1. Evaluate the indefinite integral, ſx² sinh x3 dx.

Q: Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of…

A: We have to solve given Questions.

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

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Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: c. f(x) = (-1 if x 0 %3D

A: We need to find possible points of discontinuity.

Q: find the LaPlace Transform, L{f (t)}, the given f (t). f(t) = t cosh 3t s2 s2- 9 s²+ 9 s2 А. (s² –…

A: Given that ft=tcosh 3tTo find :Laplace transform Solution :cosh 3t=e3t+e-3t2let ut=cosh 3tℒut=ℒcosh…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: 1. y=x3 - 6x2 y =0 Answer + 2. y =x4 - 2x y=0 12 -1+

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Q: 6. Evaluate ds using the following methods. A. Trapezoidal Rule with n = 4. Round to 4 decimal…

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Q: Find an equation of the plane that passes through the point P(3, 5, 1) and has the vector n = (1, 8,…

A: As we know that; The equation of the plane which is passing through a point Px0,y0,z0 and a normal…

Q: F. Boolean Matrices Го 1 A = 1 0 3-- [1 0 1] C=0 1 1 0 1 0 [1 1 1] D= 0 0 1 |1 0 0 Let B = [1 0 0 1]…

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Q: Find the integral of the following

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: er limit of 1 and a lower limit of 0.

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Q: 1) cos(s*)dtds

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+2t, y =…

A: The given lines are: L1:x=-1+2t,y=10+3t,z=2-tL2:x=-7-5t,y=1,z=5+4t Here, the normal vector of the…

Q: Which of the functions I-III meet each of the following descriptions? There may be more than one…

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

Q: Determine whether the lines L and L2 are parallel. L1: x= 2-3t, y = 3+ t, L2: x = 4- 12t, y= -3 +…

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Q: Determine an equation of the form Ax t t Cz + D=O By for the plane that contains the line (x,y,2)=…

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Q: (cos x+xcost)dt +(sint – t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: Given, f(x)= 5x2/3 [-1,1] Finding the critical points we have, f'(x)= 5(2/3)x(2/3)-1 f'(x)= 10/3x1/3

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

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Q: 3x cosh a dx. 6. Calculate the definite integral, Jo -

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j…

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Q: Send help, ma'am/sir please

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Q: - 4

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Q: 5) x²dx + y(x – 1)dy = 0 %3D

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: Integrate: (7x³ + 4x²) dx

A: Given:- ∫(7x3+4x2)dx

Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

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Q: If R is the region æ² + y² < 4, then Sp(æ² + y³ ) dA = S* L r² dr d0. 2

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Q: x2 sin x+2x cos x f'(x) = cos²x

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A: We have to find the equation of tangent plane

Q: A farmer plans He needs dimensions would usé the least amount of fence? o equal piece a rectangular…

A: Given:    Area = 194400

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of…

A: Given: A(3,-3,5)  B(5,-5,2)C(-1,-4,2)D(4,1,-8)

Q: nd Solve:- Qz: Classify dy - 3x +(3メナリ』 = e Jス

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Q: Determine whether the lines L1 and L2 are parallel. L: x = 2 – 31, y = 4 +1, z = 7- t L2: x = 5 –…

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Q: 4х if х> -1 f(x) 3D { 5 — х2 if b < x<-1 Зх + 7 if x < b

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Q: Eliminate the parameter on t to write the parametric function as a Cartesian equation in y = form.…

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Q: 11.)y- 2y y y= 3 when x = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Determine whether each improper integral below converges or diverges. 1. Sxe-3x dx. хе 1

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: k If P- q and pq=-, then p²+q² equals 2 A k/25 B 25+k c) k D) 25k

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Q: What is the a value of x such that sinx = .? 3 = 24.5° = 53.6° = 41.8° = 38.7°

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Q: Find the directional derivative of f(x, y, z) : 4y at P(3,1, –2) x + z in the direction from P to…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Here, the given vectors are P(-3,1,5), A(1,1,0) &amp; B(-2,3,-4)

Q: A company reimburses its sales representatives $175 per day for lodging and meals plus 22e per mile…

A: Find your answer below

Q: 21. ( (3r'- + 30) dt

A: We have to find the solution

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest -5 form.…

A: The detailed solution is mentioned in the step 2

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: f(x)=x2-8x-9Differentiatef'(x)=2x-8