Q3:- A. Find the Gamma function of [(1) using definition

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Q: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u…

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Q: stion T1_Q3 rove by contradiction that there are no positive integers p and q such that 4p²-q² = 25

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: According to the instructions, We are instructed to answer only one question , the other questions…

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

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Q: 2.(D5 – 2D³ – 2D² – 3D — 2) y - - = 0

A: To solve the higher order differential equation.

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A: To find: Maximum profit

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Q: 2 (2x² + y²) dx - xydy = 0 X2 O = C y² +4x²2 ○ In x + In (²4²) = C Oy - 1 = x - 3+ C .2 X O = C…

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Q: For each of the following functions, do t a. Determine if f is continuous at a. Determine if f is…

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Q: 3. Erin, Catherine, and Shannon are dividing a large bag of candy. They randomly split the bag into…

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Q: The linearization a at a = 0 to √8+7x is A + Br. Compute A and B. A B=

A: To Find: Linearization for fx=8+7x at a=0

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Q: 1. Find the value of (0) for a solution (x) to the initial value problem: 6y" + y' — 2y = 0; y(1) =…

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Q: • Let I be a vector-valued function defined by &(t)= it tal [ouve It cosnt 3-√61-62 12(1-2)' Int if…

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = 2x³ + 3x² - 120x (a) Find…

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Solve for the homogeneous linear equation given below 1. xydy- (x + 2y)² dy = 0 O-In ()-4lny = C…

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Q: The function (f) is defined by: F(x)=x² if xe[-^;^] (i) Give the graphical representation of the…

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

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Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: answer  is next step . as per guideline i can only answer 3 question .

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Q: please answer asap

A: Using integration formula,

Q: (16,5) 5 10 15 (4,0) (16,0) (a) Find the length of each side of the right triangle. Distance between…

A: The triangle has vertices 4,0, 16,0, 16,5

Q: a) ㅠ 3 cos x sinx dx

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Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

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Q: Find dy dx 2. y tan-¹(csch x³)

A: Given y=tan-1 (csch  x3 )

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A: To find the slop and  t intercept.

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A: This question can be solved by the concept of resolving of vectors into horizontal and vertical…

Q: Q1: A. Solve the following differential equations dy 1. dx = (1 + y²) ex dx

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Question 2. Evaluate the following integral 1. 1., integration (shade the region). Show all your…

A: Given problem:-

Q: 5. For items 1-2, identify the substitution equations and solve the solution for each. (x - 2y + 5)…

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Q: Find the area under the curve y = 3x 2 from = 1 to x = 2 .

A: We have to find the area of the given curve.

Q: Find a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

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Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: see below the answer with explanation

Q: Applications of Differential Equations 3. A small metal bar, whose initial temperature was 20° C,…

A: Above question is solved.

Q: 10e²x When x = 0, y = 0, y' = 0 9. (D2+1)y= Ans: y=-2 cos x-4 sin x + 2e2x

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Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: et dx 2 S² teed x 3

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Q: 7. y - 5y + 7y" - 5y' + 6y = x² + 3x - 5 Ans: y = C₁e³x + C₂e²x + C3 cos x + C₁ sin x + x² + ²x -…

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

Q: 2. 2 y² - 4y + 10 dy

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Q: 3rc Som sin ² (2) ves" (4) dix

A: Wallis Integral formula :

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Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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Q: The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1 where is the number of…

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Q: (d) Any local minimum or local maximum of a function f must occur at a critical point of f. True…

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Q: Evaluate cos √6x dx using a substitution followed by integration by parts.

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Q: Find SS₁R³² z²dA where R = {(x, y) | 36x² +9y² ≤ 324}

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