P2: (e* sin x + x ln x) dx

Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

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Q: 6- Give ā = [A, B]and b = [F,E], find VProj(b onto ā) and SProjd onto b). Resolve d into…

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Q: EXAMPLE 1: Consider the graph of the function f given below. Using the given graph, determine if the…

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Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: Use the chain rule to find the derivative of: cos(7 + 8x)

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Q: Find r'(t), r(t,), and r'(t,) for the given value of to r(t) = (e', e²9), to = 0 r'(t) = r(t,) =…

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Q: Showing all work, use the method of your choice to find the volume of the solid obtained by rotating…

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Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

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Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: sec 1.)S Intanßtanß dß

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Q: Evaluate the following Integras: 1. ( sin(4t) – 3 sin(2t)² dt 6. Vsech(4x) tan (4x) dx sinh 3y dy 6,…

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Q: c) Find the general solution to the differential equation = 3x(y + 8).

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Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

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Q: y= md y=x+2 ... and Revolve the area about the x-axis. Using circular ring method, the volume of the…

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Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 -r)+ 7e dr

A: We have to find antiderivative of given function

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: b) Find the general solution to the differential equation

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Q: Let g(8) = (2s – 1)°. Then g'(8) is 9'(1) is 9'"(8) is and g''(1) is

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Q: Differential Equations Please answer as soon as possible, i'll upvote (a) Find a particular solution…

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Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: dy if 6 + sin 2y = dx 2y + 3x by using implicit differentiation. 2y + 3x Find Hence, find the…

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Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

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Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

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Q: y =x und y = x+2 ... evolve the area about the line x 3. Using cylindrical shell method, the volume…

A: The cylindrical shell method gives the ,Volume on revolution about a line is given by…

Q: 14. Given f'(x)= 5e* – 4 and f(0) = 2; find f(x).

A: We need to find f(x).

Q: What type of DE is the following? xydx + (x2 – 3y)dy=0 O Bernoulli in x Bernoulli in y O Linear in x…

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Q: dy 15. Vx eu+ Vx, dx x > 0

A: We have to solve the difference equations

Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

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Q: S csc-2a(seca)-da

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Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: If f(x) = 4,/¤In(x), find f'(æ). %3D Find f'(2). Submit Question

A: Given

Q: Write the first four terms of {an}. n + 1 10) an 3n - 1

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Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 – r) + 7e

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Q: Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in…

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Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

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Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given:     F(x,y) = yi - xj.          ---------(i) We have to determine the vector field of equation…

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: h(x,y)=x^3-3x+3xy2 for critical point  ∂h∂x=0∂h∂y=0 ∂h∂x=3(x^2)-3+3y^2∂h∂y=0-0+3x(2y)for critical…

Q: Solve y’’ – y’ + y = 2sin(3x)

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Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

Q: 4. S 9-x- dx

A: Given problem:-

Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: and y=x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid…

A: Given :-region bounded by y=x2  ,  y=x+2revolving about the x-axisusing washer/disk…

Q: Use the chain rule to find the derivative of 16 f(2) = 2(– 3x0 – 52)" You do not need to expand out…

A: Given: f(x)=2-3x10-5x916

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.