1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding cylindrical coordinates.

Q: 6. S 2sin´x sin(2x) dx

A:

Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

A:

Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C. -7 -$ -4 -3 -2 1 2…

A:

Q: d radius of the

A: If r = A cosθ + B sinθthen Centre is A2 , B2 and radius is A2 + B22

Q: a) 12 Q.7) To write the power series £=3 4m as the form -4m a) m - 1 we must shift m to become : d)…

A:

Q: 27. f(1) = 1 + e*i 28. f(1) = r² - e- + 5 29. f(1) = (1 + e²)2 30. f(1) = (e' – e¯)? 31. f(1) = 41²…

A:

Q: Consider the points A(2, – 1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations 3…

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

Q: (sec2 x + csc2 x)cos2 x dx

A:

Q: 1 dx, if possible. State whether the integral converges or diverges. 4

A:

Q: Jse the linear approximation to estimate AS = f(3.1) – f(3) for f(x) = T Use decimal notation. Give…

A: Here, the given function is: f(x)=31+x2⇒f'(x)=3-1(1+x2)2(2x)=-6x(1+x2)2

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: sove the focowing using Lagrange Multiptiers: Maximi ze flx, Y, 2) solaject to x2 + y + 22 =1 Ax +…

A: Method of Lagrange Multipliers : 1.) Solve the system of equations .…

Q: LEARNING TASK 1: Determine the antiderivatives of the following functions: 1. f(x) = (x+1) 100

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: y=v16-x 2.

A: This question is based on application of integration.

Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

A:

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: I. Find əx and and (whenever possible) for the following functions. az ne ду 1) w%3D 5x*у — 11ху3 +…

A: 2). The given function is: w=2ytan2x+y-3xsecx2y3   As we know that; The Power law: ddxxn=nxn-1 The…

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

A:

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: We need to nd which set is more dispersed.

Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

A:

Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

A:

Q: Convert to a rectangular coordinate. Convert to a polar coordinates. 5T 10. 11. (-4,4)

A:

Q: For the following exercises, evaluate the integral. S(wew + w²ew*)dw 5.

A:

Q: plz

A:

Q: 5 sin(0) – cos(0) dO Evaluate: со

A:

Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A:

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: Find two positive numbers whose product is 2 such that the sum of one number and the square of the…

A: Suppose, we take ?as a negative number having absolute value. Take a pair with the value much more…

Q: In Exercises 9 and 10, find all the trigonometric values of 0 with the given conditions. 15 9. cos 0…

A:

Q: (6) Use the linear approximation of the following (Answers are to be expressed in 4 decimal places.)…

A:

Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: Integrate 7 dx , 1+ Vx+1 3

A:

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A:

Q: ArcTaпx — х 1) lim x→0 х3 Тапх

A:

Q: 4 2 6e"*+2dydx =? (a) 2 (e* – e?) (b) 2 (e10 – e°) (c) 2 (e16 – e?) (d) 2 (e2 – e?) (e) 2 (e64 – e?)

A:

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

A:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

A:

Q: 1. If f(x) = *, then f(x + h) = %3D 2. If f(x) =, then f(x + h) = 3. If f(x) then f(x + h) = Vx+2'…

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

Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

A:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: cos (20)= 2

A:

Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A:

Q: Evaluate the integral. 1/2 | [6 cos ti-3 sin tj+ sin 3t k] dt 1/2 | (6 cos ti- 3 sin tj+ sin? 3t k]…

A:

Q: For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc…

A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

Q: The approximate value of -31.8 using linear approximation, O -1.0075 O -2.0025 O -1.9975 O (E) None…

A:

Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

A: