3 * 12(In x)³ dx

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: Suppose that f(x, y) = x? – zy + y² – 3z + 3y, with domain D constrained by the lines y = z, y = 0 ,…

A:

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: Write an equation for the polynomial graphed below 5 4 3 1 2 -1 -1 2 3 4 5 -5 -4 -2 - -3 -4 -5 +…

A: topic- polynomials

Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: b) Let G be a group of order 2p, where p is prime number. Prove that every proper subgroup of G is…

A: Given

Q: 8 Evaluate ( - 12vt)dt Select one: 666 a. 654 13 664 O C. 15 660 Od. 15

A:

Q: %3D Find the derivative of y = Vsinx COS I 2sin z 1. -sin z H S00 5.

A:

Q: 11. If m = 13 + 2\/42 a. Find the value of ym b. Find the value of m 1 c. Show that, m²Vm + 12987 m²…

A: A detailed solution is given below.

Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: Solve the given DE: dy e* – 2x cos y eу — хx2 sin y' dx ||

A: Differential equations is solved.

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: sin(4z) 7. lim I-0

A:

Q: 2. Detemine if the ollowing integral converges or diverges. If the integral converges, find its…

A: Given problem:- Determine if the following integral converges or diverges. If the integral…

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A:

Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

A:

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

A:

Q: For the given polynomial o find the maximum possible umbers of the positive and the negative root o…

A: Roots

Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: a) Find the triple integral xdV.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the simplified difference quotient. f(x) = 2x +6

A: answer is in next step

Q: y = x² + 1 y = 2r- 2

A: Here, from the given figure, the area bounded by the given curves are: A=∫-12∫2x-2x2+1dy dx

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: topic - Area bounded by curves

Q: du Identify u and dx for the integral /u( dx. | (8 - 5x?)*(-10x) dx u = du dx

A:

Q: 2" an 2n + 1 (-1)"-1 An 5"

A: The given sequence,1. an=2n2n+12. an=-1n-15n

Q: O Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box…

A: we have to find the limit

Q: fi(x)-2• sin(x) -3- R 3- 5- 3.* 4. 4 2 -2

A:

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: x/2 dy 2. - ५ = sin x dy +34 d x 2- X 2

A:

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

A:

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: Find each limit. Use - o or ∞ when appropriate. 4x-4 f(x) = - (x- 4)? (A) lim f(x) (B) lim f(x) (C)…

A:

Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: Q1: Define each of the following b) Normal group c) Nilpotent element d) Prime ideal e)Field.

A: Define each of the folowing:- b) normal group c) nilpotent element  d) prime ideal e) Field

Q: 1 х-х2 dx -8 2

A:

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A:

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A:

Q: Find the area bounded 1. 2x2 + 4x + y = 0 , y = 2x 2. y = x³,y = 4x²

A:

Q: A volleyball is hit when it is 4 ft above the ground and 12 ft from a 6-ft-high net. It leaves the…

A: We need to find vector form.

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

A:

Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

A: Solution: we can find a similar triangle to determine the length L of the square cross-section at…

Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

A:

Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

A:

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A: