Find all solutions of the equation in interval [0,2pi). 6sin^2(x) = 6+3cos(x)

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A: The given limit limx→∞4x-34x+54x+1

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Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

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A: The supply and demand function,Sx=4x2+11x+43Dx=115-x

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Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

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Q: 3. (х+1)dy %3D (2хе* - ху-2у)dx

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Q: 3x4 – 4x3 – 12x² + 18 f(x, y) = 12(1+ 4y²)

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Q: Evaluate the limits algebraically (using limit laws): Vt2 + 9 – 3 lim- t-0 х2 — 1 lim(2x² – 3x + 4),...

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Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...

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A: topic - exponential function

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Q: Find the derivative of x/ex^2.

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Q: f(x) = VT cos x2 COS 2x f(x) = x² + 4

A: Here we have to use the product rule Quotient Rule to find the derivative of the given functions.

Q: (a) Evaluate sin 2z -dz, 3z -ĝi where C is an anticlockwise unit circle centred at the origin.

A: Follow the procedure given below.

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Q: For the functiong whose graph is given, state the following. (a) lim g(x) = X- 00 (b) lim g(x) = X--...

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Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: Vx2 64 dx. Evaluate x3

A: Given

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A: Introduction: The formula of first principal of derivatives is given by, f'(x)=limh→0f(x+h)-f(x)h Wh...

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Q: Evaluate the indefinite integral. | sec²(v#) dx

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Q: Væ2 - 64 dx. Evaluate

A: To evaluate: I=∫x2-64x3dx Substitute u=x2-64⇒du=12x2-64(2x) dx⇒dx=ux du  

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   −∞ x (x2 + 4)2 dx

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Q: y : 3

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