ubegral Fa dx un ntegral as the areg of Q Assuming r>o,compute the tems ing the of r by interpret StAtter familiar geometnc shape

Q: (x+6)dx (x+2)*

A:

Q: xdy- ydx 4. The exact differential d what is the

A:

Q: Find the Laplace Transform of the following: 1. g(t)=t cos7t

A:

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 e" (2cos21+ sin2r) 2 A

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

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: Find the distance between the skew lines: y = 1+3t, y = 9, x = 3 + 8t, z = 4 – 9t x = 5 – t, z = 4+…

A: Given equation of line L1: 3+8t   , y=1+3t   , z=4-9t L2:   x=5-t  , y=9   , z=4+8t

Q: +2

A: To evaluate the given integral.

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A:

Q: Test the series below for convergence using the Ratio Test. n + 4 53п + 4 n=1 The limit of the ratio…

A:

Q: Evaluate the double integral using polar coordinates. R is the region in the first quadrant bounded…

A:

Q: FREE RESPONSE Fictured below is a table of values that represents the graph of an exponential…

A: a) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

Q: Consider a triangle ABC like the one below. Suppose that A= 28°, C=118°, and a=54. (The figure is…

A: To solve the given triangle

Q: Find the area of the region enclosed by the curves x=2y3 – 8y2+6y, x=y2 – y (A) 12.72 в) 13.42 17.32…

A: The graph is shown below:

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: Find the derivative of the following functions and simply it whenever possible. 4. y = log (sin24x)

A:

Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

A:

Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…

A:

Q: Integrate completely

A: Solution-

Q: tan zdr

A:

Q: Consider a triangle ABC like the one below. Suppose that a=57, b=71, and c=70. (The figure is not…

A:

Q: Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of…

A:

Q: Determine whether the following differential equation is a type of exact equation or not by using…

A:

Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q²+80q and…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: (1) speed ofducati and BMW at 9:00 =100 KMPH…

Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is;  f(x,y,z)=xyz x2+y2+z2=243.

Q: The standard form of the first order linear differential equation xdy+(2xy – 3y-4x“ )dx= 0 is_

A:

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); u =

A:

Q: 1. Find the rate of y with respect to x at the point (5, 8) if 7y-ry 4. dy da

A:

Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

A:

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

A:

Q: Given the function,y a +3x which of the choices is the correct second step based on the four-step…

A:

Q: 3z-2x² -1 (2z–1)®

A:

Q: The head of the vector v is pointed at (7,-2) denote it by A and the tail of the vector v is located…

A:

Q: Find the vector component of v = 21-j+ 3k along b = 31 + 6j + 6k and the vector component Enter the…

A:

Q: If the function f(x) below is continuous at x = 0, find the value of a 1- cos(4x) x 0 l/16+ vx) –…

A:

Q: Consider the vectors: å = ỉ– 3j + 2k , b' = 4j – 2k and ở = i + k in 3D A. Write 3a – 4 b - 2¢ in a…

A:

Q: Σ 2(3n 1) 6n + 4

A: The series is convergentsee below the calculation

Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

A:

Q: 1 hence find u Given that y =u – 5u' and x dx 2(1-15u") a. 3 u 2(15u 1) Ob. 3 u (15u? -1) 2 u'…

A: The objective of the question is evaluate the derivative and choose the correct option.

Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

A:

Q: Let g(x) = | f(t) dt where f(t) is the graph shown below. a) |Determine g(8) and g(-4). b) the…

A:

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. NAA 4- 3 37 2 4…

A:

Q: . Determination of integrating factors: 2y(x+y+2)dx+(y² – x² –4x –1)dy = 0 %3D

A:

Q: Which of the following is an infinite limit? lim f(x) = o lim x→f(x)x=a g(x) = c0 lim f(x) = a %3D…

A: we have to check which of the following is an infinite limit. we say that a limit of a function…

Q: For the following graph of velocity (not distance) versus time over the interval (1.5, 5), 15 the…

A:

Q: 국7 +2) fromy= 0 to Find the exact arc length of the curve x = y = 7. Enter the exact answer. L =

A:

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

A:

Q: Find the average rate of change of function f graphed below over the interval 4sx s 8. Compare it to…

A: