2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

Q: y = log v2x + 5

A: i have provided this answer with full description in step-2.

Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = 2х +7 Find the consumer…

A:

Q: (-1)" Σ Given: sin = x²n+1 for x E R (2n + 1)! n=0 (-1)"(2n + 1) 4" (2n + 1)! Compute the exact…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: 4 xp£

A: We have to find the integral.

Q: Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A:

Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

A:

Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

A:

Q: body was foun Within close nouse where Iscovery the core tempe r the body asuremen ved that the core…

A:

Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

A:

Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

A:

Q: Consider a triangle ABC like the one below. Suppose that B= 53°, C=58°, and b=18. (The figure is not…

A:

Q: If uxv=uxw, u 0 then O None of the choices O v=w+ ku u=v+ kw O w=u+ kv

A: Let a→ & b→ be two non-zeros vectors. Then a→ & b→ are parallel if for some scaler k we have…

Q: 1 2n 1. Consider an = tan-1n a. Determine if the sequence {an}n=1 converges or diverges. b. Is the…

A:

Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

A:

Q: 678 COS (x³) dx 3

A:

Q: Necessary and sufficient condition for a function y = f(x) to have a maximum value is...…

A: Let's find.

Q: 00 3n+1 6n-1 n=0

A: topic - geometric sequence

Q: Is the function continuous on the interval (0, T COS x O no O yes O cannot be determined

A: Given problem:- Is the function ex/cosx continuous on the interval [0, π] ?

Q: Find the general solution of the given system. dx бх — у dt dy = 5x + 2y dt (x(t), y(t)) =

A:

Q: Evaluate the following integrals. x³ + 4x² – 2 dx x² (x² + 2x + 2)

A:

Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

A:

Q: The tangent line equation of x4+y=32 at point (2,-2) is...

A:

Q: Calculate the integral, assuming that f' f(x) dx = -3, f(x) dx = 3, f* f(x) dx = 10. %3D (Use…

A:

Q: e dx (1– e*)2

A:

Q: Convert the angle in radians tc 11) 7.09 12) V6

A:

Q: . Find the sum of the following convergent series. Σ 00 3n+1 a. 6n-1 n=0

A:

Q: x? dx (x² – 25)5/2

A:

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 65e-0.02t…

A: Given: r(t)=65e-0.02t Now, 1 hour=60 minute The amount of oil leaked in first t minutes is ∫0tr(t)…

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

A:

Q: To input your angle measures in degrees, use the functions sind (5), cosd (5) and tand (5), instead…

A: This is a problem of a trigonometry. Based on application of trigonometry. Please follow the below…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: x2+2x+17 If f (x) = then f continuous on the intervals... x²-1 (-0, –1); (–1,1); (1, 0) (-0, –1);…

A: Let's find.

Q: I. Evaluate the following integrals. 1 1. dx J x(9 – In² x)5/2°

A:

Q: In(tan-1x) -dx 1+x?

A: Given,           ∫1+∞lntan-1x1+x2dx

Q: (Vian tan³ x + 1) sec" x dx

A:

Q: Evaluate the integral ſ xe²" dx; * dx; u=x, dv= e²ª dx using integration by parts with the indicated…

A:

Q: Use transformations to graph the function. 34) y = sin (x – T) Ismatals adi enon ( TC 2n 3T -2+ -4-

A: Solution: Given data, y = sin(x-π)

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i и

A:

Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

A:

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2…

A: For solving This question I found direction cosine using dot product as two perpendicular plane is…

Q: A vertical plate is submerged in water and has the indicated shape (trapezoid). Express the force as…

A:

Q: Let f(x)=2x2-12x+8. Function f(x) has one minimum point at.. Diketahui f(x)=2x²-12x+8. Fungsi f(x)…

A:

Q: I. Evaluate the following integrals. 1 1. -d.x J #(9 – In² a)5/2°

A:

Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x++y*=32…

A:

Q: Qeustion 1 Let f(x) = x³. 1. Choose right endpoints in the Riemann Sum to express the area under the…

A: fx = x3∫01fxdx =limn→∞1n ∑i=1nfxi ; where xi = in                                     1∫01fxdx…

Q: dy Find dz and simplify: y = 2534x²

A: we have to find derivative of the given function.