Determine whether the improper integral diverges or converges. 0. -4x xe dx converges O diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)

Q: Match the vector field with its graph. F(x, y) = yi 6. -6+ y 十H HH

A: We need to match vector field with its graph.

Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: Find V (F x G), if F(x, y, z) = 11xi +j+ 13yk and G(x, y, z) = xi + yj – zk. V. (F x G) =

A:

Q: If the amount of bacteria in a culture at any time increases at a rate proportional to the amount of…

A: answer is in next step

Q: emplicit differuntintion to find an Use equaton of 44 tangent line to yle graph of ve equation given…

A: The given equation,       arcsin4x+arcsin3y=π2,  28,26

Q: Find all real and complex solutions to the equation   x^3 − 3x^2 − 10x + 24 =0

A:

Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: Next, differentiate the given function y = X 8x + 37 and write as a single fraction completely…

A: Derivative of function

Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

A: Given: x=2u4-u3+u-11, y=5u3-4u2-7u+2     As we know that; The Power rule; ddxxn=nxn-1 The Quotient…

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

A:

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0, 0). %3D…

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A:

Q: Qu= O.4 log (E+0.44 435 %3D Qa - 0.249(log Ea)-O.I77 Q8= 0.227 (log E3)-0.839 Q3= rearange equations…

A:

Q: The matrix associated with the solution to a system of linear equations in x, y, and z is given.…

A: Solve the following

Q: Consider the following. f(x) = x(x² – 11x + 35) x2 g(x) %D (a) Use a graphing utility to graph the…

A:

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A:

Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = ( i Di + ( i Oj + ( )k

A:

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

A:

Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

A: Information of the function is given, we have to find the required values

Q: Find ke ende finite integral. cuse c for Ge Constant of entyration) J Sin 39 Jcos 34 de (the + are…

A: We need to solve integral.

Q: | (2x - y) dx + (x + 3y) dy. Evaluate C: arc on y = x5/2 from (0, 0) to (4, 32)

A:

Q: 3x + 6 Consider the function f(x) = For this function there are two important intervals: (– 0x, A 3x…

A: We have to find out

Q: Solve following diffrential equation x(dy/dx)+6y=9x^2

A:

Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: Find V. (V x F), if F(x, y, z) = 3e"i+ 7xe"j – 3ek. V.(V × F)

A:

Q: A 25-year old woman burns 350 Gatorade is 55t calories during the tth hour. What is her net decrease…

A: A 25‐year old woman burns 350-60t cal/hr while walking on her treadmill. Her caloric intake from…

Q: B. Find the area of the region bounded by the following:

A: answer is in next step

Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

A:

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

A: This is a problem related to vector calculus. Based on green's theorem we will solve the integral.

Q: If f(x) = V4x + 1 find f"(2). O 4/27 O 213 None of these O 2/3

A: Topic:- Derivatives

Q: Do as indicated showing the details of your work. Show your complete se space provided and write…

A: We need to solve integral.

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. π 1 sin -x cos? 1

A:

Q: Find the integral of your answer in problems 2a and 2b. Note: My answer on 2a and 2b will be found…

A: Here we have to find the area.

Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A:

Q: A certain rumor spreads through a community at the rate = 3y(1+y) , where y is the portion of the…

A:

Q: Fibe the graph of the equation. = (7 – 21) i + 10tj r = O It is a line in 2-space through the point…

A:

Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (-2, -3) in the direction 0 =…

A:

Q: Determine the vector field of F. F(x, y) = 8i – 4j

A:

Q: Evaluate: Lī 3sin13 xda 512 1001 1024 1001 1024 1001 512 1001

A: Solved below.

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: Write the augmented matrix for the system of linear equations. 6x +y+6z = 8 3x- 7y-z = 6 x- 4y - 5z…

A:

Q: Find the extrema for F(x) = x*/x+1 on the interval [-l]

A:

Q: Consider the function f(x) on the interval [1, 11]. Find the average or mean slope of the function…

A: Given,  f(x)=1x

Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

A: Given : A→=3i-5j+2kB→=7i+j-2k     To Find : Vctor Projection of A→  onto B→

Q: Refer to the graph below. Find lim f(x). 3. 2- 1+ -5 4-3 -2 -1 -1+ 3. 4 5 x -2+ -3+ Does not exist 4…

A:

Q: QUESTION 12 Eliminate the parameter to find a Cartesian equation of the curve. x-e'- 1, y - e Select…

A:

Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

A: We can solve as follows

Q: ,3 dx 3 Vx²-16

A: Given integral I=∫x3x2-163 dx

Q: Evaluate the integral (8x +12y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A: Topic:- integration

Q: 5 4 3 1 T1/2 3π/2 -1 -2 -3 + -4 -5 The graph of the function f(x) = cot x is given above for the…

A: Solution is given below: