Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy = 81 y = x y = 0 X = 81 dy dx dy dx

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: 10. In the diagram below, the conical part's radius and height are seven centimeters and ten centime...

A: Given: Radius of the  cone =7 cm Height of  the cone =10 cm Diameter of the cylinder=  14 cm  Height...

Q: Construct a truth table to show that (p^q) → p is a tautology.

A:

Q: A privately owned lake contains two types of game fish, bass and trout. The owner provides two types...

A: We have to solve for no. Of maximum fish . 

Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

A:

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: Pls help ASAP. Pls show all work and calculations

A:

Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

Q: 1 Scos 3x sin* 3x dx 1.

A:

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: S csc4 5x cot 5æ dæ

A:

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: (x²-ax +4" dx

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A:

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

A:

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

A:

Q: Find the distance between the point and the plane. (Round your answer to three decimal places. (3, 2...

A:

Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

A:

Q: Find the solution of the following Differential Equations 8) y-2y'+2y = 2e" cos(x)

A: The given DE is: y''-2y'+2y=2excos(x) Now, the homogeneous form of the given DE is: y''-2y'+2y=0 The...

Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: Calculus Question

A:

Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1 ∫c...

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

A:

Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x ...

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not possibl...

Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: J Arctan(x)dx xArctan(x) -In(1 + x²) + c

A:

Q: S tan-1(bx) dx

A:

Q: -2 -4 and D = 4 8

A:

Q: 'R is Region on bounded by Obsegve heit the Region bound 'R in Petaur Coolinates is from 0= T to I B...

A: Here, the given limits of integrations are: x=0, x=y, y=0, y=6 Plot the region bounded by the given ...

Q: |e2 sin²(e2«) cos(e24) dx. we let u =e2* To evaluate А) True B False

A: Given:       ∫e2xsin2(e2x)cos(e2x)dx      let u=e2x→du=2e2xdx           =∫sin2ucosu2du            =1...

Q: Question 1 A puck of soap makes a perfect cylinder It is submerged in water and begins to dissolve, ...

A:

Q: SOLUTION

A: We will perform the integration by parts. 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: S cot5xdx ха

A:

Q: (y – 3)² (x + 1)? 1 36 The exact distance from the center to each focus is:

A:

Q: 2. If f(x) is continuous in a closed interval I, then f(x) has at least one absolute maximum and one...

A:

Q: Calculate sin r e at a 10 to get 15 correct significant digits. What is the 14th digit? Answer:

A: Given expression is: sinx-x We have to calculate it at x=10-6.

Q: 1. |x² In x dx; u = In x, dv = x² dx 2. 0 cos 0 de; u= 0, dv = cos 0 d0 %3D

A:

Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given a function u=f(p,q)

Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: 7) Find cot x given : f(x)=- (simplify your answer) dx 1+csc(x)

A:

Q: the following statement true? If it is true, explain why it is true. If it is false, give an example...

A: Is the following statement true? If it is true, explain why it is true. If it is false, give an exam...

Q: Let A,B be 2x5 matrices, and C a 5x2 matrix. Then(A-3B)C is * O not defined O a 5x5 matrix O a 2x2 m...

A:

Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: