Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet What is the force exerted by the fluid on one side of the triangle? 2 (A F = 124.8 8 f² (6y - y²) dy 0

Q: Find the indicated partial derivative(s). f(x, y) = x¹y² - x³y; Find fxxx and faux

A: Given :f(x,y)=x4y2-x3y

Q: Consider this function: f(x) = 2x³ +5x² - 4x - 3 This problem has four parts. Be sure to answer all…

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Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: 1. Find the limī lim In(sin x) X→π-

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Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

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Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim X→2…

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Q: 14. The vectors a and b are given below. Use these vectors to sketch each of the following. za + b…

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Q: (12) Sz sec¹z dz.

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Q: 2² - 25 lim 15 x²8x + 15

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Q: Convert the following point from cylindrical to rectangular coordinates: (x, y, z) = (5.5.-9) 5, 2

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Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: Find the Jacobian ə(x,y,z) / ə(u,v,w) of the transformations below. a. x=3u cos v, y=5u sin v, z=7w…

A: We want to find Jacobian.

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: Given a tank contains 50kg of salt and 2000ltrs of watera solution of the concetration 0.0125kg of…

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…

Q: er each integral is improper. If it is improper, give your jus

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

A: Given:-radius of right circular cone, r=3 ftaltitude of right circular cone, h=4 ftaltitude is…

Q: Given x4 (x + y) = y2 (3x - y), use implicit differentiation to find dy/dx

A: Given: x4 (x + y) = y2(3x - y)

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.

Q: Sinzo + Cos20 +1 Sinzo- Cos2© +1 - - сото

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Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an&lt;1 and compare it…

Q: Sinz0+ Cos20 + 1 Sin 20-Cos2O +1 - сото

A: On solving this we will get

Q: Given the graph of y = f(x), sketch the graph of y=√√f(x).

A: We have to make graph of f(x).

Q: In the exponential form f(x) = a. bx, the base b can be equal to 1. (A) True (B) False

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Q: show that if y=x/tan(x) then y'=cot(x)-csc(x)

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Q: Q9. The Laplace transform of the function u: [0, ∞o) → R (t−2)² + (t− 2) sin(5(t-2)), u(t): can be…

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Q: What is the value of C?

A: We have to find the value of C.

Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: Q5: Find: a) £[3-5e²t + 4 sin t - 7 cos 3t] b) C- 3.s s²+16 5 s² +

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Q: The solution interval of 2y +12≥3 or 3y 1 or y≤ -1} .B O (-∞, -1]U (1, ∞ ).CO {yly ≥1 or y<-1} DO

A: We have to find the solution interval of  2y + 1 ≥ 3 or 3y &lt; -3

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt = 3, find

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Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: Find the equation for the plane through Po(-6,3,7) perpendicular to the following line. x = −6+t,…

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Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vf|(1,2,2) = Oi+Dj+Ok (Type integers or simplified…

A: ∇f(x,y,z) = ∂∂xi+∂∂yj+∂∂zkf(x,y,z)

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: The distance between -3 and 7 on the real line is 10. ibs O صواب

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Q: 36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO…

A: We will find the given point located in which quadrant in the following step.

Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

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Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: Find the domain of R. R(t) In(1 t) √t+1, e-¹/|t| {(VEFT, 0-10m, bu(1-2)}) t = (1,0,-1) " , if t #0…

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Q: √√√√3²-1 For the integral X What is the re-write of this integral? -dx, let z= x² - 1.

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Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1² d 4.

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Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: The scientific notation of the number 0.0023 is 2.3x10-3 صواب خطأ

A: The given number is 0.0023We need to write the scientific notation of the number 0.0023

Q: ƒ(z) = (z³ + z − 4); [−1,2] x h(x) ; [0,2] x-3'

A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

Q: ӘТ ӘР V

A: