A semicircle plate 7 ft in diameter sticks straight down into freshwater with the diameter along the surface. Find the force exerted by the water on one side of the plate. Assume the density is 62.4 lb/ft² The fluid force on one side of the plate isb.

Q: e antiderivative of the function: f(x) = 4x³ – 7 25-28+c ³-x+c Ox-x8+c

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Q: In Exercises , determine whether the function is even, odd, orneither.11. y = 1 - cos x 12. y = sec…

A: A function y=fx is even if f-x=fx and function y=fx is odd if f-x=-fx

Q: 6. Answer the same questions as in the previous exercise for the function f(x)=e-²/2 a. Determine…

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Q: Ornithologists have determined that some species of birds tend to avoid flights over large bodies of…

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Q: Solve the given differential equation. et² dy=x dy=x√2-ydx

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Q: Find the surface area of revolution about the x-axis of y = 6 sin(6x) over the interval 0 ≤ x ≤ K6 π

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Q: Find the curvature K(t) for r(t)=i+2tj +37²k at t = 0.

A: To find the cutvature kt for rt=i+2tj+3t2k at t=0.

Q: You are serving 40 mixed green salads, each requiring 2 Tbl. of Italian dressing.  How many cups of…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 5x − 6x² and…

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Q: (i)Suppose that g(x) = 1 + √x and f(g(x)) = 3+2√x+x, then find the function f(x) and (ii) let us…

A: Let's find function f(x) and value of c and d.

Q: Find the equation of the plane containing lo and l₂

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Q: Calculate the simple interest earned. Round to the nearest cent. P = $2900, r = 5%, t = 1 year

A: We have given  P = $2900 r = 5% t = 1 year  Using formula for simple interest  I=p×r×t100…

Q: (1) Let A = 27-J²+² D²³² = 11/1/201 + R² B = -3P + 25-R³₂ C = P²+5J²³ - 2K² 2] € = 42-3² 9. Find 35.…

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Q: 14. The curve with implicit equation x² + y² - 2x + 2y = 23 is given. a. Show that there are two…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 22. Quadratic formula is the most popular way for solving the quadratic equation. That is if ax² +…

A: Let's solve for x.

Q: lim √√x²+x+1-√√x²-x+1)

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Q: b Evaluate Staidx or Sofaidr (x² + 5 dx x3x²+x+3

A: We will use partial fraction to rewrite the integrand in a form where we can integrate.

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: The set of zeros of f(x) = x³ + 4x² + 4x is (B) {0, -2} (C) {0, 2} (D) {2} (A){-2}

A: find the zeros of the function fx=x3+4x2+4x

Q: 11. Sketch the graph of the following functions: a. f:y= b. f: y = 1

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Q: 4. Find the slope of the tangent to the curve xy² + √√xy=2 at the point (1, 1).

A: To find slope of tangent.

Q: Answer b only

A: Topic:- vector algebra

Q: Find all solutions of the equation in the interval [0, 2π). 2 cos 0+√3=0 Write your answer in…

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Q: N 8) 10) 12) 14) 16) 17) a) Find the Real part, Imaginary part and Conjugate Numbers Real part…

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Q: Evaluate the definite integral dt /3+2t4 dt using the Fundamental Theorem of Calculus. You will need…

A: To evaluate the following definite integral by using the Fundamental Theorem of Calculus.∫35ddt3+2t4…

Q: 5) Find the power 10 of f(x) 3+x and find domain of f(x) =- series representation > C=2

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Q: Which of the following inequalities is equivalent to the inequality -3x 2 Ox>-2 x 3

A: We can find the equivalent inequality in the below steps.

Q: express the set of numbers x satisfying the given condition as an interval. |3x + 5| < 6

A: Given: 3x+5<6

Q: 4. The population, in millions, of the city Erehwon can be modeled by P(t) = 15e0.03, where t is the…

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Q: roduct are related by 2x² - 4xp+50p² = 14600.

A: Given : for p = 10 as x cannot be negative : x = 80

Q: 4- [ ² ] - [ A= 2 5- 7 B = 3 5 لام 3 2 -2 Find A.B= ?

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Q: p z I = [10] ठ २ a 4.x dA

A: The given integral: ∫04∫0y2x24-xdA

Q: Find the derivative of the given expression.  = 13x−ln(x3) y'

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Q: მ2 მყ

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Q: Givin f(x, y, z) = ln(11ry +242z) then the partial derivatives f 242 (zy+222) - 484 (zy+222)2 44…

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Q: 1) an 1 √n²+1-n

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Q: 5 Let f(x, y) = x² + y² − 3xy. Which of the following statements is true? (0,0) is a local maximum…

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Q: 6) Evaluate the definite integral with degreez? Ś slux dx ; x 24tl Hint! Senx = { (-₁)" x² n=0…

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Q: Assume that a is an angle in standard position whose terminal side contains the point (8,-8). Find…

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Q: The one-to-one function g is defined below. g(x) = 7x 3x-5 Find g¯¹(x), where g`¯¹ is the inverse of…

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Q: Match (a)–(f) with (i)–(vi).(a) a > 3 (b) |a − 5| < 13(c)a − 13< 5 (d) |a| > 5(e) |a −…

A: We have to match the given.

Q: Givin f(x, y) = ez¹+8zy then the partial derivatives (31²)ez¹+8ry² ○ (3x² +8y7)e²²+8zy² □ (3x³…

A: Given fx, y=ex3+8xy7, then to determine the partial derivative ∂f∂x.

Q: & solve the Inequality X-X+2 <1 2 X 6x +90

A: See this solution in below.

Q: Let u=i+j, v=j and w=k. Find c₁, c₂ and c3 such that 5i +5j + 4k =q₁u+c₂v+C₂W.

A: Given: u=i+j  v=j  w=k

Q: Find the particular solution to the following differential equation using the method of variation of…

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Q: express the set of numbers x satisfying the given condition as an interval. |x + 7| &lt; 2

A: Given: |x+7|&lt;2

Q: Given no(-1)(2x + 5)", then the interval of convergence is -7<x<2 2<x<7 -7<x<7 -2<x<7

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Q: Find the absolute extrema for the given function on the interval [6.4,13.7]. Write your answer in…

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Q: f(x)= 9x          x2−4. Find the domain of​ f(x). Select the correct choice below​ and, if​…

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Q: A = Cπ/2 2 Jo (1-cos0)² de

A: