Find the Yalue + Cas

Q: S(cosh4x + sinh2x)dx

A: Given: ∫cosh4x+sinh2xdx

Q: 24) Identifa tue internel of convergen ce of a power ser's Ž (3)" n-1 (-3)", n=) a ) b) c) d) 3 2x23…

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Q: estion 6 of 10 w Policies rent Attempt in Progress Find V (V × F) if F(x, y, z) = 8 sin xi + 3…

A: We know divergence of curl of any vector function is zero.

Q: Evaluate the defınite integral. 8 i + e¯´j+tk)dt 0, – (e-1 – 1) j+ k i-e'j+;k 8 (e* – 1) i – (e- –…

A: The given integral is: I=∫01e8ti+e-tj+tkdt   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The…

Q: Find curl (8z i + 9x j + 10y k). curl(8z i + 9x j+ 10y k) Di +(i Dj +( )k

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Q: Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k.…

A: We can solve this as follows:

Q: Use the formula k(t): |r'(t) × r"(t)|| to find k(t). r(t) = ti + t°j K(t) =

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Q: Apply

A: We will solve the integration.

Q: Solve the following second order homogeneous linear differential equation if the 4 initial…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

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Q: 2- A radio station conducts a poll about gun control. It invites listeners to call one phone number…

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Q: . Tind the general solution of the given variable separable can ation. O 20oSx dx - 3sinx Siny dy =0…

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Q: 8 Evelluate the double integral: + 3x) dydx

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Q: Find curl(6z i + 7x j+ 6y k). curl(6z i+ 7x j+ 6y k) = ( i )i + ( i )j +(i )k

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Q: Describe the graph of the equation. r= -3 i+tj+(t2-1) k O Itis a parabola in the x = 3 plane, vertex…

A: This is a problem related to parametric equation plotter. Based on the x, y and z value in terms of…

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt' the product directly…

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Q: Q5) Find the integration by using (by part method): Se3x sin X dX

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Q: THAnUNIVERS Q3) Find the integration: S- (x+1)/x2+2X

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Q: X1 + 2x2 + x3 = 12 X1 – 2x2 + x3 = 0 X1 + x2 – x3 = -1 Solve the following system using Gauss-…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: 2. Find the r educed echelon form of the fo A = 0 0 0 6 54 0 (714161 Show your working

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Q: (1) fx sin x dx

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Q: 3.

A: ∫x41-x2dxPerform trignometric substitutionSubstitute…

Q: The graphs of f(x) and g(x) are shown. For what values of x does f(x) = g(x)? x = -2, x = 0, x = 3…

A: We have to choose correct option

Q: Find r'(t). r(t) = (tan (6t))i+t cos(t)j – Vik I| NOTE: Enter your answer in terms of i, j, and k.…

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Q: Suppose that f(r, y) ry. The directional derivative of f(x, y) in the directional (1, - 1) and at…

A: directional derivative f(x,y) = adf/dx +bdf/dy (a,b) = (1,-1) df/dx = y df/dy = x directional…

Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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Q: Find the general solution separable equathon. t) 2casx cosy dx-3 sinx sinydy = 0 o the given…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: rrent Attempt in Progress Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – v NOTE: Enter your answer in…

A: We have to find the derivative

Q: Find the equation of each normal of the function f(x) = 1/3x^3 + x^2 + x - 1/3 which is parallel to…

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Q: Find the differential dy: y = sin(av). dy = " cos (av) [2v + a+i In a (1 + Ina p + x!+ In ¤ (1+ ln…

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Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

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Q: Cives f(x.g) = メー2メラーリメy+5 Find the Ccritical points oo f and all detevmine the nature of each of…

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Q: Find the tangent plane to the equation z 5z° + 4y – y at the point (4, 2, – 66)

A: Given: z=-5x2+4y2-y      4,2,-66

Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

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Q: S-2 ds (s-1)(s-5)(s+3)

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Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: Find the gradient vector field Vf of f. f(x, y, z) = xSye'/z Vf(x, у, 2) %3D

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Q: Consider the following. z = x2 + y2, x = 4s + 8t, y = s +t az az and as Find by using the chain…

A: Here, the given functions are: z=x2+y2, x=4s+8t, y=s+t So, z is a function of x and y and x and y…

Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 3yz²k; (2,…

A: This question is based on divergence of vector.

Q: 4 of 21 Which of the following is not an identity? I. tan z + cot z = sec z csc z II. cos? z = sin…

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Q: Sy³/y² + 9dy

A: ∫ y3y2+9dyLet u=y2+9=∫u2-9u2du=∫ u4-9u2du=∫ u4du-∫ 9u2du=u55-3u3Substitute back…

Q: dg 1+sin 2x Find of g(x) dx 2x-tan 2x

A: To find the derivative of given function.

Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). 13 9ts r(t) = e"i+etj K(t) :

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Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 4.…

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Q: S V25 – 4x²

A: For the solution follow the next step.

Q: -+14х+13 dx 3x х+4

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Q: 1. Let -1 -5] 3 -7 3 -6 -3 A = B= 6. 5 -3 -2 4 2 | -3 Determine which (if any) of the following…

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