y = elnx3

Q: Opposite (additive inverse) matrix (mj), m11 = m12 = m13 = m21 = m22 m23 = m31 = m32 = m33 = ||

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Q: Find a homogeneous LDE with constant coefficients that has y= - 3xsin2x as a particular solution.

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Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the ra...

A: Given temperature difference 500

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: G

Q: Evaluate the integral. a sec (4x) da =

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Q: Find y(0), y(1), y(e), y', y", and a formula for y(") where n is a natural number. Use DNE, Does Not...

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Q: Find the general solution of (x² +y² + 1) dx + (x² – 2xy) dy = 0 А. х? - у? — ху — 1 %3D Сх В. х2 + ...

A: As per guidelines, we"ll solve only first question. Uf you want another questions to be solved, repo...

Q: Find the area of the region bounded by the graph of rod-. the yais, and the tangent line to the grap...

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Q: A man 6 ft tall walks along a level sidewalk away from a lamppost. On the post is a street light 18 ...

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Q: f(t) = S1 1-T1+T

A: Fourier transform of f(t) is  f^w = ∫-∞∞f(t)e-iwtdt Here  f(t) =   {  1    1—T ≤ t ≤ 1+T            ...

Q: Use linear approximations to estimate the following. 1. sin 9/4

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Q: Determine the general solution of the following homogeneous linear differential equations. Select th...

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Q: The derivative of the trigonometric function y = x csc 3x is A. -csc 3x ( 1 + 3 cot 3x) B. csc 3x (1...

A: d(u.v)dx=u.dvdx+dudx.v  [ Product Rule of differentiation ] d(csc (x))dx =-cot(x)csc(x) dxndx=nxn-1

Q: Find the general solution of x² (y + 1) dx + y² (x – 1) dy = 0 x² + y? С. 2ln[(y + 1)/(x – 1)] = C x...

A: According to our company's guidelines I can only answer first question since you have asked multiple...

Q: Find the derivative of y=x²sin⁴x+xcos²x

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Q: Find laplace transform h(t) = e^3t+cos(6t)-e^(3t)cos(6t)

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight tow...

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Q: Transposed matrix (n¡) n11 = n12 = n13 = n21 = n22 = n23 = n31 = n32 = , N33 =

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Q: Solve for dy when y = <<+3x, x=2 and dx = 0.5. 2.500 0.125 2.625 2.125

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Q: dr 4+922 Select one: Oa 금tan-1(플) +c а. O b.itan-1(플) +c Oc음oin-1(플)+c С. O d을tan-1(플) + c edited 3:...

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Q: Find the indefinite integral. (Use C for the constant of integra 2 xp xV4 - (In x)2

A: Solution

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: mx + 1 1 Find m if lim x +2 x² + 1 O 3 O 2 O 1

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Q: Find the area of the region enclosed by the given curves. y = 8 cos(pi x),    y = 12x2 − 3

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Q: (5D3 — 51D2 + 135D — 25)у %3D0 A. y = ce0.2x + Cze5x + C3xe5x B. y = ce0.2x + c2xe0.2x + C3e5x + Cze...

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Q: 2. Show that cos(@t – B), coswt, sinwt are linearly dependent functions of t. - Show Complete Soluti...

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Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at (5...

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Q: Problem 1 Determine the matrix exponential function e for a. 4- ) A = 3. b. 1 A = 3-1 3 -4

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Q: Find the area bounded by y = 372 y = x = 0 on the first quadrant in sq. I+1' units. O In4 O In2 none...

A: Given query is to find the area bounded by tje curve.

Q: Get the derivative first. Then find the equation off tangent line and normal line to the curve at th...

A: Given , curve y=x/a+a/x point=(a/5,5/2)

Q: 3. Obtain in two ways the general solution of (r + sine - cose ) dr + r (sine + cose ) de = 0

A: Use substitution method

Q: The first derivative of the implicit function sin 2x = cos 2 A. -cos 2x/sin 2x B. cos 2x/sin 2x C. -...

A: The given implicit function is sin(2x)=cos(2y) ......................... (1) 

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the ra...

A: Given,  A body cools at the rate of 0.5°C/sec when it is 500°C above the surroundings. We need to fi...

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: To calculate the given limits and also show that each has a horizontal asymptote.

Q: sec?y = x3 – 2x tan y dy dx

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0\tv1 + t -

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Q: What is the value of this summation given by, J=0

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Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

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Q: 1 – 5z2 + 5 lim 1 + 5z3 Answer:

A: Given query is to find the value of the limit.

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the ra...

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Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) ce...

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Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure t...

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Q: Evaluate the following limit, if it exists: lim 21z14 In (1– z14 27 Note: Write the exact answer not...

A: The given limit is: limx→∞21x14 ln1-27x14 To evaluate the limit.

Q: Find the general solution of (6x2 – 7y²) dx – 14xy dy = 0 A. x(2x² + 7y?) = C B. y(2x? + 7y?) = C %3...

A: As per guidelines we have to solve the 1st one. Upload again for other

Q: y +y= secx

A: We have to solve the problem

Q: It is estimated that t months from now, the population of a certain town will be changing at the rat...

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Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure t...

A: Given: Half life of Carbon - 14 is 5730 years

Q: Consider the function f(x) = 2z- 3z. 0,-V The x-intercepts occur at I= NOTE: If there are more than ...

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Q: Find the general solution of (cos cos y + ycos x ) dx + (sin sin x – x sin sin y ) dy = 0 А. X cos y...

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Q: dy 1 dx х+у+1

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