Compute the value of the improper integral. (If the integral diverges to oo, type o0; if the integral diverges to – o, type -o0; and if the integral diverges for some other reason, type DNE.) 00 dx 00 1 converges or diverges. Enter C if the Use your answer to help determine whether the series n=2 V7n series is convergent, D if the series is divergent, or ? if the Integral Test does not apply:

Q: Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric…

A: Given:    C-14 found 83.5 %

Q: alculate the integral, assuming that 6 f(x) dx = -13 and f g(x) dx = 36. %3D %3D Give your answer as…

A:

Q: 9. х%3D? +1,у%3г? + 2г. a) Find dy/dx t² +1, y = 2t. Show All Work and Give Answer In

A: Topic = Derivative

Q: What is the appropriate substitution to solve dy/dx + ln(x+1)y/x = x^3y^3? z=y^-2 z=y^2 z=y^3 y=vx

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

Q: 5) A pendulum swings though an angle of 25° each second. If the pendulum is 45 inches how far does…

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

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

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: Use Newton's method with the specified initial approximation xo to find.x2, the third approximation…

A:

Q: x -x-2 True statement for ƒ(x)= is.... х-2 1. © f(x) continuous at x = 2 2. O f(x) discontinuous at…

A:

Q: Given a series tan '(n) 1+n? n=1 a. Show that given series satisfies the conditions for integral…

A: Given a series ∑n=1∞tan-1n1+n2a To show that the given series satisfies the conditions for integral…

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

A:

Q: Given: y = (3)³ – 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State…

A:

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

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

A: Given  an = lnn+1 - lnn for n∈ℕ.

Q: CONVERGENT

A: We have to choose the correct option from the given options according to the given information

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: : cos'x dx to Which of the following is one of the correct steps to evaluate obtain the desired…

A: Here, we have given an indefinite integral in which  we have to integrate a trigonometric function.…

Q: -1x) dx

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21, -9)…

A: Given that       f(x) = 7(x-1)2/(x+9)

Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

A:

Q: Consider a triangle ABC like the one below. Suppose that B= 113°, a=57, and c=8. (The figure is not…

A:

Q: Consider the function f(x, y) = 3x² – 4y² subject to the condition x? + y? = 36. Use Lagrange…

A: Here, the given function is: f(x,y)=3x2-4y2 subject to the constrain g(x,y):x2+y2-36=0...(1)

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A:

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

A:

Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

A:

Q: 3. 6x° cos (x*) dx

A:

Q: 2.

A: Explained below

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

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: Use AMNP, as needed, to complete the given parts. Part 1: Let h be the height of AMNP. Osino OcosO…

A:

Q: Evaluate the integral. (2 - 8v3 + 16v7) dv

A:

Q: 3/2 Find the exact area of the surface obtained by rotating the curve x = ÷(y² +2)"¨,1<y<2 about the…

A: I have appended the formula used in the solution part.

Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

A:

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

A:

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

A:

Q: 1 dx (e2r – 4)5/2

A:

Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

A:

Q: What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i)…

A: Given problem:- What are all the cube roots of -1 in the complex plane?   Mutiple choice options:…

Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

A:

Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

A:

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

A: We can solve this as follows:

Q: Find the surface area of the sphere x^2 + y^2 + z^2 = 100 that lies above the cone z = sqrt(x^2 +…

A: We need to find surface area.

Q: flx)= x-x 3! %3D 5! 7! f'(x) = 1-x %3D 21 41. 6 ! 2. Drove that

A: fx=x-x33!+x55!-x77!+.......f'x=1-x22!+x44!-x66!+........

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: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

A:

Q: Determine if the improper integral In (x²) dx converges or diverges. If it converges, find its valu

A:

Q: Consider replacing F by an alternative set of functional dependencies G: AP-> IT I -> ATP Is the…

A: answer is in next step

Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

A: