6x + 10 if a < -2 The function f(x): 5 if æ = -2 is discontinuous at a = -2 since it violates the %3D condition of continuity. 4-3z if a > -2 4. first third second

Q: Find the radius and interval of convergence, R, of the series. E-1 n!

A: Answer is in below step.

Q: Two people who want to meet each other will show up independently at a random time between 7am and…

A:

Q: D. Write four related conditional statements (if-then form, converse, inversé, and con each of the…

A:

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).…

A: To find the equation of circle passing through three given points.

Q: the position function, in meteres, of a particle that moves along a straight line is…

A:

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve given parametrically by (x(t),…

A: Recall: sin2t+cos2t=1

Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

A:

Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

A:

Q: Find all the values of x such that the given series would converge. 10)" 10" T-1 The series is…

A:

Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

A:

Q: Which one of the following p-series is divergent?

A:

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

A:

Q: d.) lim f(x) = e.) lim f(x)= -3 -2 f.) lim f(x) = X-I*

A:

Q: 73 dx

A:

Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

A:

Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: Find the volume of the solid that results when the shaded region is 2 y = x revolved about the…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: p(x) = sin x cos x %3D Select the correct response: O tan x O cos r – sin? r 2 O sin? r - cos? a x –…

A: To find the derivative of given function.

Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

A:

Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

A:

Q: Reacting with water in an acidic solution at a particular temperature, compound A decomposes into…

A:

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

A:

Q: Provide a step-by-step solution to the following differential equation (linear quation) 2(2xy + 4y…

A: To solve the following linear differential equation.22xy+4y-3 dx-x+22 dy=0

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A: We have to find linearly independent solution of given differential equation.

Q: Ans: -+ cosx c 1. y' +y2 sin x = 0

A:

Q: 3. Find a power series representation for the function. (Give your power series representation…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: 3. Determine the differential coefficient of y + 2x - 3 when x = 7 %3D

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

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

A:

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: 1. Let the matrices be 0 41 -1 2 2 6. [o 21 C = 2 4 li 3 -5 -31 A B =|-5 2 4 %3D 3] 5 41 1] D =|-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Given that yı 1 = = 3e is a solution of the differential equation y" + 3y = 0. Then, by using…

A: Follow next step

Q: (a) Find parametric equations for the line through (5, 4, 6) that is perpendicular to the plane x -…

A:

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

A:

Q: Determine f(x) given f'(x)=x^2 -3x+1and f(0)=2

A: We have to find f(x) from given information.

Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: Find the area, A, of the region enclosed by the cardioid r = 8+8 cos 0. (А) 96 я (В) 48 я с) 52 я…

A: The area enclosed by the cardioid r=8+8cos θ is given by: A=12∫02πr2dθ=12∫02π(8+8cos θ)2dθ…

Q: p3n+1 h(r) Σ-1)" , (п +1) 4m' n=0

A:

Q: B. Express each equation of the ellipse in standard form. Determine the equation and the length of…

A: We have to draw the ellipse.

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: sin x – e-* = 0, [0,1]

A: Secant method is used to approximate root of a function through an algorithm. It uses the concept of…

Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…