(a) Find the numbers at which the following function y =f (x) is discontinuous. And at which of these numbers is continuous from the right, from the left, or neither? -2

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: sin2xsecx dx

A: This question can be solved using the concept of definite integrals.

Q: Find the solution of the initial value problem y" + y = 8(t - 2), y (0) = 1, y' (0) = 2.

A:

Q: Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

A: A detailed solution is given below

Q: Find an equation of the tangent(s) to the curve with parametric equations x = 1 + √t, y = e^(t^2)…

A: Given parametric equation of curve x=1+t   y=et2we want to find equation of tangent at  ( 2, e)

Q: S x²(csc2x³)(cot2x³)dx

A: Given problem:- ∫ x2 (csc(2x3) (cot(2x3) dx

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: A lacker 20 feet lon3 is Kanin3 azainst th Wall of a house, The base Of the ladder iS PUICA allay ot…

A: According to the question diagram will be as below Given: dxdt=3 ft/sec To find: dydt

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at…

A:

Q: Find a normal vector to the level curve f(x, y) = c at P. f(x, y) = x² + y2 1 C = 2' P(1, 1)

A:

Q: Let y=A cos x + B sinx is the solution of the differential equation

A:

Q: Let u = (-3, 2), v (0,-1) and A = %D %3D %3D NOTE: Give ezact answers. (a) Find ||u|| relative to…

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A:

Q: If y = a³ + e*, find y(4) when a = 0

A: Given: y=x3+ex   As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And…

Q: se Exact Differential method (Rule II) to solve : x² – y²)dy = xy dx.

A:

Q: Give some examples of geometric problems that can be solved using the parametric equations of a line…

A:

Q: 2X

A:

Q: Españe Find an equation of the ellipse that has center (-1, 2), a minor axis of length 2, and a…

A:

Q: QUESTION 3 List the ordered pair for the following graph. a d e…

A:

Q: Just set up the integral. A spring has a natural length of 20 cm. A 40 Newton force is required to…

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. x = (t^3) − 3t, y = (t^2)…

A: Given

Q: The number c that satisfies the Mean Value Theorem for Integral of the function f(x) = x2 – 5x + 6…

A:

Q: Simplify cot(2 arctan 6). -35/37 -35/12 -1/6

A:

Q: Evaluate the iterated integral. T/2 r10 cos(0) r dr de

A:

Q: Find the area of the region enclosed by the rose r = 2 cos 30. NOTE: Enter the exact answer. A ||

A:

Q: 4x2+y = 40 then evaluate when = 3 and y 2. dx? (Answer accurate to two decimal places.)

A:

Q: Find a polar equation for the curve represented by xy = 4.

A:

Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: We can solve the given problem as follows:

Q: = [[[In(x² + y² )dxdydz

A:

Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

A:

Q: Select the answer option that corresponds with polar coordinates (1, –I). 90° WIN 135° 4 150° -7…

A: Given query is to find the point of the coordinate.

Q: Find the volume of the solid formed by revolving the region bounded by y = sin x and the x-axis from…

A:

Q: Select the answer option that corresponds with polar coordinates (4, –120\degree). WIN 150° 45° 4 -7…

A:

Q: – x² , Y2 = x² Y1 16 · x Rotate @ y – axis SHELL METHOD B V = 2. | (C.x² – E · a²)· dG • T: K A…

A:

Q: 3x – x² + 12x – 4 lim - 3x+ – x³ + 3x² + 2x – 1

A:

Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 2 WIN 135°…

A: Given query is to find the point of the coordinate.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: aluate the triple integral zdV, where E is bounded by the cylinder y? + z? = 9 and the planes a = 0,…

A:

Q: Graph 1 Graph 2 Graph 3 24y 6. 4+ 4. + -8-6-4 4 6 -8 -6 4 4 6 2. -4+ -4- -6. -8 -8- OYes OYes ONo…

A: Given that -

Q: 4. Ricardo is taking a trip from Arizona to Yosemite National Park in California. The gas mileage in…

A:

Q: A cable 20 ft long that weighs 2 Ib/ft is hanging vertically on top of a 30 ft electric pole. Find…

A:

Q: Solve the initial value problem  y" + 8y' + 25y = 0 ; y(0) = 1, y'(0) = 2

A:

Q: For each problem, find the particular solution of the differential equation that satisfies the…

A: The given differential equation is: dydx=exy2 ; y-2=2e3+3e3e   As we know that; The Power rule:…

Q: The one-to-one functions g and h are defined as follows. g= {(-7, 1), (-6, -5), (-5, 6), (8, 5)}…

A: Given problem:- The one-to-one functions g and h are defined as follows.   g={(-7, 1), (-6, -5),…

Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…

A:

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); U =

A: