Find the volume of the solid formed by rotating the region enclosed by about the x-axis. Answer: x=0, x= 1, y = 0, y=8+z¹

Q: 4 5 5 Let A = -1 -1 0 4 6 Use determinants to decide whether the matrix is invertible. Enter the…

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

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Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: Show that the differential equation x²y³ + x(1+y²)y' = 0 is not exact, but becomes exact when…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

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Q: 6. Evaluate the following limits: 1/3 (x+8) -2 a. lim X x-0 b. lim x→-3 2 x²-9 2x² +7x+3

A: Given :limx→0x+813-2xlimx→-3x2-92x2+7x+3

Q: Question 2 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

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Q: Can someone convert the final answer to integer or decimal?

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Q: 4. Find the volume of the solid that lies above the cone o H and below the sphere p = 2.

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Q: ect one: a. 1 rad/s b. 4 rad/s. 1 C. -rad/s 12 d. 1 =rad/s ܩ 0 30 ft

A: Topic:- application of derivatives

Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: To solve the following problem.

Q: Right A EFG has its right angle at F, EG = 8, and FG = 6. What is the value of the trigonometric…

A: Given, In right ∆ EFG the right triangle is at F. EG = 8 & FG = 6 TO BE FOUND : Cot G Sin E Sec…

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: The Cartesian coordinates of a point is (4, - 4√3). This point in polar coordinates can be…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny [the Low +¹Y2 ex+y dxdy 0

A: See the details solution in below

Q: f(x csc² 2x - x cos x cos 2x)dx

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Q: (2x²9x9)dx x3 x³ - 9x

A: Here we have to do partial fraction and after that integration

Q: The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

A: Use trigonometric coordinate syste

Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 3 -6 9 A =…

A: We have to find det(A)

Q: (3x² - 10)dx x² - 4x + 4

A: The integral using substitution is answered below:

Q: Which of the following is the particular solution of the differential equation dy dx y = 0 when x =…

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Q: 4dx 3r x-√√x² S

A: Let's solve given integral.

Q: Thank You FRONTLINERS number of tickets for a fund-raising campaign that aims to help the Front…

A: Concept: To find the total number of tickets in all three weeks we have used the method of simple…

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

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Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

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Q: Use Simpson's rule of find the integral 01²6 -S Sin 2x dx using Six Slices. X

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Q: 12. A pie is re take the p

A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

Q: 4. Find the Taylor series for f(x) = ln(1 + x) centered at a = 3. Give the first 5 terms of the…

A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

Q: maximum point of y x²-x-12 X+5

A: Maximum point of y is the point on the graph where y has the larger (maximum) coordinate than any…

Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: The curves 7₁(t) = (– 2t, t³, tº) and 7₂(t) = (sin( – 2t), sin( – 4t), t – π) intersect at the…

A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

Q: ∞ 1. Σ =1 η 3η+1 η

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Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

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Q: 5. Let f be a function continuous on R and F(x) = af f(t)dt. Then F"(0) is equal to 0 0 O f(0) ○…

A: Let f be a function continuous on R and Fx=x∫0xft dt. Then to determine the expression for F''0.

Q: independent

A: We will solve the problem.

Q: an isosceles triangle! 9. Find an equation of the sphere that passes through the point (4,3,-1) and…

A: Given problems:- 9. Find an equation of the sphere that passes through the point (4,3,-1) and has…

Q: П 2 0 KIN 2 p² sinr de dr dø 0

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a more elementary method, consider…

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Q: e partial graphs of y sin z +1 and y-2sin z +1 are shown below. y 4+ gluxit At F A B yey D The…

A: Given query is to find the solution of the expression.

Q: Use the following information to answer the next question The following five statements, numbered 1…

A: Explanation of the answer is as follows

Q: x(t) Find the point at which the line y(t) z(t) = 6+t -8 5t intersects the plane. 7 + 2t

A: SOLUTION-

Q: Calculate lim X10 3x²-x-2 5x² + 4x + 1

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Q: 3 2 Given f'(x) = 2x³ + 2x² + 3x, f(x) has: a. 1 critical point b. 3 critical points c. 4 critical…

A: We have to find the critical points

Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A: Area of a parallelogram when two sides of the parallelogram are given by the vector a→ and b→ is…

Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.

Q: 4) A tank contains 100 gallons of pure water. A brine solution with 1kg/gal of salt enters at…

A: Let's find amount of salt in the tank after 45 minutes.

Q: 3. Find the intersection of the following planes: ( x - 3y - 2z =- 9 == 2x - 5y + z = 3 3x + 6y + 2z…

A: We have to find the intersection of 3 planes.

Q: The binary operation defined as a+b=3a - 2b is closed in all the given sets EXCEPT set of Natural…

A: