2 + dx

Q: Using Laplace transform, find the solution of the initial value problem. 5. y" – 4y = 6e³t – 3e-t, y...

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Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies alon...

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Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36 ...

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x? - 3, g(x) = 4x – 5 (fo g)(x) = (Simp...

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Q: dy (10) (8у — х?у)+x- ху? — 0 dx

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

Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: Find the set on which the curve 7 dt t2 + 6t + 15 y = is concave downward. Answer (in interval notat...

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Q: Find the average value of the function f(t) = (t– 10) on [0,15]. The average value of the function f...

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Q: x2 - 2x + 1 dr. (x² – 2r- 3) 2.x

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Q: Find the center of mass of the solid E bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0 and z...

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 2 + x² + y², the cylinder æ? + y² = 5, and t...

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Q: ,if x>2 Find the correct value of bb that makes

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Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(-1,-2,2), and C(3,1,-3) then find t...

A: We will find the area and the angle of the triangle.Where points A, B,C are given.Below find the sol...

Q: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)...

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Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: I. Find dy -and simplify the result whenever possik dx 1. у%3Dsec3 2х - 3sec2x 2. y = sin (x + 4 ) c...

A: Given; 2) y=sin(x+4) cos(x-4) 3) y= -3 cot5(x/3)/5 + cot3(x/3) -3cot(x/3) - x.

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

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Q: 5. This is the graph of the function f. The dashed lines represent the asymptotes. Select the x-valu...

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Q: Find the first derivative for the following function. Do not simplify. a) f(x) = (2x² + 4)(x* – 3x)

A: Given: (1)     f(x) = 2x3+4x4-3x (2)     f(x) = 1+cotx  2cosx

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: A printing press has a roller 19 inches in diameter. A point on the roller's surface moves at a spee...

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Q: a) Evaluate the Riemann sum for f(x) = 3.x² – 6x+1, taking the sample points to be right point and a...

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Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; othe...

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Q: Find the surface area of a square-based pyramid whose lateral faces are isosceles triangles with bas...

A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: Evaluate the following indefinite integral. -x-2 (a) dx dx (b) cos 0 sin Od0

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x? + y?, the cylinder x? + y? 5, and the...

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Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is coterm...

A: The objective of the question is determine the least positive coterminal angle with A.

Q: 6 Suppose that fis integrable, and that f(z)dz = 3 and f(z)dz = 8. Find the value of the following d...

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Q: The functions f and g are defined as f(x) = 5x- 2 and g(x)= -7x. f a) Find the domain of f, g, f+g, ...

A: The domain of f(x) is the set of all possible values of x for which f is defined.

Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: ns: Find the tangent plane to the surface of x2 + z² = y² + 9 at (1, –1,3). 3

A: Follow the procedure given below. 

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A: Given :f(x)=3x+1g(x)=x

Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform. 

Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values, ...

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Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = – 7x. f a) Find the domain of f, g, f+...

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Q: Use the method for solving homogeneous equations to solve the following differential equation. (x^2...

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Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

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Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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Q: Given the following values f (x) and 2 = e and W = - 1 and A Determine the value of u2. A H2 B) H2 =...

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Q: S(arcsin 2x)²dx

A: Given that a integration of (arcsin2x)2. We solve this integration by using general formula of the i...

Q: Given the equation below. Give what is being asked. |(-1+ tanx) dx = atanx + Bln|secx| + C %3D Find:...

A: Given ∫(-1+tanx)2dx=αtanx+βlnsecx+C  To find  α-β

Q: ify that the function satisfies the conclusion of the Mean Value Thereon for ivative on the given in...

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Q: 3. In (cose) tane de

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Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x...

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors P(x)=(x-...