con 2. 體 + dt +13y = 3sin(2t)

Q: Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ − x + y = 0 (b) x…

A: 4x3y2+x4y3-x+y=0Differentiating both sides and isolating y' we…

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A: see below the answer and calculation

Q: dx 2. √ 9x² + x³² 12.

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Q: 332. f(x, y) = x² + y-e³

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Q: Change the Cartesian integral to polar coordinate dy dx 171-72 حول من كا الا بولير -1 0

A: ∫-11∫01-x2dydxIn polar co-ordinates, Let  x = r cosθ    and    y= r sinθThen , r2 = x2+y2     and…

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Q: > Write a triple integral including limits of integration that gives the volume of the cap of the…

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Q: x 0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this…

A: The given function,     fx=x-1,x&lt;01,x=0x2-1,x&gt;0

Q: 2. Find the MacLaurin polynomial of degree 7 for the function F(x) So sin (6t²) dt.

A: SOLUTION-

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Q: Decompose v into two vectors v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v=2i+j…

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Q: 5 1 Let f(x)= = on the interval [1,4]. For a E (1,4), construct a rectangle from x = 1 to x = a with…

A: Maximize area

Q: Question Define R as the region bounded by the functions f(x) = 2x + 1 and g(x) = x + 1 between x =…

A: The functions f(x)=2x+1 and gx=x+1 between x=1 and x=3, the region is revolved about x-axis.

Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral

Q: A company determines that its demand function is given by p(q) = -0.7q+2056 and that its cost…

A: A company determines that its demand function given by p(q)=-0.7q+2056 and that its cost function is…

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: Find the general solution of d²y dt² + dy + 20y=e-2t sin(4t).

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Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

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Q: Direction: Evaluate the following Definite Integrals Show a complete solution and annotate each…

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Q: f(x)= (7x¹-5x-2)

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Q: 27. Given f(x)= F(D)=2 (X+) (x-1) A. I only B. II only x² -1 2 6 x #1 x = 1 I. II. III. e shituse…

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Q: 19. x'dx √√5x² +4 -S

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Q: What is the second derivative of the function y = -6 sin x cos x where x is? Round your answer to…

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Q: 2. [ xsec’x cot xdx tamol svode se gniau s 3. ftsin2t dt

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: f(x) = (6x² - 2x+1)^

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Q: O C. Z= (sin O D. Z= (cos + i cos Write the complex number 9-9√3 i in exponential form. z= (Simplify…

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Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: x³-4x²-3x+1 1 - dx 3x + 2 5. f 6. dx

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Q: 18. ydy 5-y

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Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: As shown in the required readings or videos use Euler's Method with a step size of h = .1 to…

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Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

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Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

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Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: The task is to set up an iterated triple integral equal to the volume of H using spherical…

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: We have to find the population.

Q: 2. Use differentiation to find a power series representation for f(x) = 1 (1 + x)² °

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Q: Find the length of curve x = t², y = t³ from x = 0 to x = 5.

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Q: EXAMPLE 6 Evaluate lim x In(x³). x →0+ SOLUTION The given limit is indeterminate because, as x→ 0+,…

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