Evaluate the integral. 2 [²(x - (y- - 3)(2y + 3) dy

Q: Find the indefinite integral. 1 √3x + 2dx 1 √3x+2dx=

A: We need to solve indefinite integral.

Q: y" - 6y' +9y = te³t, y(0) = 0, y'(0) = 5

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: Question What is the derivative of f(x) = 2 cos (x) + 3 sin (x) at the point x = Z? Do not include…

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Q: √ √ [ 23/₁ + √² + √i ] α₁ dt

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Q: The derivative of fog is equal to the derivative of gof Ignore "Give your reasons" below. There is…

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Q: Find the maximum rate of change of the function f(x, y) = 4y³ I at the point (2,1)

A: fx,y=4y3x

Q: Which term in the following matrix is "11? 3 11 11 -8-4 7-21 7 12 2 13 0-9 1

A: The given matrix is;  [3   11   7    -2 -8    -4   12   2 1    13    0    -9]

Q: Graph the sets of points whose polar coordinates satisfy the inequalities 0 s0s- 4,120. Choose the…

A: We need to identify the graph that represents the inequalities 0≤θ≤π4 and r≥0

Q: Find the divergence of the vector field F = div F = 110 Calculator

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Q: Which of the following is equivalent to A. J [sece tane de B. [seco de 1 SJ dx after a trigonometric…

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Q: Find the length of the curve. 2 x= (2t+1)3/2 3 Osts 12 The length of the curve is. (Simplify your…

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Q: The gradient of f(x, y) = xy at (x, y) = ( − 1, 2) is

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: A)    cos2theta - cos theta= 0 B)    Solve for x  2ex-1 = 14

A: Given equation  A) cos2θ - cosθ = 0

Q: 7. y" - 4y = 3e¯t, y(0) = 1, y'(0) = = −3

A: Given: y''-4y=3e-t,y(0)=1,y'(0)=-3 The objective is to find the solution to the given initial value…

Q: Calculate f f(x, y, z) dS for the given surface and function. (r, 0) (r cos(0), r sin(0), 0), 0≤r≤4,…

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Q: 9. y" + 2y' + 5y = 10 cos(2t), y(0) = 1, y'(0) = 1

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Q: 1. 45. y = x²-1⁄ln x, In x, [1,e]

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Q: xy 4√√4 at the point (2,8,8), and use it to Find the linear approximation to the equation f(x, y) =…

A: Linear Approximation of f( x , y ) at point ( x0 , y0 ) is given as  L( x , y ) = f( x0 , y0 ) + fx(…

Q: Find the equation of the hyperbola with major axis endpoints at (3, 2) and (3, 4), and having one of…

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Q: Given f(x, y) = sin(x + y) where x = sº s5t³, y = 5s - 3t. Find fs(x(s, t), y(s, t)) = f(x(s, t),…

A: f(x, y) = Sin(x + y)x = s5t3y = 5s - 3tTherefore,f(x(s, t), y(s, t)) = Sin(x(s, t) + y(s, t)) f(x(s,…

Q: Find the directional derivative of the function f(x, y) = ln(x² + y²) at the point ( − 1, 3) in the…

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Q: 6. y" +9y = cos(3t), y(0) = 2, y'(0) = 0

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Q: Sin ² (x20) dx Choose the correct value of In ² (x20) dx below. A. x In ² (x20) -40x In (x20) +20x+C…

A: ∫ln2x20dx

Q: A point of inflection is the point where the concavity changes Ignore "Give your reasons" below.…

A: A point of inflection is the point where the concavity changes Ignore "Give your reasons" below.…

Q: Evaluate the integral. 0 π/2 cos(0) de

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Q: 1 Find the area of the surface generated by revolving the curvex=cos (4t). y = 5+ sin (4t) on Osts…

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Q: Find the absolute maximum and minimum of f(x, y) = 5x + 5y within the domain x² + y² ≤ 2². 1.…

A: Concept: Absolute maxima of a function refers to its highest point within its whole domain, whereas…

Q: If d(w) d' (w) = Preview π/4 W tan (₁ 0.66) dz dz then

A: ⇒ given d(w)=∫wπ4tan(z0.66)dz

Q: ind the area of a circle whose diameter is 24 yards. (Use 3.14 p

A: The diameter of circle =24 yards Let radius of circle =r yards

Q: = f²³² € 0 Given F(x) = -t² e dt, use FTC Part II to find F'(1)

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Q: 2-tan 0 4 de

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Q: Question What is lim q(x)? x→0+ q(x) = 6 X COS 2 (x + 7/1)

A: q(x) = (6/x)-(2/cos(x+π/2))  We have to find lim x->0+  q(x)

Q: Consider the function f(x) = x²e³². f(x) has two inflection points at x = C and x = D with C < D…

A: f(x)= x2.e5x  we have to find inflection points and concavity

Q: Sasha has a boat that has a speed of 12 km/h in still water. At what angle upstream should she head…

A: We have to find angle.  We can use relative velocity concept for this.

Q: n=1 (√n+12-√n+11) A formula for the kth term of the sequence of partial sums is Sk= (Type an exact…

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Q: Question Given (-6 (-62⁰ - 42³ + 5x – 3)dx, evaluate the indefinite integral. Do not include +C' in…

A: Given    ∫(-6x6-4x5+5x -3)dx   We need to integrate this.

Q: Let lim f(x) = 8 and lim g(x) = 6. Use the limit rules to find the following limit. x-2 X-2 lim X-2…

A: given, limx→2f(x)=8  and limx→2g(x)=6let   B=limx→2f(x)+g(x)4g(x)

Q: Thank you so much for the step by step, I am confused how we got \sqrt{ 3} over 2. I am also…

A: I am confused how we got \sqrt{ 3} over 2. I am also confused when we added the 2 \sqrt{3 } over 2…

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 3)…

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Q: Use a graphing utility to graph each function in the interval [0, 2π). y = 2 cos2(x), y = 2e-x + 2x…

A: To use a graphing utility to graph each function in the interval [0, 2π). y=2 cos2x, y=2e-x+2x-2 (a)…

Q: Find the indefinite integral. 1 2 + 5x6 (30x³) dx 1 2+5X -(30x5) dx = 6

A: ∫12+5x6(30x5)dx

Q: The integral in this exercise converges. Evaluate the integral without using a table. 2dx ja j 2dx…

A: We need to solve definite integral.

Q: J.F S F = (e sin y, e cos y, yz²) is the surface of the box bounded by the planes x = 5, y = 4, z =…

A: Calculate ∬F.dS, where F=exsiny, excosy, yz2 S is the surface of the box bounded by the planes x= 5,…

Q: A box with a square base and open top must have a volume of 62500 cm³. We wish to find the…

A: We know that volume of the box is the product of area of the base and the height of the box.  Let x…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x + 8x+16 D. 2 X 2 X…

A: I=∫x3x2+8x+16dx

Q: Maximize z = 2x₁ + 7x2 subject to 5X + Xy 540 7x + 2x₂ 560 x₁ + x₂ ≤50 x₁, x₂ 20. C Select the…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use variables   x=x1,…

Q: Determine if the sequence converges or diverges. I it converges, give the value. 2. {an} = {5 -…

A: Determine if the sequence converges or diverges. If it converges, give the value.  {an}= {5-1/n}

Q: What is the minimum cost for the paint? (Round your answer to two decimal places.) 33

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Q: Determine if the sequence converges or diverges. If it converges, give the value. 2. 2n 3. {an} = {…

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Q: Use either the limit comparison test or direct comparison test to find if the series converges.…

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