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. Round your answer to one decimal place.)

Q: dQ dt (Type an expression using t as the variable.) Coo ...

A:

Q: Identify the level curve of the function g(x, y) = xy − 9x for c = 8. Write your answer in terms of…

A: given function g(x,y)=xy-9xwe need to identify the level curve for C=8

Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A: Please see the below picture for detailed solution.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: Find the decomposition of a(t) a = aTT + ANN into tangential and normal components for r(t) = (3t,…

A:

Q: Find the critical point(s) of the function f(x, y) = −4y³ — 2xy - 4x − 3y. Enter your answer as an…

A: The objective is to find the critical points .

Q: In each of Problems a. Determine 16 through 1. a suitable for for Y(1) if the method of undetermined…

A:

Q: Find the linear approximation to the function. +² f(x +4x)= Evaluate it at the given values of x and…

A:

Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f) (2)=

A:

Q: Using the graphs of the functions f and g below, determine the following. If infinite, specify ∞o or…

A: The given graph is:

Q: For the sequence an its first term is its second term is its third term is its fourth term is its…

A:

Q: For the sequence defined by: a₁ = 1 an+1 = Find: A2 = a3 = a4 4 An +1

A: Given query is to find next terms of the sequence.

Q: 5. Determine the equation of the tangent to f(x)=2x-2 where x = 3

A: The given function is  f(x)= 2x-1x-2 Find the equation of tangent line at x=3.

Q: Find the decomposition of a(t) into tangential and normal components at the point indicated. r(t) =…

A: The given data is: rt=3-t, t+4, t2, t=2 Therefore, r→t=3-ti+t+4j+t2k       ......1 Differentiate…

Q: Consider the family of curves given by 4x² + 3y² = c². (a) Use implicit differentiation to express…

A:

Q: Evaluate the double integral over the given region R. S SYx R yx sin x dA S SYx R (Simplify your…

A:

Q: Simplify the difference quotients when necessary. 9) f(x) = 7x + 1 A) 7x - 7h; 7x - 7a f(x+h)-f(x) h…

A: Given query is to perform indicated operation on the function.

Q: projectile is shot upward from the surface of Earth with an initial velocity of 21 meters per…

A: Given query is to find the time when height is maximum.

Q: Write an equation for the graph. (Simplify answer. Type an equation using x as the variable. Use…

A: Here we have to find the function.

Q: In 2013, the singer Josh Groban toured "in the round." This means that the stage was round and…

A:

Q: How to simplify (9/7) ln | 5+2logt |

A:

Q: 12. Dinosaur fossils are too old to be reliably dated using carbon-14. (See Exercise 11.) Suppose we…

A:

Q: Given: y' + y = y²(cosx - sinx) and y(0) = 2, Find C O A. 0 B. 1/4 O C. 1/2 OD. 3/4 OE. None

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √49.2 as follows: Let f(x)=√x. Find…

A:

Q: Convert the following product into pi notation.. 10 12 3 11 . 12 . 13 4 14 5 ...

A: As we know that  ∏i=1∞an=a1·a2·a3·a4······

Q: 1 Σ(5) k Ξ

A: The given series ∑k=1∞-1k8k We have to find the convergence of the series.

Q: The weights of a large number of miniature poodles are normally distributed with a mean of 8 kg and…

A: Given, The weights of a large number of miniature poodles are normally distributed with a mean of 8…

Q: +∞ n=1 (−1)" (sin())" nn

A:

Q: Let f(x) = e+ln x x2 . a. Find the average rate of change of f(x) from x = 1 to x = e. b. Write an…

A:

Q: 4. a spotlight is on ht is on and a 6 ft tall person is walking towards the wall at arate 0 A ft…

A: We need to find change in shadow height.

Q: 4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to…

A:

Q: 5. For f(x) = 1 – x² on [−2, 1], do the hypotheses and conclusion of Rolle's Theorem hold?

A:

Q: Given: y2 + t2 + (e2y + 2ty)y' = 0, and y(1) = 0, Find: C (constant) O A. 1 OB. 0 O c. 1/2 OD. 1/4…

A: Given y2+t2+e2y+2tyy'=0 and y1=0

Q: Consider the function y = 2- 8x + 6 on the interval 8x² a) Find the slope of the secant line on this…

A: The given function is; y=sqrt(8x2-8x+6), [-3/2,5/2].

Q: 6. If 7,7, and are the standard unit basic vectors in 3-space, determine the value of .(7-3k) +…

A:

Q: d ri(t)= (31,-12+2,1-4) r2(1) = (3e', cos(t), t³-3). eir parametrized curves intersect at the point…

A:

Q: Solve the differential equation. dy =2x√16-y, -4<y<4 dx :

A: The given differential equation dydx=2x16-y2, -4&lt;y&lt;4 We have to find the general solution of…

Q: 2) Evaluate Lim X + 2² (X, Y, Z) (0, 0, 0) + Z 1 or show that it exists NOT.

A:

Q: The radius and height of a right circular cylinder are measured with possible errors of 4% and 5%,…

A: Given ::drr×100=4%dhh×100=5%V=πr2h

Q: Find r(t) and the velocity vector v(t) given the acceleration vector a(t) = (8e¹, 16t, 14t + 4), the…

A:

Q: Solve the following equation, clearly stating all real roots: 3x + 5x²-13x²-x+6=0.

A: As per bartleby guidelines we only give first question answer.

Q: Compute the length of the curve ?(?)=5??+8??+(7?^2−5)k over the interval 0≤?≤2.

A:

Q: 5. Given points A(6,-2,1) B(0,5,6) and C(-3,-5,2) u bubo a) Find the vector equation of the line…

A: Given data:- The given points is, A6, -2, 1B0, 5, 6C-3, -5, 2

Q: Given that; f(2)=2, f'(2)-3 g(2)=6, g'(2)=4 Calculate the following (fg) 2= (f/g)'(2)= (g/f)'(2)=

A:

Q: (c) 2 ln x-3lny + Int

A: To condense the given function.

Q: dy dx Find Do not simplify. . (a) cos (x + √) + tanh ¹(sin² x) = ln 3+ y sech 2

A: The given equation is; Cos(x+ sqrt(y)) +tanh-1(sin2x)= ln3+y sech(1/x2)

Q: 4) Show that the surfaces 3X² + 2Y²+Z² = 9 and x² + y² + Z²-8X-6Y-8Z + 24 = 0 have a common tangent…

A: We have to prove both surfaces have common tangent at P(1,1,2).

Q: Show that the following series of functions converges to a continuous function on R. n² + x4 n² + x²…

A:

Q: A Moving to the next question prevents changes to this answer. Question 4 Given: y² + t² + (e2y +…

A:

Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

A: