lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

Q: Find the polar coordinates, 0s0< 2n and rs0, of the following points given in Cartesian coordinates.…

A: A)(3,3)r=9+9r=32θ=tan-1(33)=π4tail end of (3, 3) lies in the third quadrant.The polar coordinates of…

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Q: x*dx Using trigonometric substitution , (1+x²) = A) None sec³9d0 B tan20 tan*Ode sec®

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Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A: We will evaluate the given integral as shown below

Q: In 2. Determine whether the series E=1 is convergent explain why. 100

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Q: si 2V ædx = 104/3 Select one: O True O False

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: Assignment On Integral of Trigonometric Functic Determine the integral of the ff. functions. 1. S -…

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Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

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Q: Calculate z=e^-a sin(x)+10 √y  for a=5 , x=2 and y=8 in decimal value

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Q: 4- The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate A(4), A(6),…

A: Integration gives area under curve  area above x axis is positive  area under x axis is negative.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: an=n45nlimn→∞ an+1an=limn→∞ (n+1)4 5n5n+1 n4=limn→∞ (n+1)4 5nn4  5n 5

Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: x’D² – 2xD+ 2 y=4x

A: Using Cauchy differential equations,

Q: 9+ 5+ g(x) 8 4 7- 6- h(x) 3 5 4 3 1 5 4 5 2 3 x-values 4 2 3 x-values If f(x) = g(x) · h(x), then…

A: Solve the following

Q: Given Cost and Revenue functions C(q) = q° - 8q + 52q and R(g) = - 3q + 2500q, find the quantity…

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Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: The height h, in meters, of an object at time t is given by 12t + 18t – 6t2 .h(t) What is the height…

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Q: Find curl (6z i + 7x j+ 3y k). curl(6z i+ 7x j + 3y k) = ( i )i + ( i j+( i )k

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Q: If a company sells a product for exactly the price they are willing to sell the product for, then...

A: answer is in next step

Q: Describe the graph of the equation. r = (8 - 31) i - 14 j O It is a plane in 2-space that goes…

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Q: Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum…

A: The solution is given below

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

A: Given :

Q: Find the general solution of the following differential equation. y''' +y'' + 3y' −5y = 0 [Hint:…

A: Use the auxiliary equation for finding the other roots and general solution.

Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: Evaluate the line integral |-ydx + xdy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: nd the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2-x). Answer:

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: answer is in next step . as per guideline i can only answer one question

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 8 1 + +... p =…

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Q: Find the work done by the force field F in moving an object from P(-9, 7) to Q(3, 3). 2.x. F (r, y)…

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Q: Evaluate the integral using the Integration by Parts formula with u = x, dv = cos(4x) dx. (Use…

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Q: 4. Evaluate •5 (4 – 2.x) dx - 2,

A: topic - definite integral

Q: Use the substitution u = x + 14 to find the following indefinite integral. Check your answer by…

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Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

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Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: Find an equation for the hyperbola that satisfies the given conditions Foci: (+5, 0), vertices: (±3,…

A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)