Q2)Evaluate the following integrals in (3) 1- dx 3.x²

Q: Evaluate the following dx (x - 1)(x-2)(x-3) integral s

A: We need to evaluate integral.

Q: The equation of the graph shown below is written in the form y=- x-h D A 7. The value of t is i than…

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Q: for the function below, tr domain and the range is respectively y = x²/5

A: We have to find the domain and range

Q: Evaluate the double integration: e²x e dxdy

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: for the function below, the domain and the range is respectively -2+√1-x

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Q: A- for the function below, the domain and the range is respectively y = |x|-2

A: Here we have to find the domain and range of the given function

Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given problem:- Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an…

Q: * Use the graph below to answer questions 7 and 8* The equation of the graph shown below is written…

A: This question can be solved using the concept of horizontal and vertical asymptote.

Q: 1. An object has a mass m = P+1 3p+1 and density p= m P-1 Determine the volume v, where p = [K]…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 1. y' = x y+x²y

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Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: Find the Laplace transform for e¹t (t² + 3t+5)

A: Given e4t(t2+3t+5)We need to find the laplase transformApply transform ruleif L{{f(t)}=F(s) then…

Q: 1-C03 (2X dx

A: We have to evaluate ∫11-cos2x dx.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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Q: 9. 10. If f(x)=√ex, the derivative is: √ex a) f'(x) = Vex b) f'(x) = √ex c) f'(x) = 2x Which of the…

A: Calculate the derivative of both problem in the following way:

Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: 0 Question 5 サ lim f(x) does not exist. ✓ [Select] True False [Select] Find all z-values at which f…

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Q: Solve the given differential equations: dy 1. 2+y² dx

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Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

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Q: 8- The solution of differential equation y" + 4y = 0 is.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Starting point: (3,1) End Point: (5,1) Domain: (XERI 3 ≤x≤ 5) Range: (YERI 1 ≤ y ≤ 2) List of…

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Q: C-the derivative is y=0³ e 28 cos 50 e 20 (3cos 50-20 cos 50-50 sin20) it's 02e-20 (3cos 50-20 cos…

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Q: B) The Value of the integration for the below function shown is : sec²2xdx = [sec²2x+c] tan (2x)+c]…

A: To find out the integration.

Q: Use the p-test to decide if the following integrals converge or diverge. If it converges finds its…

A: Topic:- application of integration

Q: Evaluate the line integral along the curve C. [(x+3y)dx + (x-y)dy, C: x= 2cost, y = 4sint, 0≤ts-…

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Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2).

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: To which of the following scenarios could the equation dT dt -k(T- with solution T(t) = 25+ 35€ k> 0…

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Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Evaluate the following dx (x - 1)(x − 2)(x-3) integral s

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Q: Consider h(x, y, z) = cos (ry) + e + In (zz) at the point P (1,0, P(1,0,¹). mine the following: (a)…

A: Given problem:-   consider h(x,y,z)=cos(xy)+eyz+ln(xz) at point P(1,0,1/2)  Determine:- (a) the unit…

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: || y = = x²-1 x²+x-2

A: Given

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: i) lim I-18 /976. T³ +1 Mar

A: Here is the solution:

Q: a. b. C. [(x² + 2x³ + 4x + 10) dx [ 6xe*² dx [ In x dx

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: find y dy dx 2x-1 x-3 for the following functions b) y = x³e-x

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Q: Numerical Integration. Use the table provided for the integral to find the given Round each…

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Q: the area of the region between the x-axis and the graph of the functionshern X = 2 X=1 below and the…

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Q: Solve the following initial value problem. y"-2y' + 2y = 7x+1; y(0)=3, y'(0) = 0

A: The given initial value problem,y''-2y'+2y=7x+1; y0=3, y'0=0

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: Q5 Find the limit or show that it does not exist. 9. lim 6t+t-5 --8 9-2² h. lim (ex + 2cos3x) sin²x…

A: Please follow the next step.

Q: - be to your advantage to simplify first.

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Let's find value of y(1.2)  = ?.

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 42 1-0 6. Find lim f(x) if, for all z > 1, 140 10c²…

A: First i have written the squeeze theorem and find the limiting value of problem (5) and (6) and then…

Q: The Value of the integration for the below function shown is : sec²2xdx

A: We can solve the given problem as follows:

Q: Ex: Estimate the value of №.1.5 by..binamia.. sevies. Sol 4.5 = (1+015.) ². X=0.³.5 m = 0.15... 3 •:…

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