[(x+1)e(x²+2x) dx

Q: Find (f+g)(x) and identify the graph of f+g. f(x)=x² and g(x) = 5 Part: 0/2 Part 1 of 2 (f+g)(x) =…

A: As per our company guidelines we can answer only one question at a time so if you need more answers…

Q: r = 7e0.70 ¬ the interval 0 ≤ 0 ≤ 1 and the straight line egment between its ends. -ea =

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Q: (y − √√x² + y²) dx − xdy = 0 when x = x √(x² + y²) = 1 Option 1 y-√√(x² + y²) = 1 Option 3 y —…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

Q: Show if the sequence converges or diverges using  L'Hôpital's rule…

A: A sequence is said to be converge if its limit  exists, otherwise diverges.L'Hospital rule:- If…

Q: The area enclosed by the two curves y = x² - 4 and y = x - 4 is given by. a. f(x-x²) dx b. (x²-x) dx…

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Q: For the parametric equations r(t) = √t+1 y(t) = t+1 compute dz/dt and dy/dt. Is there any point on…

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Q: (a) Find the slope of the line through (-7,5) and (9,-3). (b) Based on the slope, indicate whether…

A: Given :Points : -7, 5 and 9, -3

Q: 14. Integral 2 dt 31-4

A: Given, ∫23t-4dt

Q: The following differential equation (+1)² + ² = sin a dy dx x has an order of 0 0 O 3 O 1 02

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Q: Given the functions: f(x)=x²³-8x g(x) = √2x h(x) = 6x+7 Evaluate the function h (f(x)) for x = 3.…

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Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

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Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

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Q: Which of the following represents the region of the complex plane defined by |z−2i-3| ≤2? (A)…

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Q: π/2 1-z [²6² x cos ydzdydx = = [Show your solution.]

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Q: Evaluate the limit given below. lim 9ti+ 1²-16 1²-4t j+ k 2 (→ 4

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Q: Q/. Find the limit of the function * lim 4-√x²³+7 3 X

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Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y²=0

A: The given differential equation is:  1-xy'-y2=0   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ;…

Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t) =…

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Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

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Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

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Q: Find the general solution of the given second-order differential equation. 30y" 19y' 5y = 0 -…

A: See the details solution in below

Q: Q2) A: By using partial method solve [2x² cos x dx

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Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

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Q: S(x + ex+1) dx 0 2. Sx5¹2 (x³ + x² - 7) dx 0 2x + 1 3. dx 2 0 e

A: Topic = Integration

Q: 2. Find x (round your answer to 2 decimal places) 80° 70° 7 X

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Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

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Q: Refer to the functions r, p, and q. Find the function (p.q) (x) and write the domain in interval…

A: We can answer the question as below.

Q: Write an equation of the line that satisfies the given conditions. Give the equation (a) in…

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: I have stated the used formula in the solution

Q: Evaluate the following antiderivatives. S 4x dx 4e e8x +4

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Q: Law of Sines Law of Cosines Maze Round all angles to the nearest degree and all sides to the tenths…

A: Disclaimer : Since you have posted a question with multiple sub-parts ,we will solve first three sub…

Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…

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Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

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Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

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Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: off f(x) dx, where Evaluate [ f(x) f(x) dx = f(x) = 18x², -T≤x≤0 19 sin(x), 0≤x≤T.

A: We have to solve given Questions.

Q: = A region bounded by f(x) 9 8 Find the volume of the solid formed by revolving the region about the…

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Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: Evaluate the integral. 11 sec 40 tan ²0 do 11 sec 40 tan ²0 d0 =

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Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: A region bounded by f(x) = √√√x + 3, y = 1, x = 1, and x = 4 is shown. What is the volume of the…

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Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Since the creation of a social program, the percent of persons 65 years and over with a family…

A: Here we have to us ethe given function.