Find the volume of the solid obtained by revolving about the y-axis the region bounded by 2 - √r²+1 2-0 and r- and -√√8

Q: [-1 -1 Using Doolittles method for the following matrix A = 0 L-2 -2 L - matrix and U - matrix. 2 11…

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Q: Which of the following is true in solving the initial value problem=x³—4—3e³¹,y=1whenx=0 ? A --4x-e³…

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Q: Question 2 Nontando kept water bottles in a rectangular box with ice cubes in order to sell them to…

A: To find out the diameter of the water bottle in millimetres.

Q: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

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Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: ****** 0 Find the value. (Enter your answer in radians.) As x→ -1, the value of arcsin x → EN 2

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Q: x→a f(x) lim f(x) = x→a+ Olim f(x) = -8 implies that lim f(x) = - 8. x→a x→a+ lim f(x) = Ha Olim…

A: we will do as per the question.

Q: Find the differential equations for each family of curves under the following conditions: a, b)…

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Q: 1. fx² sec x³ tan x³ dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity…

A: Differential equation

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: Prove that: B(x+1; y ) + B (x,y+1)= B(x,y) let (x + 1) = X(X)

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Q: (30) -3≤x-3y≤6

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: xp x + 1^₂x

A: Here is the solution:

Q: What is the summation form of the Maclaurin series for 1/(sqrt(1-x2))? Hint: Find the first few…

A: Solution:

Q: Consider the function f(x) shown in the following image: Evaluate lim f(x). x-0- A B с D -1 0 1 Does…

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Q: Considering the definition of f(x) below, find lim f(x). (If the limit does not exist, enter Ø.)…

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Q: 1. The point P(2, −1) lies on the curve y = 1/(1 − x). (a) If Q is the point (x, 1/(1 − x)), use…

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Q: Prove that: В(х+у) тв (хун) = в сху) let П (х+1) =Х ГСХІ

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Q: e number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of…

A: Please refer to the image below

Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

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Q: B.    Find the DE of each of the following by eliminating arbitrary constants               1.…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: ) find the following limits if exist:- x²+3x-4 x-1 limx-17

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Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: For the following function models the position s(t) of an object moving along a stright line, where…

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Q: in a sequence find and explain the difference, if a1 = 1 and S10 = 63 (The sum of 10 terms equal to…

A: To find out the difference of the arithmetic sequence.

Q: Use the spreadsheet to answer the following questions. 83 1 2 Put m Hein 5 x fx 57 C GP Answer: B 47…

A: Here, not that 82 value is at the intersection of the B column row 2.

Q: Add. 7 9 2 (x+8)² x²+x-56 + 7 9 2 (x+8)² x²+x-56 (Simplify your answer.) +

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Q: When the temperature T of a refrigerated food product is between 5° F and 35° F, we can model the…

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Q: ZSM-5, a catalyst material, has a surface area of 425 m³/g. What is the surface area of this…

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Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: Q2: Find dy/dx for the following functions:- (2) y = √sinh √tan x (3) 4x² + 3xy-xy² = 0

A: Given:- 2) y=sinhtanx 3) 4x2+3xy-xy2=0 To find:- dydx of given functions

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

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Q: (28) filx)=2x-1|-2

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: (1) f dx x3-2x² (2) S dx x²√ √9-x² (3) fx² sin x dx

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Q: feature

A: Please refer to the image below

Q: Consider the function f: R²R given by f(x, y) = ³ + ² + 2xy + y2-y. Find and classify all stationary…

A: Here is the solution:

Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: √ ¹ (1+√x)3 √x - dx

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: Graph and find the domain and range for y= sin²x + 1

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Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. Center at…

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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