Find V· (V × F) if F(x, y, z) = 7 sin xi + 5 cos(7:x – 8y)j + 6zk. V . (V × F) :

Q: Find the general solution of y' =y sec x. A. y = C (secx+ tan x) B. y= C (sec x – tan x) C. y = C…

A:

Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

A:

Q: (x² + y2 + x)dx + xydy = 0 %3D

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: we have the parallel line equation y=-5x+4 comparing with y=mx+c m=-5 is the slope point slope form…

Q: Find the area of the plane region bounded by y = x3, x = -2 and x = 2.

A:

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

A:

Q: L3x²dx = 65

A:

Q: 5. A boater wishes to cross a canal that is 3 km wide. He wants to land 2 km upstream from his…

A: We need to find direction and time.

Q: x+1 dx

A:

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: dy Find for dx 4) y= sinxtanx

A:

Q: Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer…

A: We have to find out the derivative

Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A:

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

A:

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A:

Q: Which of the following is an antiderivative of f (x) = 52x? O (In 5) 52z – 1 52z +3 In 5 52 - 2 In 5…

A: we have to find anti derivative.

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: 4.) on this item Pinal (Vx+Vx)* dx Use only The Method of substitution/u-substitution answer should…

A: We have to find the integral

Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

A:

Q: S- 3 dy 3y - sin n -1 4-9y2 3 A True B False

A: We have to find out

Q: y" + y' – 2y = 2t, y(0) = 0, y'(0) = 1

A:

Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

Q: Evaluate the line integral g. y² dx – x²dy, where Cis the positively oriented circle of radius 2…

A:

Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

A: I am attaching image so that you understand each and every step.

Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A:

Q: Find the area of the plane region bounded by y = x - 4x and y% x(2-x). Answer

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A:

Q: 3. Find the values of x of the curve y = 3x where y' = y" 15

A:

Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A:

Q: Evaluate the line integral -ydx+ xdy along the curve C :y = 12x from (12, 12) to (0,0). NOTE: Enter…

A: In this question , we can find the given line integral.

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 E 6. o+z (p*-1)- -

A:

Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: we have to find weight at t=10 hr.

Q: Suppose f(x, y, z) = x2 + y + z? and W is the solid cylinder with height 7 and base radius 3 that is…

A: Given that f(x,y,z) = x2+y2+z2 and W is the solid cylinder with height 7 and base radius 3 that is…

Q: Find the exact value of the expressions cos(a + B), sin(a + P) and tan(a + B) under the following…

A:

Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find k(t). r(t) = e""i+e-tj K(t)

A: To find out the k(t).

Q: Find the general solution of the following: 1. (4D2 – 4D + 1)y = 0 %3|

A:

Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

A:

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

A:

Q: 4. Use partial fraction decomposition to evaluate dx x' + 4x +3 2

A:

Q: у" - у'— бу %3D 2, у (0) %3D 0, y'(0) = 0

A: Given that     y" - y' -6y = 2 , y(0)=0 , y'(0) = 0

Q: 6. sin x (1 + sin x cos x) dx y csc² ( tan (y²)) dy 7. cos²(y²) sec (11w) tan (11w) V (2 – sec…

A:

Q: e the initial value problems with initial conditions y' = y – 1 @ yo = 0 b. у %3D et- 1 а. у%3 у?— 1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), Y = e' sin(t), z =…

A: Given;  x=etcost, y=etsint, z=11et.

Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

A: