A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

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A: To find the solution of given differential equation.

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A: To find dN/dt for the followingN=N0e-0.2t

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Q: QUESTION 4 At noon, Ship-A is 210 miles east of Ship-B. Ship-B is sailing due east at rate of 30…

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Q: x+ 16 The function f(x) = is one-to-one. For the function, a. Find an equation for f (x), the…

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Q: Evaluate 4x2 + 4x + 5 dx

A: ∫4x2+4x+5dx=∫4x+122+4dxLet u=x+12.=∫ 2u2+1du=2·∫u2+1duLet…

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A: In this question we have to find the Integration.

Q: 17. Graph the line that passes through the given point and has the given slope: 5 (-3, -2) т%3D

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Q: (b) Oppositely directed to 18i – 12j + 6k. - 3 i 1 j + k V6

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Q: Does the series defined below converge or diverge? Give reasons for your answer. 5 a, = 5, an + 1=7n…

A: Here, the given terms are: a1=5, an+1=5nan So, a2=52a1=52(5)=522a3=52a2=52522=5322... So, an=5n2n-1

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Q: For what values of a, if any, does the series shown below converge? 00 a 2 Σ n+6 n+9 n= 1 Select the…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' =…

A: The given differential equation is; y' = x-2ycot(2x).

Q: Verify Green's Theorem by evaluating both integrals ƏM r dx + x² dy= dA ду Ne for the given path. C:…

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Q: Find f'(x). f(x) = (5x + 7) (1 – V)° 105(5x + 7)° (1 – Vã)° f'(x) = 3(5x + 7)' (1 – Va) f'(x) =…

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Q: 12x 3. Se dx

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Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: Determine the series' radius of convergence and interval of convergence: 00 1) En" x" n=1 E 2"n² x"…

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Q: Area bounded by the curves y=e*, y=e", x=0 and x=In2 (A) 604/9 B) 304/7 304/14 (D 502/9

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Q: 4. 6x3 2 7x2 + 3x

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

Q: Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

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Q: cosh? Vx dx 4-) a csch vx vx csch vx

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Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

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Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: Problem 2. Which gives the Laplace transforms of the given time-domain function? -2.5 In…

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Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmic…

A: The given function,    y=x.secx.x2+1

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Q: 4.) Find the area of the region bounded by the curves y =x- 6x? + 8x and y =x - 2x

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Q: dy Solve dx x +y and find the particular solution when y(1) = 1 dy = x – y and find the particular…

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Q: Consider the following. f(x) = x4 + 6x2 – 27 - (a) Write the polynomial as the product of factors…

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Q: A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania…

A: Ht = 56.72 + 23.62sin0.50t-2.08       ,t∈1,13Lt = 41.89 + 21.52sin0.52t-2.27        ,t∈1,13…

Q: Use l'Hôpital's Rule to evaluate lim 4x( cos (2x) - 1) sin (5x) - 5x 4x( cos (2x) - 1) lim sin (5x)…

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Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In this question we have to find volume by revolution of the given curves.

Q: J 2 sec sec x tan tan x dx

A: Let's find.

Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

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Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: A tank is discharging water through an orifice at a depth x (m) below the surface of water whose…

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Q: Evaluate the integral sin* r cos r dx. (a) sin' z- 1 sin r + C

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Q: A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000 square…

A: Let length =l Breadth = b

Q: Given the differential equation y" = 4 x y' Using Reduction of Order and the letter "R" to this…

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