etermine if the given converges or diverges. Find the value if it converge. | In(x²) dx -1

Q: Calculate the derivative of the function xe" at the point x = 0 %3D O 1 e O 2e

A:

Q: Consider a triangle where A = 30°, a = 1.8 cm, and b = 1.3 cm. A C (Note that the triangle shown is…

A: topic - Law of sines

Q: x3 + 4x2 - 2 dx Ix? (x² + 2x + 2)

A:

Q: Show that the equation has exactly one real root. x° + e* = 0 3

A:

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

A:

Q: Find the exact value of the indicated trigonometric function of 0. 4 31) tan 0 = -, 0 in quadrant II…

A:

Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin (-0) +1…

A:

Q: x2 dx (x² – 25)5/2

A:

Q: Find f^(100)(x) whenever f(x)=(x+2)^100

A: Let's find.

Q: 3. 2+ 1+ +++ ++ + 2m -2m

A: Answer : y=5sin(x/3)

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 at time t = 0, what is the…

A:

Q: Given: y (3) - 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State 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: +o0 In(tan -1 x) dx 1+x2 1

A:

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

A:

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

A: To evaluate: limx→2 x2-x-2x2+x-6 First factorize the numerator and denominator

Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

A:

Q: п(х — 2)" 3" (2n – 1)3 Consider the power series n=1 a. Show that the power series converges when x…

A: Given the power series  ∑n=1∞n (x-2)n3n (2n-1)3

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

A:

Q: Using exact differential equation, determine the solution of

A:

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). none of the choices ex e2x

A:

Q: If u + v + w = 0 and Ju = 3, |v = 5, |w| = 7 then the angle between u and v is O 21 3 O 5n 3 O None…

A:

Q: Consider the power series ), Vn² 22n (2.x – 1)" - n² +1 the rodiug ondintorzel of orio

A:

Q: dx (x2 + 1)(x2 — 2х + 1)

A:

Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

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

A:

Q: Find the value of 7x²e-3 Determine whether ) (7n’e- ) n=1 Enter C if series is convergent, D if…

A: Let's find.

Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

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

A: Here we have to integrate the given problem.

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A: First draw the diagram then find the interval and last intergate it.

Q: (-1)"n" sin" () Σ 2n n=1

A:

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x =1+3t²,…

A:

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

A: to find the differentiation of given function.

Q: . Evaluate the integral. Shade the region whose net area you have found. 3 Ax) S(-x+3x* + 1) dx =

A: Given problem:-

Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

A:

Q: Find the area ef"l fhe Shaded reghon a/2

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

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

A:

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

A:

Q: Find plane area inside the polar function r = 2 and outside the polar function r = sin -0)+1 in…

A: The area inside a polar curve ro=g(θ) and outside the polar curve ri=f(θ) is given by…

Q: V3 3 9) 9 +x2

A: The given integral,        ∫0339+x2dx

Q: { II. Consider the sequence í n+ 2)! J n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

A:

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

A:

Q: Use the method of Lagrange multipliers to find the points on the circle x2 + y2 = 52 that are…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: 2 [ (e² + 1)² dx et

A: