17. SHOW ALL WORK Use De Moivre's Theorem to evaluate the expression. Write the result in standard form. (1 – 1)12

Q: Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and…

A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

Q: Let F = (5x,9x, 4) and G = (4,9x, 5). Calculate curl(F). (Give your answers using component form or…

A: The given functions are F=(5x,9x2,4) & G=(4,9x,5)

Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 27x² + 108x + 5 The…

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Q: f(x,y) %3D —4у3 — 4ху — 12у — 3х? - 5х- 21 then fyy equals O -6 -12y? - 4x – 12 — 4y — 6х — 5 - -24y…

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Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

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Q: If 0 = then sin(8) = cos(e) %3D Give exact values. No decimals allowed! Submit Question

A: Given θ=2π3We can convert given raidans to degree. So, 2π3=2*1803=120°120=180-60We know that…

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vỹ The domain of…

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy…

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Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: 4) Owners of a boat rental company that charges customers between $85 and $375 per day have…

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: Find the length of arc of the given curve.

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE:…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Our Aim is to set up the form for partial fraction decomposition given that:--12x-9x+85x-1-(i)

Q: State the definition of the interval of convergence of a power series. Find the radius of…

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Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

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Q: 1. Find the average value of f(x) = on [0, 1].

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Q: Question A spherical balloon is being filled with air at the constant rate of 10 cm'/sec. How fast…

A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: marginal cost of a product is modeled by dx/dx = 14/ (14x + 9)^1/3 where x is the number of units.…

A: Given query is to find the cost function.

Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions…

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Q: Let f be a twice differentiable function such that f(1) = 2 and f (3) 7. Which of the following must…

A: We have to choose correct option  Here using Lagrange mean value theorem

Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = -9 plane,…

A: Let's find.

Q: 6. If f(x) = 7 + + find f'(x). Find f''(x).

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Q: Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of…

A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

Q: 2x3 — 18х2 + 40х Limits. Evalute lim X→5 x2 rounded to 4 decimal places. 8х + 15

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Q: etermine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: Determine whether the following statement is true or false. If f'(c) = 0, then f has a relative…

A: To determine true or false.

Q: Use the formula k(t) ||r'(t) × r"(t)|| to find k(t). ||r(t)| r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk

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Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

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Q: Tangent Line. If p(x) = 3x² + 2x4 + 8 + 2 Then the equation of the tangent line to the function p(x)…

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Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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Q: Given the pair of price-demand and price-supply equations below, calculate each of thne following:…

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Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: Differentiate the function f(x) = x^1/3 f'(x)=

A: Given query is to find the derivative of the expression.

Q: Consider the sequence {10, -2, ) Find a formula for the general term an of the sequence, assuming…

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Q: What is the value of the definite integral 61 +2 dt?

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan A: f(t)=3090000e0.02t⇒f(5)=3090000e0.02×5⇒f(5)≈$3,414,978

Q: Question A vertical cylinder is leaking water at a rate of 5 m /sec. If the cylinder has a height of…

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Q: 15 dx +C + x2

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Q: Calculate div(F) and curl(F). F = (y, 8z, x) (Give an exact answer. Use symbolic notation and…

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Q: If e = then %3D 4. sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

A: Follow the procedure given below.

Q: Find the value of m for which the equation x' + y? – 2y + 4x –m = 0 represent a point. O NONE OF…

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Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…