Find the velocity and acceleration vectors in terms of u, and ug- do r= a(7 - sin 0) and =7, where a is a constant dt v = Ou, + (O ug

Q: 6s – 4 s2 – 4s + 20

A: 6s-4s2-4s+20=6s-4s2-4s+4+16=6s-12+8s-22+16=6(s-2)+8s-22+16=6·(s-2)s-22+(4)2+8·1s-22+16

Q: x = -2t x - 3 1 – y Given: line l1 : 4 = % – 8 and l2 2 y = 2+ 2t - % = 6 + 2t 1. If the given lines…

A: We have to find angle between the lines L1 & L2

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: Exercise 4. Calculate the convergence set of the following is not enough, a justification is also…

A: Given

Q: x = -2t 1 - y = z – 8 and l2 2 3 Given: line l1 : 4 y = 2+ 2t z = 6+ 2t 2. Find the equation of a…

A:

Q: Find the solution of the differential equation dy x+y=x²y² dx

A:

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

A:

Q: ArcTaпx — х 1) lim x→0 х3 Тапх

A:

Q: SIn(5 + VT)dr Algebraic Substitution

A:

Q: A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec. at an angle of 86° to…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

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

A:

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

A:

Q: Question 8 Let y = tan find the differential dy of the function. O dy = e* (x² – 1) sec² \ e*"-1 dæ…

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And ddxtanx=sec2xddxex=ex…

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: xVx +1 dx

A:

Q: 2. Evaluate the given line integral, (x – y, y) · dR, where C is the line segment from (0, 1) to…

A:

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: Solve the initial value problem for r as a vector function of t. Differential equation: = - 22k 2 dt…

A: On solving this we will get:-

Q: Se6m sin m dm Integration by Parts m3+4m Algebraic Substitution (1-m*)2

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: Line 1: 3 1 — у - = Z – 8 2 - 4 Line 2: X=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A:

Q: dx J V1-4x2

A:

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

A:

Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Exercises Construction of Homogeneous Linear Equations Obtain the differential equations satisfied…

A:

Q: Si cos3x cos4x dx 2 TT 6

A:

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

A:

Q: ArcTanx — х 1) lim x→0 х3 Тапx

A: We need to apply l'hopital rule which is described below.

Q: seconds. a) Determine the maximum height and when it is reached, rounded to the nearest tenth. b)…

A:

Q: Expand and simplifyW – 35) · (5 + 2w)

A:

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

A:

Q: V. Let z be a function of r and y, and tan y2 + x2 = z*ey. Solve for dz dz and

A:

Q: dx 4xvx²-16

A:

Q: Find a formula for the nth term of the sequence. 1, - 16, 81, - 256, 625, ... Determine the…

A:

Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

A:

Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

A:

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A:

Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

A: period

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: Find the volume generated by revolvingg the area bounded by the given curve and awd lines y = x', x…

A: Volume generated by revolving the area bounded by curve  y=x3  and line x=0  and y=8 (that is 8=x3…

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

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | 8 sin (x) cos°(x) dx

A:

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

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: 5. S , dz dy dx 2 c3

A:

Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: 1. Determine if the following function is periodic. If it is periodic find the fundamental period,…

A:

Q: y=v16-x 2.

A: This question is based on application of integration.

Q: Change the following polar equations to rec 6. 12. r = 4-cose

A: