20 15- 10- 5- 10 15 20 The rate at which people arrive at a theater box office is modeled by the function B, where B(t) is measured in people per minute and t is measured in minutes. The graph of B for 0

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A: To verify: cos2xtan2x-1cos2x=-1

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A: We will solve the differential equation. 

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Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1  

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Q: 3x5 – 20x3 f(x) = f'(x) = 15x2(x – 2)(x + 2) f"(x) = 60x(x² – 2) he relative maxinma relative mininm...

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A: x2+y2-12x+4y-5=0Differentiate w.r.t x2x+2yy'-12+4y'=02(x+yy'-6+2y')=0x+yy'-6+2y'=0Substiute (x,y)=(0...

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Q: 5. (4x'y — 15х2 — у)dx +(x* +3у?- х)dy-0

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Q: Given Cost and Revenue functions C(q) = q° - 8q + 53q + 5000 and R(q) = - 3q + 2400q, what is the ma...

A: We are asked to find the marginal cost

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Q: r(t) 3 A pump allows water to flow into a tank at the rate of r (t) = 3t liters per minute, where t ...

A: Rate of change, r(t) = d[c(t)]/dt  Where, c(t) is the amount of water at time t.

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Q: Find dy/dx in terms of x and y if x²y – x – 4y – 9 = 0. dy dx

A: Here we will use the product rule for derivative d(uv)=u.d(v)+d(u).v

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Q: 3x2y + ey )dx + ( x³ + xev – 2y)dy=0

A: This equation is of the form Mdx+Ndy=0M=3x2y+ey ,N=x3+xey-2yChecking for exactness∂M∂y=3x2+ey ∂N∂x=3...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We need to find the differential equation of the family of the plane curves described below: Family ...

Q: Given cost and price (demand) functions C(q) = 100q + 40,300 and p(g) = - 1.8q + 890, what is the ma...

A: Given query is to find the marginal cost at production level of 60.

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Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: Find the values of the six trigonometric functions of 0. (If an answer is undefined, enter UNDEFINED...

A: Solution )csc(θ) = 6   1 + cot2 θ = csc2 θ 1 + cot2 θ = 62 1 + cot2 θ = 36  cot2 θ = 36 - 1 Cot2 θ =...