Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

Q: Find div F and curl F if F(x, y, z) = 3y°z°i – 3x*2°j – 3xy*k. - div F= curl F=

A:

Q: (y – Jx² + y² )dx -xdy = 0, when x = v3 and y = 1

A:

Q: Mark the critical points on the following graph. | 20- 16- 12- -5 -4 -3 -2 -1 2 3 -4 --8- -12- 16

A:

Q: evaluate the region S

A: answer is in next step

Q: 2.x4 + x3 x4 xp-

A: Given query is to find the value of the integral.

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y3…

A: given circle x2+y2=4

Q: 55. At 9 A.M., ship B is 65 miles due east of another ship A. Ship B is then sailing due west at 10…

A:

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by 10000 C(r) = 120x +…

A: Given, Cost function, C(x) = 120x + 10000/x - 2000 Price Dand function, p(x) = 1000 - 2000/x2 + 200x

Q: 3) Find the derivative Of S> Sin (xy) + e' v#5

A:

Q: 10 *- 10-x (7) Solve for x. y =

A: Topic:- algebra

Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 9y and…

A:

Q: Find div F and curl F if F(x, y, z) = x²i – 7j + yzk. div F= curl F=

A:

Q: If f(x) = u(x)t(x)w(x), then f'(x)= a) u'(x)t'(x)w'(x) b) u'(x) + t'(x) + w'(x) c) u(x)t'(x)w'(x) +…

A: Solution ) f (x) = u(x) t(x) w(x) To differentiate use product rule  [ Formula d/dx ( f (x) . g(x) )…

Q: ?

A:

Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: sider the function f(x) 3x on the interval |- 2, 2]. Find the average or mean slope of the ction on…

A: Topic:-  derivatives

Q: Problem 37: Convert the following complex numbers from rectangular form to polar form: a. 4+ j3 b.…

A:

Q: ||r'(t) × r"(t)|| ||r(t)||³ Use the formula k(t) to find k(t). r(t) = 2 cos(4t)i+ 2 sin(4t)j + 9tk…

A: We have to solve k(t)

Q: im 2x² Sin 4x²

A: Given query is to find the limit of the expression.

Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

Q: Use substitution to find the Taylor series at x = 0 of the function In (1+3x*). What is the general…

A:

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 00 ,7/8 n' n = 2…

A: The given series,    ∑n=2∞1n78-1

Q: Let ü = - 4 and i 3 , and let w = ü x v. Answer the following: Find w. Give your answer as a vector…

A:

Q: Find the area with respect to y of the region bounded by xニy+2, ×=o, y=-! and ソミ2

A:

Q: Solve the system of equations using matrices (row operations). 3z- 3w = - 4 X+ y+ z+ 3w= -1 2x + y-…

A:

Q: The sum of digits of integer x is y . the sum of digits of y is z. find x if x+y+z = 60 step by…

A: Here we know that x,y,z are two-digit numbers since their sum is 60 and any two-digit number can be…

Q: Typewritten

A:

Q: Evaluate sin 5x) lim, 0 (sin 5z ) 3x O 1 O 3/5 O 5/3

A: Topic:- limit calculus

Q: On the axes below, make an appropriate scale and graph exactly one cycle of the trigonometric…

A:

Q: Find curl(2: i + 3x j + 6y k). curl(2: i + 3x j + 6y k) = ( )i + ( j + ( )k

A:

Q: y6 16 (1). Consider z as a function of the variables x, y which is defined by z = ln(x®y) + and let…

A:

Q: Solve by Gauss-Jordan elimination

A: answer is in next step

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A:

Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.

Q: Use left-to-right elimination to solve the system of equations. 3x + 4y - 5z = 8 4x + y- z = -1 x-3y…

A:

Q: Use the information provided to write the general conic form equation of each circle

A:

Q: Determine the gradient of f(r, y) = ez sin(5y) at (r, y) = (3, – 1). Round to 2 decimal places. V…

A: Given query is to find the gradient at indicated point.

Q: It can be shown that the polar curve r = a sin(0) +b cos(0), where ab + 0, is a circle. Find the…

A:

Q: Find the derivative of the function f(x) = 4v3x² – x. 12х - 2 A. V3x2-1 6х - 2 бх — 1 C. V3x2 –1 E.…

A: To find the derivative of f(x)=43x2-x

Q: Given the function g(x) 6x + 63x² + 216x, find the first derivative, g'(x). = (x),6 Notice that…

A: We use second derivative test to determine the local Maxima and minima

Q: Find the area of the region enclosed by the parametric equation x = t3 – 8t y = 6t2

A:

Q: ||r(t) x r"(t)|| Use the formula k(t) to find k(t). r(t) = 8 cos(8t)i + 8 sin(8t)j + 5tk к(€)

A:

Q: What is the area bounded by the graph of r 3-2sin0? O A = 2 (3 – 2sind)² d® O A = 4 5 (3 – 2sin8))°…

A:

Q: 1 Answer: diverges n In n n=2

A:

Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 18x + 2…

A:

Q: Let S1 be the hemisphere with Cartesian equation z = 6 – /36 – x² – y? and S2 be the upper nappe of…

A:

Q: Evaluate the integral / (2x + 9y)dx + (6x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A:

Q: Find the derivative of f(x) = (2 - 3x) (-5x + 4). O 2 О 22-30х О зох + 22 30x + O 15x + 8 None of…

A:

Q: Describe the graph of the equation. r = -4i+ (1 – rj+tk O It is a parabola in the plane x = -4, with…

A: