Find the length of the curve F(t) = (eỗ cos (‡), eỗ sin(‡), eś) for 0 ≤ t ≤ 2. Arc length =

Q: The curves r₁ = and r₂ = intersect at the origin. Find their angle of intersection, correct to the…

A:

Q: Find the absolute extrema of the function (if any exists) f(x)=x^3ー21 (0,2)

A:

Q: 1. Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to…

A: Least economy seats must be sold=1Least deluxe seats must be sold =6Maximum number of passengers…

Q: Solve the integral by u-sub 4/3-e^x dx

A:

Q: Find the limit, if it exists, or type N if it does not exist. 5zex² + y² lim (x,y,z)→(1,3,2) x² +…

A:

Q: Evaluate the integral I. I= = [ ³ (6 (sin (t)) ³ cos (t) i +6 sin (t) (cos (t))³ j + 6 sin (t) cos…

A:

Q: Find the arclength of the curve r(t) = (3t², 2√3 t, lnt), for 1≤t≤ 10. L =

A:

Q: Evaluate the following limits: x²-16 a) lim- x-4x²-x-12 b) ) lim (x-2)(x+2) x3-1.x A) A) 2 B) 8 B) 0…

A:

Q: Find a positive value of k such that the average value of f(x) = √6x over the interval [0, k] is 20.…

A:

Q: (a) Suppose that the velocity function of a particle moving along a coordinate line is v (t) = 9³…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: ssume that functions f and g are differentiable with f(-4)= -2, f'(-4)= 4, g(-4)= -5, and g'(-4)=…

A:

Q: long divison

A: x+x−32​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: If the total cost function for producing x lamps is C(x) = 960 + 37x + 0.6x² dollars, producing how…

A:

Q: Use logarithmic differentiation to find the derivative of the function. (5x +1) 5 (x4 - 8)6 Y =

A: The given function equation

Q: 1 Points] DETAILS Find the volume V obtained by rotating the region bounded by the curves about the…

A: V = π²/4Explanation:Thank you ?

Q: Hiw Find of and Duf to :- f (x₁9,2)= In (x²+2y² +32²) atp (-1,²,4) in the direction of a = -36 -…

A:

Q: Find if x(8) = 9x5 + 6yª. dy dx

A:

Q: A rectangle is bounded by the parabola defined by y=x², the x-axis, and the line x = 6 as shown in…

A: A rectangle is bounded by the parabola defined by , the x-axis, and the line as shown in the figure.…

Q: 19. Determine the intervals of concavity and the points of inflection for the following function:…

A:

Q: 3) What does the matrix (_co cos (0) – sin (0) sin (0) cos (0) represent?

A: I have provided a detailed answer in the Explanation section.Explanation:The matrix[cos(θ)…

Q: Evaluate - DI 2 x (√Vin(4-x²)).

A:

Q: Use the definition to find the Taylor series (centered at c) for the function. f(x) = ln(x ¹0), c =…

A: Given that the following function              by using the logarithm property, we can rewrite the…

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,4).

A:

Q: Find the equation of the tangent plane to the surface z = e (2, 4, 1.849). Z= - 12/17 In (2y) at the…

A: To find the equation of the tangent plane to the surface  at the point .

Q: Evaluate tr(g(t)) using the Chain Rule: r(t) = (et, et, -8), g(t) = 6t - 7 r(g(t)) = (

A:

Q: Find the indicated partial derivative. fyxy(x, y)= f(x, y) = sin(3x + 2y); fyxy

A:

Q: Compute the right-hand derivative D.f(0) = 4x+7 if x<0 {f(x) = 7x+8 if x 20 The right-hand…

A:

Q: For the sequence defined by: a₁ = 4 an+1= Find: 42 = 43 = a4 = 1 an - 4

A: The objective of the question is to find the values of a2, a3, and a4 in the given sequence. The…

Q: 2. Find the area bounded by the given regions. (Round to two decimal places) a) y =lnx and y=x²-4x+3…

A: a) Area 2.93 square unitsb) Area 36.00 square unitsExplanation:Find the Area Between the Curvesa)…

Q: 2. Ifc = [m, n, 1] is perpendicular to both a = [4, 1, -2] and b = [2, -3, -8], find m and n.

A:

Q: 12 Find the third Taylor polynomial for f(x) = X Select one: expanded about c = 1 a. P3(x) = 12-…

A:

Q: Consider the function f(x) = at x = 0.8. Compute the value of f(0.8) and P₂(0.8) Round your answer…

A:

Q: = Suppose m₁= 5, m2 = 2, m3 = 2, m4= 3 +i, and m5 = 3-i are the solutions to the auxiliary equation…

A:

Q: The point (-13,-12) is on the graph of y= f(x). a) A point on the graph of y = g(x), where g(x) = =…

A: Given that point  is on the graph

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the vector equation for the line of intersection of the planes x + y - 4z = 4 and + 4z = -2

A: We have to find the vector equation.

Q: Compute the right-hand derivative D-f(0)= lim f(h) - f(0) h→0t h 4x + 7 if x<0 {f(x) = 7x +8 if x ≥0…

A:

Q: Find the average value of the function f(x) = 22 sin(x) over the interval [0, π]. NOTE: Enter an…

A:

Q: 28 :) P = = 5² Squared directly with Z=2 and inversely J 2=4 IP P = 2² when 28 5 P when == 2 and r =…

A: p varies directly as the square of z and inversely as r. p = k .............(1)Where k is constant…

Q: The Bessel equation of order one-half, ty" - ty' + (²-2)y nonhomogeneous equation below. t²y +ty² +…

A:

Q: A projectile is fired with an initial speed of 210 m/s and angle of elevation 60°. (Use g 9.8 m/s².…

A: The projectile's initial speed is 210 m/s and the angle of elevation is 60 degrees.

Q: 1) Let's consider the rotation of point P, an atom in 2D, in the (xy) plane. The image of P, named…

A: Fully detailed solution below attached with file or image Explanation:Thank you ???

Q: Evaluater(g(t)) using the Chain Rule: r(t) = (e¹, e⁹, -6), g(t) = 2t+3 eºt, år(g(t)) =

A:

Q: z = y² sin (3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: z=y2+7t,y=8st

Q: Approximate cos COS a = h = 12 by using a linear approximation with f(x) = cos x. ≈ f(a) + f'(a).h =…

A: The given function is .

Q: The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions expansion Ax+ B Cx + D…

A: The rational expression  has partial fractions expansion .To find the value of A.

Q: Match the vector coordinates to each Cartesian vector. y M D B -4-20 с U G X -4 W 14. CD 15. JK 16.…

A: We need to find the coordinates and magnitude of the vector.

Q: Q-2 -: Sketch the graph of the following piecewise function x-3 if x ≥ 3 f(x) = -1 if -3<x<1 x+2 if…

A:

Q: 10. () Give an equation of the tangent line to the graph of the function y = 3r²-2r-11 (it is the…

A: To give an equation of the tangent line to the graph of the function  at the point .

Q: Suppose that f(x) r'(x) = 4²x+5]n(4) - s+2 + 5x Find f'(x). #

A: