s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

Q: 1. a- Find a result by using variable separation for dy dx b- y³y+x³=0

A: Note:- These are multiple questions and acording to our company guideline we can do maximum 1…

Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is (a) 2(+2)(8²+45-23) (s²+45+13)³…

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Q: R is the region bounded above by the function f(x) = −2x+1 and below by the function g(x) = 2x/3 − 8…

A: Area bounded by two functions f(x) and g(x) over the interval [a, b] can be determined as…

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

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Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

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Q: 1. If f is a function, then limf(x, y) = f(2,5). (z,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0)…

A: Answer 1. False

Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: O 2028 (51n 20) O 20…

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Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: x³x² j - 7x + 13 x² - x - 6 -d.x

A: To evaluate the integral.

Q: solve the system of equations by Grammer Method. 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 2 x₁ + 2x₂ +…

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Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: dx √√x + ³√x X

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: +[ƒ Given that 5 ≤ f(x) ≤ 6 for -4 ≤ x ≤7, use property 8 of Section 5.2 of the Stewart Essential…

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Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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Q: 20. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

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Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

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Q: Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of the solid…

A: The symmetry means we can integrate from 0 to 1 and double the answer. x = 2 + y² opens right and…

Q: Find the area between f(x)=x² - 16 and the x-axis from x = 0 to x = 7. The area is square units.…

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Q: Find the area enclosed by the curves f(x) = 33 - x² and g(x)=x². The area (rounded to two decimal…

A: The region bounded by the curves fx=33-x2 and gx=x2

Q: tank has pure water flowing into it at 10 liters/min. The contents of the k are kept thoroughly…

A: Please refer to the image below

Q: Compute the definite integral T/4 5 sin² (3x) dx

A: Given, ∫0π45sin23xdx

Q: n 1: Given the function f(x) (b) find fl 1) ( = : 3x² − x, then (a) find the derivative function…

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Q: Use the matrices below to perform matrix multiplication. B = If the operation is undefined, enter…

A: We have to find products

Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: topic - area bounded by curves

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Find the average rate of change of the function f(x), given below, from x = -2 to x = 5. f(x) = x² +…

A: Topic = Functions

Q: Using the Limit Laws, find limt→0 t2+9−3t2. Do not use L'Hospital's Rule.

A: By using the Limit Laws, to find limt→0 t2+9-3t2.

Q: For j(x) = (1-x²) (-3x³ + 2x), find j'(1) by applying the product rule. Provide your answer below:…

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Q: 11) S₁0 x ³ lnx dx

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Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

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Q: Q3// 1. Sketch the region D and Evaluate: [ f(x+y) dA Where D, is the triangle region region in the…

A: Let's solve given double integration.

Q: 2. Find the first 4 terms of Taylor series for the function (In x4) about x = 3 ?

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Q: Let F(x) = [² costdt. Find F'(x).

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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

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Q: Find Laplace Transform of f(t) = cos3t By DEF.

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Q: Find the general solution of the following differential equation. 64y" + 16y' + y = 0 NOTE: Use c₁…

A: The given differential equation,     64y''+16y'+y=0

Q: Solve equation: 4 sin x + 3 cos x = 5

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: 6. Find the radius of convergence and the interval of convergence for E-0¹ (x-2)".

A: 6. The given power series     ∑n=0∞12nx-2n

Q: @)X = y² + 1₁ x = 0, y = -1 y = 2 The appropriate integrand to find the volume of the solid…

A: Solution is given below:

Q: Use sigma notation to write the Taylor series about x = 3 for the function. ON X 1

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Q: 13. Integral √x dx

A: Here we have to find the integral.

Q: 2- Concisely describe what the following terms mean for a set of vectors and how we quickly check…

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: x' sinx dx

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Q: Solve the initial-value problem. x(t) = x" + 3x' + 2x = 1 + t², x(0) = 0, x'(0) = 2

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