) Sketch the region enclosed by the given curves and find its area. y = -x² +4x, y=x² – 2x

Q: lim (3x2 – 5x + 9) X-4

A: Given query is to find the limit of the expression.

Q: 21 E02= OD92 -I 2SJ84N028W058 30994 -==+==0*&645362F^4 7*70== _==_75 =%3D . The differential equatio...

A:

Q: 1. у%3D 1/3 х3 — x2-2х

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

Q: dA = - 2A dt Find the general form of the function that satisfies 2A. A(t) =|

A: In order to generalize the differential equation, it should be integrated after separating the varia...

Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

A:

Q: Which term best describes the mapping shown? a. relation b. function c. one to one function

A: Given query is to find mapping is a relation or function.

Q: dy = 2x- 7, y(2) = 0. dx

A:

Q: find the area bounded by the curve y=9-x^2 and the x-axis

A:

Q: c. -1 |sech udu = 2tane" + C %3D tan (sinh u) + C -1

A:

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval nota...

A: a rational function f(x)=p(x)q(x)   is discontinuous at point wheher q(x)=0

Q: Given that a1= -15 and d=-4, find the first six terms

A:

Q: (х+1)dy %3D (2xе* - ху - 2у)dx

A:

Q: 2. A continuous function f is defined on the interval [-2, 2]. The values of f at some of the points...

A: As per our guide line if multiple questions are posted we are supposed to answer only the first one ...

Q: 59. HOUSING STARTS Suppose that in a certain community, there will be M(r) thousand new houses built...

A: The function M(r) is given as  M(r)=1+0.02r1+0.009r2

Q: = ze'y = e+z'e= C to denote an arbitrary constant.)

A:

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 7...

A:

Q: dy Calculate Y. You need not expand your answer. dx Vx - 3 y = Vx + 3

A:

Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A:

Q: 2. Find the average value of the function y = x sin(2x) on the interval [0,7 / 2]. ll the steps in t...

A: To determine the average value of the function y=x sin2x on the interval 0, π2.  

Q: EXERCISE 2.3.1 Find D (-13). EXERCISE 2.3.2 Find D (8x). EXERCISE 2.3.3 Find D (x"). EXERCISE 2.3.4 ...

A: Topic = Derivative

Q: Question 6 Maximize z = 8x + 2y subject to: x+ y<4 2x + y s 5 x2 0, y 20 The maximum is 20 at (2.5,0...

A:

Q: (D3 – D2 + D – 1)y 4 sin x

A:

Q: Apply Joint or Combined variation in the given real-life situations below. 1. The volume of a pyrami...

A:

Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: dy r+1)? dx? d'y +3(х + 1)—— + у%3Dх dx

A:

Q: State the type of the quadratic surface: æ² + () + 2? = 1 1. Hyperboloid of two sheets 2. Hyperboloi...

A: Solution ) given x2 + (y/8)2 + z2 = 1 We can write this equation  x2/12 + y2/82 + z2/12 = 1 the gene...

Q: a. What is the domain of the function f(x)= (−4x) / √(5x−9)?  b. What is the domain of the function...

A:

Q: 1. A piece of wire 36in. is cut into two parts, one of which is bent into the shape of an equilatera...

A:

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 7i im. Σ i = 1...

A:

Q: Suppose that a company introduces a new computer game in a city using television advertisements. Sur...

A: Topic = Algebra

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fxy.

A: Given:  Let fx, y=xy+x+x cos y To Find:  To determine fxy.    

Q: 3. (х+1)dy %3D (2хе* - ху-2у)dx

A: Given :   (x+1) dy=(2xe-x-xy-2y)dx

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is b...

A:

Q: Find dx/dy if y=4/square root sec x

A: Given query is to find the derivative of the expression.

Q: he monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her d...

A: Given query is to find the linear relationship , slope and the graph.

Q: ngle. Roun 20 km 34° A 25 km

A: According to our policies we are allowed to solve one question at a time. Kindly report the other qu...

Q: Use any method to determine whether the series converge. (a) E 6k k=1 The series 1 (b) 6k + 1 k=1 Th...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find constants c1 and c2 such that: F(x) = c1 sin(3x) + c2x cos(3x) is an antiderivative of f(x) = ...

A:

Q: Use the Quotient Rule to find the derivative of the function. f(x) = f'(x) =

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the foll...

A:

Q: 64 dx. V Evaluate

A: The detailed solution is given below Thank you 

Q: 4. The graph of y = (x² – 1)*(x² + 1)5 is shown below. Find the coordinates of the local max & min. ...

A:

Q: 2.x+y=3 3x-y=2 A Give the coordinates of each corner as an ordered pair. Parentheses and comma requi...

A: We can find the coordinates of point A and B as below.

Q: dx = +C (x+1)² X+1

A:

Q: %3D 8. (D5 + 9D3)y = 0

A: "Student asked only for question number 8. So I am solving only question number 8." Ans (8). Given t...

Q: Evaluate the given expression. d (1.7(x - |x|)] dx

A:

Q: Calculate two iterations of Newton's Method for the function using the given initial guess. (Round y...

A:

Q: Find the average value of the function f(x) = x³ – 2x +1 on the interval [-1, 3].

A: