integral. Give your answers as fractions 3 (i) dx V1- x2

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: s e8*(x³ + x²)sec² (x*e3* + 1) dx

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Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

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Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: Question 8 Use a difference identity to prove than tan(0 + 1) = tan(). PENCIL THIN BLACK V

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Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

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Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 20y – 4z = 4 3x – 15y – 3z =…

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Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin…

A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

A: Given query is to find the product of the numbers.

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 1. y sinx – xy² = c -

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 5. x = c1coswt + c2 sinwt

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Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

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Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: A hollow cylindrical metallic pipe is open at both ends and its external diameter is 12 cm. If the…

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Q: What is the approximate value of x in the figure below?* 723 58 427 3244 ft. 3169 ft. 820 ft. O 3322…

A: Find your answer below

Q: (x² + y) dx – xydy = 0 O 2y = x In cx2 O y? = x? In cx? O O

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Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

Q: Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and the…

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Q: Find the limit. lim V+3

A: Given query is to find the value of the limit.

Q: statements is NOT true?" a = 230, b = 150, C = 95° The length of the third side is 25.13 unite The…

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Q: Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval…

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Q: Q3.3

A: We have to find the value of the given definite integral according to the given information

Q: (Rounded to the nearest hundredth) Use the cylindrical shell method to calculate the volume of the…

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Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

Q: 345 cos dx 1-cos24x+sin? 4x

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Q: 2. y = loga(x³ + 2x – 2)

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Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

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Q: Note: you will need to find both the gener e homogeneous problem, and a particular so mogeneous…

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: ................................................. Determine whether the lines intersect, and if so,…

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Q: dx Example: Evaluate 3 + sin x + cos x

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: Find the centroid of the region in the first quadrant bounded by the given curves. y = x?, x = y7…

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Q: S e2x sin 2xdx

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Q: Integrating Factor by Inspection: (1) y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

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Q: 5. * 1 dx x (In x)3 A 1 + C 2 (In x)² C 1 + C 3 (In x)² 1 + C 2 (In x)2 1 + C 3 (Inx) - - O A O B O…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question is based on 3d line equation.

Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: Solve through Bernoulli's Equation: * - y = xy O y-l +x – 1 = ce¯* O y + x – 1 = ce"

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P &amp; Q is the function of x.…

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: What are the values of 8 between 0 and 2n (inclusive of 0 and 2t) that satisfy the trigonometric…

A: tan2θ-3secθ=-3⇒tan2θ-3secθ+3=0⇒2+sec2θ-3secθ=0⇒secθ=2, secθ=1⇒θ=π3+2πn, θ=5π3+2πn, θ=2πn

Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Explained below