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

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Q: find the general solution of the differential equation. y'+2xy=2xe-x^2

A: Find the general solution

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

A: Given÷

Q: Use hooorthms to Solve. 18103+x= हा c\ २ ५६.

A: The given equations,17. e3x=1018. 103+x=23

Q: firms production function is Q ( L) = 15L2 - 0.1L2, where output (Q) is a function of a single input...

A: Find your answer below 

Q: Evaluate V (6x + vy) ds where C is given in the accompanying figure. (1,1) 1- y=x y=x2 (0,0 ds = (Ty...

A: We need to evaluate integral.

Q: Integrate S 3xe4 dx

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Q: Find the exact value of the expression. co(sn-() - cot-(V3)) 2 Need Help? Read It

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Q: Find the area of the surface generated by -y -y + e 2 revolving the curve x = in the interval In 2 O...

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Q: Given f(x, y) = 6x²y – 5xy*. Compute:

A: This question is based on Partial differentiation.

Q: the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

A:     L7t32=7Lt32Use Laplace Transform table:   Ltn-1/2=2n-1!!π2nsn+1/2=7·3π4s52=21π4s52

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Mini...

A: Let,  f(x,y,z)=x2+y2+z2 & g(x,y,z)=x+y+x-27=0...(1) Let, λ be a Lagrange's multiplier such that:...

Q: Use the limit process to find the area of the region between the graph of the function and the x-axi...

A: here we can see that the  graph is between 2 to 4 so the first column graph is right  but from equat...

Q: 2. Which of the following is an example of a partial differential equation? SHOW YOUR COMPLETE AND C...

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Q: The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where ...

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Q: Ted the of eae hee an t a

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

A: Given query is to find the value of the integral  

Q: Use the fact that the volume of a tetrahedron with adjacent edges giver by the vectors u, v and w is...

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Q: Derivative OF the FollOwing 1.y sin x)* 2. y-Tex te* 3. d dx ( scextanx t in csccxttanx)

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Q: Determine whether the following series converges or diverges. n+9 Input C for convergence and D for ...

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Q: 1. Evaluate the following integrals: g) . dx sin-1 x V1 – x2 h) . 2 cos(sec-1x) dx 2/V3 xVx² – 1

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Q: 00 n+47 Vn²+3n)n=1

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Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area. (Us...

A: This is an optimisation problem, we use derivatives to find critical points and use second derivativ...

Q: 5. Explain how you can differentiate the tangent function using an identity. Find the derivative of ...

A: Given query is to find the derivative.

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this functio...

A: Consider the function

Q: 5. (a) Complete the following unit circle. 0 or 27 11л 6 (b) Use the unit circle above to evaluate e...

A: on circle unit are angle        unit 0              (1,0) π/6          (0.866 , 0.5) π/4          (0...

Q: f"(x) = 13r- (x²-1)a 2.f(x) = f'(x) = r* +1) 4x (x²-1)2 Determine the intercepts. Determine the equa...

A: f(x) =2x2x2-1Intercepts:x=0, y=0(0, 0),y=0, x=0X and Y-intercept: (0, 0)Asymptotes:x2-1=0x=1, x=-1  ...

Q: Find a set of parametric equations for the line passing through the point (6, 0, 7) that is parallel...

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Q: x+1 f(x) = In(*) 4V C. 2-x

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Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 & y=π is as shown b...

Q: 1. Which of the following are trigonometric identities? Select all that apply sin e tan 8 = cos e co...

A: Find your answer below 

Q: Find the area bounded by y= x^2-2x and y= x. Also illustrate the graph

A: Topic = Area

Q: ach of the following with the correct psolutely convergent. verges, but is not absolutely conver erg...

A: We have to match according to the given information

Q: D- Hyperbolic Functions ) y= cosh (dx-1)

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Q: Problem : Find the derivative of the series 16x4 2x 4x2 8x3 32x5 f(x) = 1+ Also 1! 2! 3! 4! 5! show ...

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Q: Use differentials to estimate the value of V16.3. Compare the answer to the exact value of V16.3. Ro...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: Given the piece-wise function x² – 2x + 5, 3x2 – 2x – 5 f(x) = 0 2 Determine whether f is continuou...

A: G

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.82x + ...

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Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the next qu...

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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: x+ 400р %3D2500

A: answer of given question is in step 2

Q: 2) x" = (Power RUle, n any nonzero integer)

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Q: 1. S sin sin de

A: ∫sinx5sinx2dx Use the identitysinAsinB=12(cos(A-B)-cos(A+B))   ∫sinx5sinx2dx=12∫(cos(x5-x2)-cos(x5+x...

Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given b...

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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: Find a polynomial of degreen that has the given zero. (There are many correct answers.) Zero Degree ...

A: Given query is to find the the polynomial of the degree three and zero at 9.

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

A: The integral is ∫4+1t31t2dt

Q: A closed rectangular box is to have a square base and a volume of 40 ft3. y Letting x denote the len...

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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