х2 — х — 2 lim х-2 х2 + х — 6 1. О 1 2. О 4/5 3. О 3/5 4. О 2/5

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

A: Solved below

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

A:

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim (203+922 8x3-8 If…

A:

Q: 13 Suppose f(x) is decreasing over the interval 5 < x < 13, and / f(x)dæ x = 80. Then the region…

A:

Q: Q3) Evaluate triple integral SN S dz dx dy . x-y

A:

Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration

Q: 9. x =t² +1, y = 3t² + 2t . a) Find dy/dx Show All Work and Give Answer In Simplest Form.

A:

Q: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

A:

Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Find the third degree Maclaurin polynomial for f(x) = cot-1(x) and use this to approximate…

A:

Q: In(tan-1x) dx с. 1+ x² 1

A:

Q: 1 If the integral A = S -dx is changed using substitution t = tan then A = ... sin x-cos x 1 Jika t…

A: A =∫ 1dx/(sinx - cosx) substitute  t = tan(x/2) differentiate with x dt/dx =(sec2(x/2))/2 dx =…

Q: +00 (5 – 4(ln n)*)" Σ (V3. In n)3n n=2

A:

Q: (x² + 2x) cos(2x) dx

A:

Q: t e dr (1 – e")2

A:

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

Q: х2 — бх + 9 dx V6x – x2 бх —

A: NOTE: Refresh your page if you can't see any equations. .

Q: dx а. 3 x²(9x² – 4) .2 -

A: The integration of the integral is 1/[x2(9x2-4)3/2].

Q: Consider the power series 2x – 1)" V4n +1 - n=0 a. Show that the series is conditionally convergent…

A:

Q: Determine whether the following converges or diverges. 2n + 1

A:

Q: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

A: Here, the given series is: ∑n=0∞tan-1(2n-1)-tan-1(2n+3) which is a telescoping series. Let,…

Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

A:

Q: Convert dzdydx Into an integral of cylindrical coordinates 45 hardzdrde Option 1 Option 2 Option 3…

A: To convert the given integral into cylindrical coordinates.

Q: Use the 3rd Degree Maclaurin polynomial for g(x) to approximate the value of 0.2 cos(0.1). = x COS…

A: Here, the given function is: g(x)=x cosx2 Now, we know the series of cos x, the series of cos x is:…

Q: bx2 ) e x2c +d X. dx

A:

Q: 3. 6x° cos (x*) dx

A:

Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: 4. Find an equation of the tangent plane to the surface x = u? + 1, y = v + 1, z = u + v at the…

A:

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

A:

Q: х2 — 6х + 9 dx V6x – x²

A: Given,           ∫x2-6x+96x-x2dx

Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

A:

Q: sec (t) – 1 sec2 (t) Simplify to an expression involving a single trig function with no fractions.…

A:

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

A: topic - equation of a line

Q: 4). | (5 sin 2x) dx = 2

A:

Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7.x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: 0 e1/x dx х2

A:

Q: 36) y = 2 sin x - 4 10+y 8-

A: to find the differentiation of given function.

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(7 sec(t) + 9…

A:

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A:

Q: Provide the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

A:

Q: Determine whether the following series converges or diverges. If the series converges, determine the…

A:

Q: 4 ds = 1 2.

A:

Q: Suppose f(x) dæ 16 and f(x) dx = 7. | 9, 6 Then f(x) dx

A: To solve the following problem

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

A:

Q: 1 1. d.x J #(9 – In² æ)5/2°

A:

Q: Question Water is draining from the bottom of a cone-shaped funnel at the rate of 0.8 ft'/sec. The…

A:

Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t? –…

A:

Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

A: