find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

Q: On Integration of Rational Fractions. Distinct linear linear factors ³+3x+1 8) (x+1)²(x-2)²

A:

Q: Consider the smooth parametric curve defined by the equations = t (t²-3) { = 3 (t²-3) ¹ where t € R.…

A:

Q: 4. Evaluate the line integral f x siny dx + y dy, where C is the arc of r(t) = ti + t²j from point…

A: Line integral

Q: Consider the power series Σ#1 ¹+∞0 n(3x+2)n n=1 n³+4 1. Show that the series is absolutely…

A:

Q: fa¹e² da dx: Applying the integration by parts technique, let Consider the integral Ա 4 X dv = ex x¹…

A:

Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

A:

Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

A:

Q: 12 Sf x² ydxdy 01 In2 2 11₂ SS 2xe dxdy 0-1 3 1 2xy SS- -dxdy 10x+1 4√x 2 S S x²y dydx 00 11-y S S…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2 Given an = n² sin for all positive n converges Determine whether the sequence {an} Determine…

A:

Q: Ronnie scored 8 baskets in his basketball game for a total of 18 points. How many two-point and…

A: Assume number of two points and number of three points and then go ahead.

Q: Find the area bounded by y = x and y = x³. 02 00 01 O 2 01 4

A:

Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

A:

Q: If what does the following integral equal? - 14 73 [6f(x) + 3g(x) - h(x)]dx = - 14 f(x) dx = 11 and…

A:

Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A:

Q: Airport B is 400 miles from airpot A at N30E. A pilot accidently flies East 200 miles per hour for…

A: To find the destination after his error.

Q: Set up an iterated triple integral equal to 3 3-x² x²+y² 3 2-√4-x²-y² using: Spherical coordinates…

A:

Q: dy+y=x²y² X-

A:

Q: Evaluate the definite integrals using the graph of ƒ (x) below. 6 (a) (b) (c) 3 f(x) dx = 5 [₂º f…

A:

Q: Solve the area bounded by the curve y = 4x-x and the lines x=-2 and y = 4. 12) Sketch of the curves:…

A: The given problem is solved below in detail.

Q: notation. Find the domain of the function -10c (3-1)(x+4)* O (-∞, -4) U (-4, 3) U (3, ∞) O (-∞, -3)…

A:

Q: with

A:

Q: ● f sec³(x) dx ● ► f sec¹(x) dx • f sec³(x) dx MTH 32

A:

Q: -10 70 60 50 40- 30- 20 10 10 10 20 30 Dmitry is a lifeguard and spots a drowning child 30 meters…

A:

Q: Find the Fourier series for the following functions: f(t) = |sin t], -1 < t < n and The function is…

A: Solution is given below:

Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

A:

Q: Which of these equations represents a line that is perpendicular to the line in the graph below?

A: Two lines are perpendicular if the product of their slopes is equal to -1

Q: 8 √₁ 2 4-x² 4 x² 2 +4.x² dx

A:

Q: This equation is an example of which one of the following? Ax + By > C A two-variable inequality…

A: Since , x and y are variables , therefore given inequality is a  Two - variable inequality. Option…

Q: The Maclaurin series of g(x) = sin(x) is Test question?

A:

Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

A:

Q: r³+3x+1 8) (x+1)²(x-2)²

A: The objective of the question is determine the partial fraction decomposition. Note -  As per our…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 Σ n = 1 Identify…

A: To use the ratio test so that we can determine the convergent and divergent of the given series.

Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

A:

Q: Which of the following equations represent(s) a line that goes through the points (2,3) and (1,1)?…

A:

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

A:

Q: Consider points P(-1, 3), Q(1, 7), and R(-4, 9). (a) Determine the unit vector in the direction of…

A: The objective is to determine unit vector in standard form and as well as component form.

Q: I. Find the solution set of the following. 1. 2e²x - 3e + 1 = 0 H

A: Given the equation 2e2x - 3ex + 1 = 0 Rewrite it as 2(ex)2 - 3(ex) + 1 = 0 Let ex = y then the…

Q: "풍 2 secx dx tan³x + 4 tanx

A:

Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

A:

Q: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

A: Let's find surface area of the cone.

Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

A:

Q: e Find the volume generated by revolving the area enclosed by the loop of the curve y² = x (x-3)²…

A: Solution is given below:

Q: Find the arc length of the following curve on the given interval by integrating with respect to x. y…

A:

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

A: Given,            fx=-x2+4x+2            gx=x+2To find : Calculate the area between the given…

Q: Find the lengths of the functions of x over the given interval. Approximate if necessary. y=e^x on…

A:

Q: Solve the following inequality: 2x + 4 8 x < 16 x < 10 x < 8

A:

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.