Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot.) lb Trapezoid
Q: Consider the values of f and g in the given table. f'(x) g(x) g'(x) 3 4 -3 -2 -1 -2 3 2 -4 -1 0 -3 1…
A:
Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. & 1² (520 - €) 30 dt =…
A:
Q: (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 2'…
A: The given function is: fx=9 cos2x-18 sinx, 0≤x≤2π
Q: Find an equation for the tangent line to the graph of f(x) = 2 sin(sin(x)) at the point P(, f(T)).…
A:
Q: If F(x) = f(7f(5f(x))), where f(0) = 0 and f'(0) = 1. Find F'(0).
A:
Q: Set up and evaluate an integral to find the area under f(t) = answer and an approximation to four…
A: To set up and to evaluate an integral to find the area under ft=3 lntt for 1≤t≤4.
Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the…
A:
Q: 10. Pancake batter is poured into a frying pan and the batter expands in a circular pattern. If the…
A:
Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit a. an =…
A:
Q: Calculate the derivative indicated using the given function. d'I (a) f"(1), f(t) = dt3 (b) x(t) =…
A: Given; a) f(t)=t/(1+t) b) x(t)=t-3/4.
Q: dx Assume that x = x(t) and y = y(t). Let y = x³ + 3 and dt dy Find when x = 4. dt dy dt ||…
A:
Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 43…
A: Given, A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of…
Q: (I) The directional derivative Duf(a, b) is parallel to the vector u. (II) If u is perpendicular to…
A:
Q: A group of engineers are building a parabolic satellite dish whose shape will be formed by rotating…
A: We have to slove above question
Q: Find the value of f'(e²) when f(x) x Inx 1. f'(e²) 2. f'(²) 3. f'(e²) 4. f'(e²) 5. f'(e²) 6. f'(e²)…
A:
Q: Find the derivative of F when F(2) = (z −1(e))" and f is differentiable 1. F'(x) 2. F'(x) 3. F'(x) =…
A:
Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…
A: The details solution of the given question is given below in step 2. And the relevant formula used…
Q: 7. Compute the volume of the solid obtained by rotating the region enclosed by y = x, y = 2, and x =…
A:
Q: 3 Find an explicit solution to √√/1-y²dx-√√1-x²dy=0; y (0) = - 2 O 4+ 3√5 8 O 4-3√5 8 04-√5 4+√√5…
A: Given that , 1-y2dx-1-x2dy=0 ; y0=32 find y14.
Q: For the function f, how would you remove the discontinuity? In other words, how would you define…
A: We have given function fx=x2-4x-5x-5 fx=x2-5x+x-5x-5 fx=xx-5+1x-5x-5 fx=x-5x+1x-5 fx=x+1 Put x=5…
Q: Let f(x) = x³ − 4x² + 2x − 8. Find the open intervals on which f is concave up (down). Then…
A: f(x)=x3-4x2+2x-8for inflection points f''(x)=0d dx(xn)=nxn-1if f''(x)>0, than concave upif…
Q: 7. The side length, x, of a square is increasing at a rate of 2 m/s. a. At what rate is the area of…
A:
Q: C- Find: fog(x), gof(x), IF 1 f(x)= gof(x), IF f(x)=√2+2 9 g(x)=x²-6
A:
Q: Determine whether each of the equations in Problems 1 through 8 is exact. If it is exact, find the…
A:
Q: dr Find if r = dt r = √s+1 and s = 16t² - 20t. s=
A:
Q: 6. [- DETAILS Consider the following repeating decimal. 0.8 (a) Write the repeating decimal as a…
A:
Q: Determine the value of f"" (1) when f(x) = 4ln (x+3). 1. ƒ""(1) 2. f"" (1) 3. f" (1) 4. f" (1) 5. f"…
A: f(x)=4lnx+3d dx(lnx)=1xd dx(xn)=nxn-1
Q: I Given, dr b(cos@dr+rsinede); r(t) = 1, Find r(-). 1 1+b O 1+b 2 1 1+b O b 1+b (1-b)
A:
Q: An object is thrown upward at time t = 0. After t seconds, its height is y = -4.9t² + 5t+5 meters…
A:
Q: Differentiate the following function. cos(x) to y =
A: The given function y=cosxx8. We have to find its derivative.
Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…
A:
Q: Find The Slope Of The Tangent Line (16 - X)Y^2 = X^3 At The Point (8, 8)
A:
Q: Q. N, 1: Given the two points A(-2,-4)and B(4,6). Find: - 1- the equation of the straight line…
A:
Q: of discontinuity does f h of discontinuity does f h
A:
Q: Find the equation of the tangent line for f(x) is the percentage error compared to what it should…
A: Given: f(x) = x^(2/3) at x = 27 f(29) = ? Equation of tangent line = ? Percentage error = ?
Q: The curves r₁(t) = (4t, tº, -3t4) and r₂(t) = (sin(t), sin(-t), t - ) intersect at the origin. to at…
A:
Q: owing identities cou
A:
Q: 3. Find the equation of the line tangent to the graph of the function g(x) = 2cos (x)sin (x) at the…
A: Given query is to find equation of the tangent line.
Q: Find d²w dz² w=z²e² d²w dz² for the given function. n example Get more help. < Question 8, 2.2.3 14…
A:
Q: 4. Find the derivatives of the following. Simplify only by canceling common factors and combining…
A:
Q: The number of cell phone subscribers in a certain country in the years 2000-2005 was projected to…
A: Given:- Revenue: Rt=35039t+67e-0.2t million dollars
Q: If y³ = 4 + x² and dy dt -1, then find dx dt when (x, y) = (2, 2).
A: Given, y3=4+x2 and dydt=-1To find : Find dxdt when x,y=2,2
Q: 2. Reviewing the functions f(x) = e and g(x) = ln x. = x on the same set of axes. Make sure (a)…
A:
Q: 2. Determine à b, if |a| = 5 and |b| = 6. . ā 30° b
A:
Q: Find the limit. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not…
A:
Q: A heavy-duty shock absorber is compressed 4 cm from its equilibrium position by a mass of 700 kg.…
A: According to question,Given data,Mass = 700 kg,g = 9.8 ms2,A heavy duty shock absorber is compressed…
Q: An implicit equation for the plane passing through the points (–4, 0, –4), (–6, 1, –4), and (−3, 5,…
A: Please see the below picture for detailed solution.
Q: Evaluate the integral. cos y dy sin 2y + siny - 6 cos y dy S sin 2y + siny-6 (Type an exact answer.)…
A:
Q: Find f'(x) when f(x) = 2 sec²r + tan² r. 1. f'(x) 6 tan² secx 2. f'(x) 2 sec²r tan r 3. f'(x) = 6…
A:
Q: 2. Find the derivative of each of the following functions by first simplifying the logarithm a) a In…
A:
Step by step
Solved in 4 steps with 2 images
- Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of waterFind the fluid force on one side of the rectangular plate, where the dimensions are given in feet, and the tank is full of water (62.4 lbs/cu.ft.)Find the fluid force on the vertical plate submerged in water, where the dimensions are given in meters and the weight-density of water is 9800 newtons per cubic meter.
- Prove that the force on the side of a rectangular plate of area A submerged vertically in a fluid is equal to p0A, where p0 is the fluid pressure at the center point of the rectangle.Find the fluid force on a rectangular metal sheet measuring 3 feet by 4 feet that is submerged in 6 feet of water, as shown in FigureA circular porthole on a vertical side of a submarine (submerged in seawater) has a diameter of 3 feet. Find the fluid force on the porthole, assuming that the center of the circle is 1600 feet below the surface.
- A box of height 3 m3 m and a square base of side 2 m2 m is submerged in a pool of water. The top of the box is 2 m2 m below the surface of the water. Calculate the fluid force on the top and bottom of the box. The density of water is 1000 kg/m3.A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank when the tank is half full, where the diameter is 3 feet and the gasoline weighs 42 pounds per cubic foot.A plate in the form of an isosceles triangle with base 10 ft and altitude 4 ft is submerged vertically in machine oil as shown in Figure 6.8.6a. Find the fluid force F against the plate surface if the oil has weight density ρ = 30 lb/ft³ .
- In the given question as follows, the area of the top side of a piece of sheet metal is given. The sheet metal is submerged horizontally in 8 feet of water. Find the fluid force on the top side :- 25 square feetFind the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to one decimal place.)Let F be the fluid force on a side of a semicircular plate of radius r meters, submerged vertically in water so that its diameter is level with the water’s surface (Figure).