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Q: A fast-food restaurant has a cost of production C(x) = 14x + 126 and a revenue function R(x) = 8x.…

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Q: 1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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Q: Refer to functions p and q. Evaluate (qop)(x) and write the domain in interval notation. Write your…

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Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: A region bounded by f(x) = x², y = 0, and x = 4 is shown below. 2 Find the volume of the solid…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: The base of a three-dimensional figure is bound by the line y = x + 4 on the interval [-3, 1].…

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Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: = [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

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Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

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Q: a-limx-4(2)

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Q: The velocity function is v(t) = t2 - 4t+ 3 for a particle moving along a line. Find the displacement…

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: I have stated the used formula in the solution

Q: Given the complex-valued function 1+z z² Evaluate f (¹) (A) -4-3i (B) - f(z) = (C) −¹+²i (D) none of…

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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

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Q: Consider the following functions. f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: If A is a symmetric matrix, then AT OA O AI O diagonal matrix none of the above

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Q: off f(x) dx, where Evaluate [ f(x) f(x) dx = f(x) = 18x², -T≤x≤0 19 sin(x), 0≤x≤T.

A: We have to solve given Questions.

Q: r = 7e0.70 ¬ the interval 0 ≤ 0 ≤ 1 and the straight line egment between its ends. -ea =

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Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

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Q: Which one of the following diagram represents: AC CBC a. C. Ό B B B

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Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

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Q: 11. Find the angle between the planes: 4y + 3z = -12 and 3x +2y + 6z = 6.

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤ 0 ≤π/2. 2. Find the length of the r(t)= , 1≤t≤ 5 3.…

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Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x = (0,π). is:

A: Using Integrating Factor formula:

Q: What is the area of a quadrilateral with vertices at (-2,-6), (1,-6), (-2,0), and (1,0)? Enter the…

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Q: Let f be a function with continuous second partial derivatives and define: = = ƒ (xy³, 12) f if you…

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Q: D Operator: Solve the DE y" - 7y" +14y - 8y = 0 y = c₁e¹ + c₂e²x + c3e4x Oy=c₁e²x + c₂e4x + c3e6x y…

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Q: Write the partial fraction decomposition of Do not determine the numerical of the coefficients. x2…

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Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: topic - area bounded by curves

Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: Find the general solution of the differential equation y" — y' - 12y -32t + 24t². NOTE: Use t as the…

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Q: Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2.

A: Area enclosed by curve r=f(θ), α≤θ≤β is given by  Area = 12∫αβr2dθ

Q: The following information is given. f(3) = 5, f(3) = -2, g(3)=2, g(3) = 7 f(5)=3, f'(5)=-1,…

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Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

Q: Find the area of the region enclosed by the graphs of the polar curves given by 8/4, 0 = 0 and r cos…

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Q: B: Solve the following integrations: a- [x³e-2x¹ dx b-fdx +10 c-f3sec³x. tanx dx arks

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Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: I. Integration by Parts. Evaluate the following integrals. 3. sin (In x)dr

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Q: f(x)=5sinx+2cosx,on(−π,π)f(x)=5sin⁡x+2cos⁡x,on(−π,π) a) Determine the intervals on which ff is…

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Q: 2x² = x4+1 (a) Let f(x) = Find f'(x) and find the maximum value of f on [0, ∞) and show that it is a…

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Q: 9. y = logs (e cos(2x))

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Q: Find the area of the region bounded by y=x²-6r+5 and the z-axis. (a) A- 125 3 square units (b) A (c)…

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Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

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