Assuming the x-axis horizontal and the positive y-axis directed downward, find the force on a side of the area bounded by the curve y = x² and the line y = 4 fluid surface at y = 0 The dimensions are in feet, and the fluid weighs 60lb/ft

Q: timear

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

A:

Q: Valuate the following integ 1 fcos' 2xdx 1.

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple…

Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 3,…

A: Let's find.

Q: Find the area under the graph of the function over the interval given. 32) y =x2 +1; [0, 1] A) D)를…

A: Given :y=x2+1   0,1

Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: f(x+h)- f(x) 4x3+9x+5 Using lim0 Find the slope of the tangent line y = Зx-8 h at x = -1.

A:

Q: (a) Sketch a graph of a function ƒ such that: o f > 0 and f" 0, for ¤ > 3. (b) Does the graph of…

A:

Q: Along the curve r(t) =ti-j+ť k, 0sts1, evaluate each of the following integrals a. (x-y+z)dx b.…

A:

Q: Using the law of 69.3 calculate to the nearest 0.1 yr the time it will take your original investment…

A:

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: Evaluate the following integrals: |cos 2xdx |2 x – 5kdx - 1. 2.

A:

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: This question can be solved using the concept of increasing and decreasing function.

Q: nP 00 クの In=1 2+n3

A:

Q: 2t dt (1² +2)*

A:

Q: Consider the function g defined by 1 g(x, y) : = cos (Tx T) + log3 (x - y) Do as indicated. 1.…

A:

Q: Evaluate xy dx + (x+y)dy along the curve y = 4x from (- 2,16) to (- 1,4). xy dx + (x+ y)dy =

A:

Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

Q: Question #8 C15: “Find the approximate or exact value of a definite integral using rectangles and/or…

A:

Q: Find k such that the vertical line =k divides the area enclosed by y= Vx y=0 and x=5 into equal…

A:

Q: dy olve the O.D.E’S y + 4 = 2x using separable of variables. dx

A: Here is the solution:

Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? %3D

A:

Q: DETERMINE THE APEA UNDER THE PARA HETRIC CURVE GIUEN DY THE FOLLO WING PARAMETRIC EQUATIONS. x=2 (6…

A: We have to find the area under the curve.

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = xy…

A: We have to find the minimum and maximum value of the given function.

Q: dy 2 2 13x +3у - 4ху, then at the point (A) -4 %3D (B) 4 (C) -1 (D) dx 3 3 The inflection point of y…

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2 + 1, y =…

A:

Q: Let A, B, and C be square invertible matrices of the same size. Simplify the (C-'B²)-c-'(A-1B°C)-!…

A:

Q: (a) Use the Second Derivative Test to find the local extreme values of the function

A:

Q: Show that the function f defined by (x, y) = (1, – 1) f (x, y) : x2 + Y (x, y) + (1, – 1) x + y is…

A:

Q: f (x) = ex ln(5x) - ex^3 +2 + log(e2x^2), find f '(3)

A:

Q: x2 -9x+11 dx 7. r+6

A:

Q: 8^(4x-12)=4000000

A:

Q: Finel the areca of Hhe region above the x-axis bouncled by the fuunetion 9= 4x-x?. う.

A: Area of a region bounded by a curve y=f(x) is given by, A=∫abydx where a and b are points of…

Q: Find the maximum, minimum and inflection points of the fur y = 3 sin 2x at [0, 1]. %3D

A:

Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = Inx -3 -2 -1 2 3 -2 -3 The graph y =…

A: This is a problem of the function. Based on the formula and concepts we will answer the question.

Q: b)I bounded by y 2 0, z 2 0, x > 4z, and 16 > x + y. Evaluate the following triple integral: Let E…

A:

Q: Find the vollumes oF the solid that results when the r egion enclosed by the curves y= x, x = y is…

A:

Q: Both pictures are same question!

A: Given radius=8  and angle is 65° we need to find the area of the sector A The area of the sector of…

Q: x = 3 is a critical number of the function f(x) = (x+ 3)(x - 3)2. Select one: True O False

A:

Q: (3) Is f(x) = 2x a solution to the differential equation f(x)–xf'(x) = 0? Explain briefly. %3D

A: The differential equation is f(x)-x·f'(x)=0

Q: In AABC, mZA = 32°, mzC = 110° and %3D side c = 750. What is the approximate %3D length, to the…

A: To find out the length a.

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x²…

A:

Q: Which angle has a negative sine value and a negative cotangent value? 3. 7 8 9TT C. P. 3. 5

A:

Q: J sech(5x+1)tanh(5x+1)dx

A: Topic:- application of integration

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

A:

Q: If E is the solid that lies under the plane z = 3 which its base on the xy-plane is between the two…

A:

Q: EXERCISE 4 Find Vf(P) and D7f(P). (a) f(r, y, 2) = y² + z² – 4xz; U = } i – § j+ ; P(-2,1,3) %3D (b)…

A:

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

A: Let's find.

Q: EXAMPLE 3 Find the greatest and smallest values that the function f(x. y) xy takes on the ellipse…

A: Application of differentiation

Q: 19) y"- 4y'+5y= 0, y(0) = 1, y'(0) = 2.

A: