Compute - (10-3x)¹. dx

Q: Find the interval of convergence of the series

A: Given : Ratio test

Q: Use cylindrical coordinates to calculate fff f(x, y, z) dV for the given function and region: f(x,…

A:

Q: Find the area of the region enclosed by the given curves. 1. y = sin x, y = x, x = π/2, x = π.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the derivative of the function. esin r In(1+2v)dv cos z

A:

Q: K Find the derivative. f(x) = 8√√9x² +3 f'(x) =

A:

Q: write as a single fraction  x 3 - y 4 + x^2 2y (those are supposed to be fractions)  Check your…

A:

Q: Find an equation for the plane that is tangent to the surface z = In (x³ + y²) at the point…

A: equation of tangent plane is  z-z0=zx(x-x0)+zy(y-y0)given  (x0,y0,z0)=(1,0,0)∂lnx∂x=1x∂xn∂x=nxn-1

Q: The angle addition formula for cosine is cos(a + B) = cos a cos ß F sin a sin ß. Use this formula to…

A:

Q: 47-50 Sketch the region enclosed by the given curves and calculate its area. 47. y = √√x, y=0, x=4 -…

A: 47). The given curves are y=x, y=0, x=4. So, the bounded region is shown below. Now taking the…

Q: Use calculus to find the open intervals on which the function ƒ (x) = x+4√I - is increasing or…

A: Given query is to find the interval where function is increasing and decreasing.

Q: The general term of a geometric sequence is t = 2(3), where is positive integer. Show all steps to…

A: Given the geometric sequence is tn=23n-2

Q: Find d dx -(4 ln(x))

A: To find the derivative of given function

Q: dy Differentiate implicitly to find Then, find the slope of the curve at the given point. dx 2x²-3y²…

A:

Q: Find the slope of the tangent line to the curve x² + xy + 2y² = 28 at the point (-2,-3).

A: slope is  dydxdxndx=nxn-1d(a.b)dx=adbdx+bdadxdconstantdx=0

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

A:

Q: Find the equation of the tangent line to the curve y = 8 sin x at the point (7,4). ( The equation of…

A:

Q: Given cosa = - tanß= -and a and are not in Quadrant II.

A:

Q: Evaluate the double integral. 11 SY√2²-y² DA, {0x110≤x≤2,0<<*} D = = {(x, y) 10 ≤ x ≤ 2,0 ≤ y ≤ x} J

A:

Q: Find the integral. Sx³dx 8

A: Given integral:- ∫x8dx

Q: derivative 2 of the Fundamental Theorem of Calculus. √²₁ (61²-1) 22 dt 6+2 dt (61²-1) 22 dit

A: Given query is to find the derivative.

Q: =function f(x) Find f'(x). x x+2

A:

Q: under the graph of f as a limit. Do not evaluate the limit. Visney sbiw squi to sqyi smise ein ist…

A:

Q: Find the value of at the point (1,9, 1) if the equation дz 12xz + y ln x - 9x² - 3 = 0 defines x as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…

Q: A partial sum of an arithmetic sequence is given. Find the sum. 5 + 11 + 17 + . . . + 575 X S = 96

A:

Q: 47. fax√x² + a² dx (a > 0)

A: We have to evaluate the definite integral.     According to our guidelines we can solve only one…

Q: Solve the system by elimination: Express your answer as an ordered triple in the form (x, y, z).…

A: We need to solve the system.

Q: 347. Write an integral to express the area under the graph of y=e¹ between t = 0 and t = lnx, and…

A: formula for area is   ∫abf(t)dtgiven   y=et  from  t=0 to t=lnxwe know that  elnx=x∫etdt=et+c

Q: x = y² and x = 9 YA 4 2. 0 -2- 4 x = y² 2 4 6 + 8 x = 9 10X

A:

Q: Write the equation in cylindrical coordinates and in spherical coordinates. 4 b) x² + y² =4 15) a)…

A:

Q: 6. The general term of a geometric sequence is t = 2(3), where is a positive integer. Show all steps…

A:

Q: 1. Consider the vector-valued function F(t) = sin(2t) t (2,1,-2), a) Find the domain of F. b) Show…

A:

Q: Find the equation for the parabola that has its focus at the (- 5 4 For the toolbar, press ALT+F10…

A: We have to find equation of parabola by focus and directrix.

Q: Calculate the derivative of the following function. y=f(g(4x)), where f and g are differentiable for…

A: Using chain rule of differentiation

Q: 4) Compute the area of the region below the sine curve and above 5π/4 using iterated integrals. the…

A:

Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, B If…

A:

Q: Use the triple integral to find the volume of a pyramid with the base of a square, of side lenght…

A:

Q: Evaluate. b Sx³dx b S/13 a a x°dx =

A:

Q: 7. Find the first five terms of the following sequence: an = 2a1 + 3 a₁ = 2

A: an=2an-1+3a1=2for second term put n=2a2=2a2-1+3=2a1+3

Q: 4 If what does the following integral equal? 2 [²d(v)dv = [ 6 > Next Question L'a d(v)dv = 15 and…

A:

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: quart of Creamy Vanilla  number of quart of Creamy Vanilla=x1number of quart of Continental Mocha =…

Q: Find 11 circular arcs. a. f(x) dx for each graph of y = f(x), where f(x) consists of line segments…

A: Part b of the question has been solved as per the requirement of the student.

Q: Find the derivative of the function. esin z In(1+2v)dv CoS z

A:

Q: Below is the graph of y = x² + 5. 301 20- 10- -3 -2 -1 0 1 The area bounded by y = 2 3 4 5 22 +5 and…

A:

Q: ind the volume of the solid generated by revolving the region bounded by the lines and curves y=ex,…

A:

Q: = The graph shows how immigration (in thousands) to a large country has varied over the past…

A: Note: As per our guidelines, we can solve maximum 3 subparts if multiple subparts are posted. please…

Q: To solve the nonlinear inequality x + 4 / x-8  ≤ 0     we first observe that the numbers______…

A:

Q: Find two positive numbers with product 400 and whose sum is a minimum. Enter your answers in…

A:

Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

A:

Q: Find the standard equation of the plane that contains the point (3, 2, 1) and the line given by (x,…

A: