3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then express the force as an integral and evaluate it. 3 ft 8 ft 2 ft

Q: 7) In Problems 7 through 11 given f(x) and g(x) are Continuous and Differentiable EVERYWHERE with th...

A: Since you have posted multiple subparts question in this question which are not interlinked so i hav...

Q: 3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1...

A: (a) From given table

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

Q: degree

A: We will find the equation. 

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

A:

Q: 2x dx (x*-16)

A:

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

A:

Q: dw 12. Let w = xey/z. Find the value of -at x = t?, y = 1-t z=1+ 2t dt

A:

Q: cos (sin-(x)] – dx 1-x2

A:

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital Rulelimx→-13x2+4x+14x-1=3(-1)2+4(-1)+14(-1)-1=3-4+1-4-1=-1...

Q: 3\k-1 Determine whether the series E=1l-) 4 converges and if so, find its sum. 7/2 4/7 714 5/7

A:

Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: dx 3. S xVx-8 4. S-5 cos r sin 2r dr

A: ∫1x2+a2 dx =12atan-1xa+C ∫un du = un+1n+1+C

Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

A:

Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: A model for tumor growth is given by the Gompertz equation = a (In b – In V) V where a and b are pos...

A: Given:  A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A:

Q: 1 Let f(x) = and calculate %3D x(In(x)) S(x) dx by using integration by substitution. What was your ...

A:

Q: f(x) (x-1)(x-4). %3D x+4

A: Topic = Functions

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A:

Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: If a Vector has a contonr and touo events. and sets an angle of 45 degreess then its Components are ...

A:

Q: In Exercises 9-26, find fx, fy, fx, fyy, fry and fyx- 9. f(x, y) = x²y + 3x + 4y – 5 10. f(x, y) = y...

A:

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: If f(z) = 2z2 + 6z + 3, find f'(-1), using the definition of derivative. f'(-1) is the limit as z of...

A: We have to find limit and tangent line

Q: c x(x²-x+2) dx is equal to 3

A:

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

A:

Q: Using the ratio of successive terms, what can you conclude on the given sequence increasing decreasi...

A:

Q: 4dt 5t+ 2

A:

Q: Describe the level surfaces of the function f (x, y, z) = y2 + z2.

A:

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A: All the solutions are given below.

Q: 9. S ze4z²dz 422

A:

Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

A: Given

Q: Express the following functions in terms of function f where y=f(x). Professor Lapan's Helpful Hint...

A: We can solve both the part as below as per the instructions of Professor Lapan's Helpful Hint:.

Q: dy (8y – 2²y) + x – xy² = 0

A:

Q: Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1...

A:

Q: 3. Evaluate all the first partial derivatives of the given functions at the given point. of of 1 a) ...

A:

Q: 2х-3 3. у %3 Зx+4

A:

Q: Write the first five terms of the sequence: (7 ln n +00 n n=1 Determine whether the sequence converg...

A: Given 7lnnnn=1+∞

Q: 1. Identify the degree, end behavior and roots (with multiplicities) of the following polynomials. (...

A:

Q: Let f(x) = x' cos ( x-) and calculate ed S(x) dx by using integration by substitution. What was your...

A:

Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: HW/Sketch 2x-1 The graph of FLx) = 3

A: This is an exponential function. 

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

A:

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Let's find.