Find the indefinite integral. (Remember the constant of integration.) | (3 + x + 4e*) dx

Q: Find the area bounded by the curve 2x + 4x + y – 0 and the line y + x = 0 1 1.125 1.525 1.823

A: We will find the area bounded by the curves. 

Q: 10. Find. the Valume.f. the Salid.baundeel.by. the.cylinder. X=y and. the.planes.Zz. and.x+2=.. Ans....

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Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =...

Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

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Q: Find the vector projy 2i - 2j - 4k, u = 5i - 12 k

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Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A: We can answer both the questions as below

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

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Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r...

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: 9. 10 Find the rate at which average revenue is changing when An accessories company finds that the ...

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Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: 2n + 1 Σ n tan-1 n n=1

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Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

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Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: from the observer? Remember the sides of a right triangle are related by 20 s saigt foward an obsenv...

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Q: 5. The function f (x) = 2kx³ + 3x² + px – 3 has a local minimum at x = -1 and a point of inflection ...

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Q: 5. (2y- 3x)dx + xdy = 0

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Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: Pls help ASAP. Pls show all work and calculations

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Q: ハメー X1 YxJ dx |

A: Find the integral

Q: C. 2 dx dy

A: Given 

Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .             ...

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: Valuate% I-S(t sinzo} de

A: To evaluate the given integral.I=∫0π12sin 2θ2 dθ    

Q: 11) Use implicit differentiation to find the slope of the tangent line to the curve at the specified...

A: We will find the slope of the tangent line of the given curve at the specified point.

Q: Voter Registration The amount of voters in a city's district should grow at the rate of 1500 / (8 ...

A: at present it is = 25000 after 2.5 year so t =2.5 growth = 1500/(8 + (2.5)2 )0.5  growth = 1500/(8+6...

Q: f(x, y) = x2 + 20x + y² + 16y + 10 O f(-10, 8) = 102, saddle point O f(10, 8) = 502, local maximum O...

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (3, ...

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

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

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Q: wnd the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given by...

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Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

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Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5) ...

A: To find the x values where the function is not continuous and not differentiable.

Q: Find the derivative of the following function. P(x) = 6x p'(x)=D

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Q: d²q (c) dt2 dq = t2 + 2t F(0) = 4 F'(0) = -2 %3D %3D dt

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Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

A: Given : The plane passes through the points (5, 4, 1) and (5, 1, -6) and is perpendicular to the pla...

Q: TT 2 Cos3 0, cos³ xdx хах

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Q: Evaluate the iterated integral. cos(e) 3r2 sin(e) dr de

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

Q: Find the derivative of the function at Po in the direction of u. 3x f(x, y) = tan -1 , P0(-2, 3), u ...

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Q: 4. у%3D 2х—х2, y = 2x² – 4x

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Q: Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) ...

A: f(x)=x3-21x2+72xFor critical pointDifferentiate the function f'(x)=3x2-(21×2x)+72f'(x)=3x2-42x+72Tak...

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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Q: pls solve the differential equation (2y^2 + 2y + 4x^2)dx + (2xy + x)dy = 0; when x = -1 and y = 0

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Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the ...

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Q: Y= cas Cex), Y= sinx, 0SXT

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