f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: As we know that; The expression for the area of the surface revolution of y=fx about the x-axis on…

Q: Find the area of the region bounded by y² = 8x and y = 2x. A. 1.22 sq. units B. 1.33 sq. units C.…

A: We have given two curve in above problem. We have to find area between them

Q: Here are some patterns made from sticks. 8 8 Pattern 1 Pattern 2 a) Complete this table. Pattern…

A:

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

A:

Q: Solve the given initial-value problem. The DE is homogeneous. 3 xy² dy = y³ y -x - x³, y(1) = 3

A:

Q: 9. The following data of the velocity of a body is given as a function of time. Time(seconds) 10…

A:

Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: 10 نقاط * Find the Laplace Transform Q3\ to the following function L sin2t cos3t

A:

Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

A:

Q: Question 12 a) 3] Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

A:

Q: Find T(t), N(t), aT, and aN at the given time t for the curve r(t). (Give your answers correct to 3…

A:

Q: 2 -ƒ_(x−1) -dx √x

A:

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to k O a is any vector perpendicular to ix…

A:

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A: we know that if a plane is  perpendicular to a vector then the  normal of the plane is parallel to…

Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

Q: On the moon, all free-fall distance functions are of the form s(t) = 0.81t², where t is in seconds…

A:

Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Given: Lsin2tcos3t

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

A:

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

A:

Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

A:

Q: Of all rectangles with a perimeter of 28​,which one has the maximum​ area? (Give the​ dimensions.)

A: We can find the dimensions as below.

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: Solve through finite differences with four subintervals: + y = 0, y'(0) + X(0) = 2, dr² x ( + 7) + (…

A:

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A:

Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

A:

Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

A:

Q: Using Determination of Integrating Factors, solv y' = 2xy - x

A: Given differential equation y'=2xy -x

Q: What is the area bounded by the curves y² = 4x and x² = 4y? A. 5.33 C. 8.22 B. 4.33 D. 9.11

A: There are more than 1 questions, as per the Q&amp;A guidelines i am answering the 1st question. If…

Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

Q: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j…

A:

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

A:

Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: Find the area between the curve on the given interval  y= x^3 , y= x^2-1, 1 < x < 3

A:

Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

A:

Q: Problem 11.4. Find all local and global extrema of the following functions in the indicated regions…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…