Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine if the limit of a function g(x) as x approaches -2 exists. Explain the answer and the procedures vou anplied briefly

Q: Kelley and Stuart each have a sweet tooth and bought candy at the same store. Kelley spent $2.65 for…

A:

Q: х — у 3. f(x, y, z) = y? + z? а. f(3, –1, 2) b. с. d. f(2, 2, 100)

A:

Q: 7. Interpretations of Inter a) Determine the position function, s(t), of an object if the…

A: a)

Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

A:

Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: Michael has a math test tomorrow. His score is related to the amount of studying he does in…

A: topic - independent and dependent variables

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

A:

Q: 7. Find the constant a, such that the function is continuous on the entire real line. [x+3, f(x) = x…

A:

Q: O y= xe 2y = e"co{ 2x) is a solutiòn to yl-Gy!+13y=D0 is a solution to yll-2y'ty =0. 3X %3D

A: we have to verify the solution.

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A:

Q: dzy What is dx2 for the curve given by x = t2 and y = t3?

A: Our Aim is to find d2ydx2 for the curve given by x=t2 and y=t3

Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

A:

Q: A curve in the plane is defined parametrically by the equations x = t +t and y t* + 2t2. An equation…

A: The equation of the tangent line is: y-y1=mx-x1 Where m is the slope of the tangent line. And The…

Q: We have found that the partiaular solution of the height function is s(t) = -4.9t + v(0)t + 3 and…

A:

Q: sin(6x) lim ? 2+0 sin(2x) Does not exist O 3

A: Given problem:-

Q: Consider the differential equation xy" + 3xy' - 3y = 3x - 2x. (a) Verify that yi = x and y2 = x…

A:

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We need to solve differentiation problem.

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

A:

Q: Evaluate the definite integral (12a² – 6x + 6)dx 3.

A:

Q: Glven fx) dx = 9 and fx) dx = -4, evaluate the following. Exercise (a) Step 1 To evaluate the…

A:

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

A:

Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

A:

Q: Find the area of the region bounded by the curve y = 9- x2 and the x-axis. Answer:

A:

Q: Identify the given differential equation as to the dependent variable, degree of equation, whether…

A:

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: Find the limit. Show all work. Vx+5 -3 1. lim X- 4

A: We have to find the limit of given function

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

A:

Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

A:

Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[-3f(x)² – 49(x)] = -4 %3| True O False

A: Given: limx→afx=2 and  limx→agx=4.

Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

Q: Find the height of the tower using the information given in the illustration. 84.239° 120 ft The…

A: topic - trigonometric ratios tanθ=oppositeadjacent

Q: Find the general solution separable equathon. t) 2casx cosy dx-3 sinx sinydy = 0 o the given…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

A:

Q: 1. Differentiate and simplify. a. .2 y = 3x+3x ||

A:

Q: 12

A:

Q: 13 of 20 limz→-6 746 a+6 Does not exist 8.

A: Let's find.

Q: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits…

A: For (a), w'(t)=36t2+252t+6242' =72t+252 For (b), For t=1, w'(1)=72+252=324

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

A:

Q: ng Part I of the Fundamental Theorem of Calculus, evaluate: da t'dt =

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

Q: If 1234 cm? of material is available to make a box with a square base and an open top, find the…

A:

Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) : .2 x + y (x, y) # (1, – 1) x + y…

A:

Q: Determine a minimum radius of convergence of a power series solution about x 2 to (x2 + x)y" + 3y' –…

A: We can solve as follows

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

A:

Q: In each case determine if the Diophantine Equation has a solution. If it does find two solutions.…

A: Euclidean algorithm: Note that the greatest integer that divides both A and B is the Greatest Common…

Q: sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) =…

A: