2. f(x) = √x²-4 if x<2; √x-2 if x≥2 ; a= 2

Q: О к The area of the bounded region below is ec x2 C X²

A:

Q: -TL 4.) x² sin(xy) dydx

A: Given ∫0π∫01x2sinxydydx

Q: 4. f 30x²5x³+3 dx e

A:

Q: Find the area of the surface obtained by rotating the curve from x = = 0 to x 5 about the y-axis. =…

A:

Q: 6. - Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral that will give the volume.

Q: Given the vector function 7(1)=(31²-1, 1-8√F³, 12t-4), find the speed & arc length of the curve on…

A:

Q: An object is moving with velocity (in ft/sec) v(t) = t²-2t + 3. At t = 0, the object has a position…

A:

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

A:

Q: The table below shows values for four differentiable functions. Suppose we know the following…

A: Given

Q: If g(10) = 6, g' (10) = 1, g" (10) = -6 andg" (10) = 4.8, then g(10.4) O...5.9904 O...6.2182 4…

A:

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

Q: How can Venn diagrams help us classify shapes by their mathematical attributes

A:

Q: Determine the exact value of the following trigonometric functions given that cos (0) radians lies…

A: Given  cosθ=-96104  .............(1)θ is in radian and lies in the 3rd quadrant.

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: 1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, -2, 0], simplify or evaluate the…

A: We have to evaluate the following

Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

A:

Q: (a) L ·∞ e-x² dx

A: In this question, we want to write the given improper integral in limit form.

Q: Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x ≥ 0…

A: Explanation of the answer is as follows

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on…

A:

Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 8. (Use…

A:

Q: TL 9. The region R = {(x, y): 0 ≤ x ≤ 2, -√√1-(x − 1)² ≤ y ≤ √1 - (x − 1)²} in the transformation x…

A:

Q: 1. Find the limit, if it exists. If the limit does not exist, explain why. 8x³+2x+1+x+2 (b) lim 5x +…

A: Solution: The objective is to find the given limit

Q: ✓1 - cos e de

A:

Q: 8. find the given general differential solution, using homogeneous equations with constant…

A:

Q: When multiplied out, what are the first 4 terms of (2x+y)¹0? Show your work for full credit.

A:

Q: (a) Use the Maclaurin series, In(1 + x) = x -+-+ = E=1(−1)n+12², 2 X to derive the series expansion…

A:

Q: Consider the triple integral fff (x + y + z)dv E where E is the solid enclosed by the cylinder x² +…

A: Given

Q: 3 4 3η ΣΣ (+1) j=1 k=0

A: A detailed solution is given below.

Q: Find the area of the surface obtained by rotating the curve Y = from x = 0 to x = 1 about the…

A:

Q: Find the equation of the tangent line to right branch of the hyperbola π π ㅠ x = sect, y = tant, st≤…

A:

Q: Question 8 (a) Find the following integrals: 1 (1) √4x²+0 d 6 (ii) -dx -2x-8

A: (i). Given: I=∫14x2+9dx   ...1   As we know that; The trigonometric identity; 1). tan2x+1=sec2x 2).…

Q: (B) What function f(t) has Laplace transform: f(s)= s² + 1 s(s+s-12) 12

A:

Q: The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: st=2sint + cos2t   ,where scm , tsect∈0,2π------------------------To find:    Basic information:…

Q: 022) Find the range for the function f(x)=2+3√4-x A(-0,2] Cos r 023) lim- A) DI 2x-z C) 0 TIN Di 1

A:

Q: 7. Use contour integration to evaluate (a) dr x²+x+1² de (b) 3+2 sin

A:

Q: find the given general differential solution

A: Let, y= emx is a…

Q: Use the row method or column method (as appropriate) to find the first column of BA. 6 -1 5 A = 3 4…

A: We need to find first column of BA.

Q: (b) The Taylor series of f(x) about x = a can be expressed as f(a + x) = f(a) + Σn=1 500 x..…

A:

Q: Find the volume of the solid obtained by rotating the region B about the line y = -1. A B

A:

Q: Show tha

A:

Q: Find the general solution of the differential equation 8 CG₂ n=m x²y" + xy + (2x² - 16)y=0. Answer:…

A:

Q: Find the volume of a pyramid with height 19 and rectangular base with dimensions 4 and 11 using…

A: Let's find volume by integration.

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A:

Q: Suppose that F'(x) O... = 8+4ln(3/5) O... 16+4ln(5/3) = O = 8+2ln(3/5) O 16ln(5/3) = x X 2 Then F(7)…

A:

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

A: