PLEASE ANSWER THIS USING YOUR OWN ANSWERS. DO NOT COPY ON INTERNET. IF YOU SEE THIS QUESTION AGAIN, DO NOT ANSWER. IF YOU ANSWER THIS IN TYPEWRITTEN, COMPLETE,  CORRECT, AND IN ORIGINAL WAY, I WILL UPVOTE. THANK YOU!

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

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

Q: L(sin 2t cos 2t) Your answer

A:

Q: Integrate the following using Partial Fractions. x dx 1. S x2-3x-4 dr (x²-4)² 2. S

A:

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

A:

Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

A:

Q: Find the derivative 4cos4t sin4t O2cot4t O Other: -1/2 cot4t of the parametrically defined curve (t)…

A:

Q: Radium decomposed at a rate proportional to the quality of radium present. Suppose that it is found…

A:

Q: If v = (x² + y² + x²) −¾7, then + O O O 1 O -1 O-1/2 Other: 8²v 8²v dx² მყ2 + 8²v əz² is

A:

Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

A:

Q: 5. Givenz уг у -4x , Find дz ду дz ?x

A:

Q: lim (lnx) = . x →+∞

A:

Q: Compute the partial derivative of the function * with respect to z at the point (1,0, 7). Compute…

A:

Q: cot3x Lim x-o cotx 0

A: Let's find limit of given function.

Q: 7. Which of the following is the differential equation satisfied by the given by the particular…

A:

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: Question 2 Given a differential equation as d²y_4x² dy x² +6y=0. dx² dx By using substitution of x =…

A: The given equation is a cauch Euler equation. So we solve the given differential equation with…

Q: Question 4 If f is continuous on [a,b], then T) True F False [xf(x)dx= x₁ b a f(x) dx

A: Given query is to find the statement is true or false.

Q: The improper integral +∞ [+00 0 ex dx is

A: Our Aim is to evaluate the improper integral given below:-∫0∞e-x dx -(i)

Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

A:

Q: B/Find the oblique asymptote of the function f(x) -3x²+2

A: The function is f(x)=-3x2+2x-1

Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x² + y² + z² = 82?…

A: This question can be solved by putting x=sint, y=cost, z=t in the equation of sphere to obtain the…

Q: The measure of the side of a square is 7 units, with a possible error of 0.02 unit. Estimate the…

A: As we know the area of the square is: A=a2 Where a is the side of the square.   Given: a=7 units,…

Q: (√²+2) dt

A: We have to integrate to given function

Q: The Critical Point of y = xe*

A:

Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D3 + 2D2 – 5D – 6)y =

A: Topic:- differential equations

Q: Question 3 Iff is continuous on [a,b], then T True F False b then f(x)dx = f(x)dx T a

A: Here it is given that f is continuous on [a,b] From the integration we can take the constant value…

Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

A:

Q: So x² dx √4-x²

A: To find out the integration.

Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the washer method to determine the volume of solid obtained by…

A: Let's find volume of solid by using washer method when given two curves rotated about x axis.

Q: X zx + z p Lim

A:

Q: 10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find…

A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

Q: 4. When solving an auxiliary equation of a certain differential equation the roots m = 1 ± 2j are…

A:

Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

Q: So .x² dx (2x²+2x+1)²

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A:

Q: ind the general solution of xdy + (3xy + y - e-³x) dx 0

A:

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: dx x² - 4x + 13 X

A: Given  ∫dxx2-4x+13To find integral:

Q: Cx²e*dx

A:

Q: 1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r =…

A: We need to find area.

Q: dx 2 X - 25

A:

Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A: The given curves are; y=4x and y=x-32 So, the bounded region is as shown below. Apply the disk…

Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

A:

Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

A:

Q: Answer 2

A: Please refer to the image below

Q: Q3/Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A:

Q: Find the linear equation of the given below using any of the 3 methods. Show your solutions here. X…

A: