Find the moment of inertia about the x-axis of a thin plate with density 8=1 bounded by the circle x² + y² = 16. Then use your result to find I, and lo = (Type an exact answer, using as needed.)

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A: Use plane concept

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A: Let's solve.

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A: f be a continuous function with f'x=3x2-6x

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Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

A: To find general solution.

Q: Find h' (t) if h(t) = h'(t)= [] 5 1/3 2 3/7

A:

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Q: 1 x xy 14. JJ j dz dy dx 0x²0

A: We can find the value of the integral.

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Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

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A: If the tangent line of a curve at a point is vertical line then its slope is infinite.

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Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

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Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

Q: y-values 9: 8 7 6- 5 4 3- 2- 1 g(x) f'(1) = 1 If f(x) = g(h(x)), then --1/32 2 3 x-values Submit…

A: 1st We have to extract equation from given graph. Then we have to apply according to question asked.…

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

A: The total cost of manufacturing x auto body frames is Cx=50,000+700x

Q: Find the trigonometric integral. (Use C for the constant of integration.) (cos(20))(sin(0) +…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t-1), y(0) = 8 y(t) =…

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Q: 3. Evaluate tan¹x² 1+xº dx

A: dtan-1(x)dx=11+x2

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A:

Q: 2) Find the indefinite integral by using the method of partial fractions: 3x+5 x²-9x+18 S- -dx

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Q: x² + x + 72

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Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

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Q: What is the equation of the line tangent to curve defined by x + 4y² = 17 at the point (1, -2)?…

A: equation of line tangent

Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

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Q: Determine whether the conversard or arguil Gre your divergend. Justify @ 1 + 1/8 + 2/27 + 2/64 t...…

A: Note: Since, the student has clearly mentioned to solve only question no. 1, so we are solving…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: Let f(x,y)=- lim f(x,y)? (x) (0,0) x8+21² Using the two-path test, lim (x,y)-(0,0) Which of the…

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Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator…

A: According to question,Given Data,xt = t2 + 2e-2t + sin 3t ut