Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about the y-axis. Answer:

Q: 25- Find the Maclaurin series generated by the following function: f(x) = sinh(x)

A: Above question is solved.

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A:

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A:

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A:

Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

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A: We can solve the given problem by using the variable separable method.

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A: Above question is solved.

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A: Given,∫ (xcsc26x-xcos6x)dx

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A:

Q: Find the argument of the Complex number: Z= 1-j √3+j

A: To find the argument of the given complex number.

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A:

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A:

Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

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: II. Solve the initial value problems given the following: dy 2 if y(-1) = 21. = -2x + 3x dx dy -2x…

A:

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A:

Q: A stone is released with zero velocity from the top of a tower, reaches the ground in 4 sec. The…

A:

Q: 4dx 3 x - √√x² S

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

Q: KIN T 2 sin² x cos⁹ x dx

A: We will solve integral using Wallis formula  The wallis formula is :

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A:

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A:

Q: The points R(0, 2, 4), S(1, 3, 2) and T(−1, 2, 6) form a triangle. a) What is the area of triangle…

A: Given

Q: product

A: We will solve the problem.

Q: For items 13, 14, and 15, consider the region R bounded by y = Arctan , r = 1, and the z-axis.…

A:

Q: Determine

A:

Q: 3 50 times داد + 33 u س اع

A:

Q: 16. Simplify. 5+ (467)⁰

A:

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

A: We have to show f has removable discontinuity at x=3 and find the value of c

Q: (2x²9x9)dx x3 x³ - 9x

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

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: Find the Volume: Rotate the region bounded by y = 7 - x², x=-2 and x = 2 and the x-axis about the…

A:

Q: (3x² - 10)dx x² - 4x + 4

A: The integral using substitution is answered below:

Q: The given rectangle has a perimeter of 120 cm. Find the values of x and y that result in a maximum…

A: Consider the rectangle

Q: the arclength of the curve y = on 3

A: We will solve the problem.

Q: Let 7(t) = Find 7' (t) T' (t) =<

A: Given, r(t)=&lt;5t4-5,-e2t,-3sin(3t)&gt;

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

A:

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² =…

A: Let's find surface area rotated about x=0.

Q: Basic PDES Which of the following statements is guaranteed to be true? - [cos(y) + y²x] = y2²…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: -10 h(x) -8 -6 f(x) x² -4 -9 k(x) x-3 2 10 1 8 00 2 -4 -6- -8- a(r)] 2 y = 2x+ ∞ X

A:

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

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Q: 2dx x √x² 3√x² 2

A:

Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

A:

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

A:

Q: . Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

A:

Q: Which of the following definite integrals gives the length of the arc y - 1 + 16x-dy 0 16y – 15 이 0…

A:

Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

A:

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: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: 2 Evaluate f S t(1+²in t) dt 1+ Int+C O + C O 2 (1+In t) + C O2 ln | 1 + lnt | +C 2 (1+In t)

A: Evaluate the integral