Determine whether the improper integral converges and, if so, evaluate it. (Give your answer to one decimal place, if needed. Enter symbol co if the integral does not converge.) 9 dx /81– x2

Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

A:

Q: Show that the given differential equation is exact and then solve the given IVP: (3y² – t² \ dy t 0,...

A: Given equation 3y2-t2y5 dydt+t2y4=0   ; y(1)=1

Q: cos’x sin x dy + (y cos³x – 1) dx = o %3D

A: We have to find the solution of given differential equation

Q: f(6 + h) – f(6) Find lim if f(x) = - 9x – 1. h→0 f(6 + h)-f(6) lim (Simplify your answer.) %3D

A:

Q: 2) To what number does E-L T Converges? (-3)" m=1 gn+T

A:

Q: Evaluate the integral. Show all your work. 3 sin? xcos' xdx

A: Given that: ∫sin2x.cos3xdx

Q: 4. Given that aj = 3, ) ak = 1 and ) bk = 5, it follows that k=1 k=1 Eak and > 2ak + bk k=2 k=1 8. |...

A: Calculus   -  summation and  series 

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the foll...

A:

Q: A. Ellipse B. Parabola C. Hyperbola

A: Given that: f(x, y)=9x2+4y2

Q: 60-63. Finding asymptotes Find all the asymptotes of the following functions. x + x 63. f(x) %3D 2r ...

A: Let's find. 

Q: Find the series' radius and interval of convergence. Find the values of x for which the series conve...

A:

Q: x +1 dx | (25 – 12) 3 2

A:

Q: 1.which of the following is the inverse of f(x)=sqrt(x^2-4) a.f^-1(x)=sqrt(x^2-4);x≠4 b.f^-1(x)=x-...

A: Topic = Functions As per guidelines , At a time only one questions can be answered out of multiple q...

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: (b) (x² + xy) = y² y = 1 when x = 2 dx dy (c) - y = e* sin(2x) y = 1 when x = 0 |

A: Given : (b)  x2+xy dydx=y2  ,         y = 1 when x = 2   which is y2=1 (c)   dydx-y= ex sin2x ,     ...

Q: For the linear function y = f(x) = 3x + 10: df at I dr a. Find -7. f'(-7) = b. Find a formula for I ...

A: For (a), dfdx=f'(x)=-3x+10' =-3 So, f'(-7)=-3. For (b), We need to find a formula for x = f-1(y). y=...

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Let's find. 

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

A: The given series is: ∑n=0∞ nxnn+10

Q: 1. Suppose that g(x) > 0 for all r, g(x) has a continuous derivative, g(-2) = 5 8 g(4) = 3 and | g(x...

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2 ...

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

Q: Evaluate the integral. Show all your work tan' x sec xdx 3

A: Imtergararion of trigonometry function 

Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

A:

Q: |(n+1)!] n!

A:

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges....

A:

Q: 1 dx (use trigonometric substitution) x/1+x6

A:

Q: find the volume of the solid obtained by roating the region bounded by the given curves about the y-...

A:

Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value ...

A:

Q: Let f : R → R be a function such that |f (x) – f(y)| 0. Write the e-d definition of continuous func...

A:

Q: The function f (x) = x sin is continuous on the interval (-1,1). O True O False

A:

Q: using

A:

Q: (y cos x + 2xe)dx + (sin x + x²eY – 1)dy = 0

A:

Q: The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to co...

A: As per Bartley guidelines we are supposed to answer only three subparts of one question.  This post ...

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x...

A:

Q: Francine currently has $45,000 in her 401k account at work, and plans to contribute $3,000 each year...

A: We need to find total amount accumulated.

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A: The given function,    f(x)=7sinπx ; 0<x<2π

Q: 3. x/1+ x6

A: here you have mentioned to solve this integral by Integration By Parts.  

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

A:

Q: 4. Given that ai = 3, > ak = 1 1 and ) bk = 5, it follows that k=1 k=1 Σ Eak and > 2ak + bk k=2 k=1 ...

A:

Q: Evaluate the indefinite integral. 4 In(5 – x) dx

A:

Q: 3) Use the method of cylindrical shells to find the volume generated by rotating the region bounded ...

A: This question is based on cylindrical shell method integration.

Q: Problem Set question: A particle moves according to the position function s (t) = et sin (6t). %3D E...

A:

Q: Use the rules of differentiation to find the derivative of the function. f(x) = V f "(x) )%3D

A:

Q: Find all solutions of the equation in interval [0,2pi). 6sin^2(x) = 6+3cos(x)

A:

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: 4x+3y≤ 56 find the maximum value of the function z=4x+2y

A: The given inequality is, 4x + 3y ≤ 56  The corresponding equality is, 4x + 3y = 56 

Q: • Why do we need the Chain Rule in implicit differentiation? Show with an example and describe how t...

A:

Q: The weekly cost of producing x jackets is given by the function C(x) = 1800 + 21x + 0.15x. Find the ...

A: For the following problem,

Q: 1) Does the series described by (-1)"; converge?

A:

Q: 14) Find the eccentricity, identify the conic, sketch the conic, labeling the vertices, foci, direct...

A: