a possible error in measurement of ±0.08,...

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Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four decima...

A: In Polar Coordinate ,        x= r cosθ   and    y = r cosθ and      dx dy = r dr dθ

Q: 8. ye = In(xy) 9. (y- 5)? = 8(x – 3) _10. 2x – xy +y = 0

A: We can solve this as follows:

Q: 3 5 k3 5 d. k 225 k=1 k=1 EG+ 2n) е. k=1

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Q: The function f(x) = 2x + 1 is defined over the interval [2, 5]. If the interval is divided into n eq...

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Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

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Q: - 4q° + 700g , where R(q) is in dollars and q Suppose a product's revenue function is given by R(q) ...

A: The revenue function is given by Rq = -4q2+700q Formula Used: MR62 = dRdqq=62 To evaluate: The margi...

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: y aln(a) – y = 0; y(2) = In(4)

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Q: 5. x = 8- y², x = y2 – 8

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Q: 6 f(16) = 63. X, f'(x) =

A: answer of given question is in step 2