V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

Q: Suppose the velocity function of a particle is given by y = 2 - t- t² at any time t ( time is in sec...

A: We can find the total distance covered in the given time as below.

Q: dy = ay + b whose dt Write down a differential equation of the form all other solutions diverge from...

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Q: 19. State the limit definition of the derivative and use it to compute the following derivatives: d....

A: Find your answer below 

Q: If we are told that f'(5) = 6 evaluate h'(0) where h(1) = f(5 cos r + x² + 2x).

A: Given function h(x)=f(5cosx+x7+2x)  

Q: Find मिव x) e -e e* + eX

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Q: Test the series below for convergence using the Ratio Test. n² 0.8" n=1 The limit of the ratio test ...

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

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Q: I Eliminate the arbitrary constants x = k +ct , y = c²t2

A: Find your answer below 

Q: MY NOTES ASK YO Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementa...

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Q: sin ()-/9 – a² – a V9 - ? +C 81 O sin () -av9- a + V9 – a² + C 0-sin-1 (즐) - 응2V9-2 +23v9-27 + C ○ 뽑...

A: Given: The integral is ∫ x29-x2 dx

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 7/20 cos(10x) dx

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

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Q: y = V(4x + 3)³

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Q: Calculate the indefinite integral 6dy 25 –9y2 -

A: Given: ∫6dy25-9y2

Q: The cubic function of best fit to data is T(x)= -0.0103x^3+0.32x^2-1.37x+46.09 Use this function to ...

A: Basic curve fit problem 

Q: 1. Given a > 0 real, evaluate the following limit: V2a³x – x4 – aVa²x lim a – Vax³ Xa ах

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Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: Vx - 9 lim X→81 X – 81

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Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight incr...

A: We can find the required model as below.

Q: d/dx[(x2 + 5)(x³ - 7) = 5x4 -15x2 + 14x Select one: O True O False 1 1 d/dx(I + Select one: O True O...

A: See the details solution in below

Q: Solve the following DE subject to given conditions, using Separable method. 2. y' (x+2)+4x(y +2y+1)=...

A: Separable differential equation can be written in the form dydx = f(x) g(y). ∫ax+bn dx = 1a.ax+bn+1n...

Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: What is the equivalent degree angle measure for the radian angle measure? Select all correct stateme...

A: As we know that; The angle which in radian can be converted into the degree by formula, θd=180°πθr

Q: A ceramic mug is removed from a pottery kiln once the mug reaches a temperature of 700 degrees Celsi...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Solve the following DE, using Separable method. 1.50 point y'In ly+ x*y 0.

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Q: R(x) = 11(2x + 1)-1 + 22x - 11 where x is in thousands of units and R is in thousands of dollars. (a...

A: R(x)=11(2x+1)-1+22x-11Marginal revenue =R'(x)(a) R(x)=112x+1+22x-11Differentiating R(x)R'(x)=11-1(2x...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

Q: (e* + y)dx + ( 2+ x+ ye' )dy =0

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Q: 9. Reduce the following equation to one of the standard forms, classify the surface, then sketch the...

A: General equation of an ellipsoid is given by, (x-p)²/a² +(y-q)²/b² +(z-r)²/c²= 1

Q: D. Tell if the function is continuous at given interval. 31-35 2x+4 [-2,2]

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Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches wid...

A: Given that , Total length of the sheet = 18 inches find width across the top will give the greatest ...

Q: If sinh(x) = 35 =, find the values of the other hyperbolic functions at x. %3D cosh(x) tanh(x) csch(...

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Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits ...

A: P(x) = −(2x − 1)(x + 1)(x + 4)

Q: Solve the given differential equation. x2y" + 13xy' + 36y = 0 y(x) = ,x > 0

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A: We have to find out sum of series

Q: If sinh(x) = 6 , then x = (A) 6 (B) In(6+ v35) (C) 6 + v37 (D) In(6 + V37) (E) 21

A: This question is based on hyperbolic Sinusoidal function.

Q: Compute the partial sums S2, S4, and S6 of 1 1 + • 6 1 1 + 8 · 10 + + 2. 6 · 8 (Use symbolic notatio...

A: The given series,    12.4+14.6+16.8+18.10+......

Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

Q: Use integration by parts to evaluate the integral: 5t2e-6t dt = %3D

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Q: show complete and detailed solution of the differential equation. NO SHORTCUT!!! sinydy + (x-sin2y)...

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Q: Express the repeating decimal as a fraction. 2.717171...

A: We can find the answer as below.

Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

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Q: f(t) = e-5t

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x³ - 3x? + 4x- 12 2...

A: y = x3 - 3x2 + 4x - 12y = x2(x -3) + 4(x - 3)y = (x2+4)(x - 3)   X-intercept: (3, 0)    [Real values...

Q: F = 2 i +x j – k

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Q: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve d²y/dx² = 2 - 4x. Fi...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: The given series is: ∑k=1∞(-1)k+18kk2 Let, ak=(-1)k+18kk2, k≥1

Q: Find the equation of the tangent line and normal line to the following curves at the indicated point...

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