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

Q: My - Nx N If = Q, where is a function of x only, then the differential equation M + Ny = 0 has an…

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Q: Is it possible to get the area between y² = 3x and y = x³, using a. vertical strips b. horizontal…

A: Question is solved.

Q: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

Q: The f is equal to 2x³+x X H. In (2x²+1)2 W. In +C I (2x²+1)2 K. None of the choices +C O. In R. In 1…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: The figure below shows J(a) and its local linearization at a = What is the value of a? a = 2 What is…

A: linearization

Q: Find the limit: lim 8118 8-∞ 03 4 2 8 314 (3x − 1)√9x¹ +1 12x³-1

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Q: Evaluate 1 dx (x - 2)³

A: we have to solve the integration

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

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Q: Find fx (x,y) and fy(x,y). Then, find fx(1, -2) and fy (-3,3). 4 f(x,y) = -2xy +9y² + 10 fx(x,y)=

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at a = 10 for f(x) = ln(x + 1).

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Q: Solve step by step the following problem (be clear please) XXXXXXXXX Calculate the roots of the…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³ - 4t² + 5t + 32)sin(t)dt

A:

Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

A: I have stated the used formula in the solution

Q: Part II. Calculating Second Order Partial Derivatives. Find all the second order partial derivatives…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Use mathematical induction to prove the following: 1 + 3 + 5 + ... + (2n – 1) = n² for n ≥ 1

A: This question can be solved using the four basic steps of mathematical induction.

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

A: We have to evaluate the given integral.

Q: (a) Use the Maclaurin series, In(1 + x) = x -+-+ = E=1(−1)n+12², 2 X to derive the series expansion…

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Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: Find the solution of the given initial value problem. ty' + 2y = sint, y() = 9, t>0 y

A: y' +2t y =sin ttEquation is of Bernouli's form:P(t)=2tIntegrating Factor:I.F.=e∫ P(t) dt     =e∫2t…

Q: Use false position method find the diameter (D) of the pipe which satisfies the follow ation:…

A: answer is in next step

Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

A: follow next step

Q: Find the volume of the solid obtained by rotating the region B about the line y = -1. A B

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Q: 2. Which integral gives the area of the region in the first quadrant bounded by the graphs of y2 = x…

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Q: f21 csc 3xcot3xdx

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: Find the tangential and normal components of the acceleration vector at the given point.…

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

Q: 1.₁-1/dt 2. -1 -2es-1ds

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Q: Two people are 8 meters apart. One of them starts walking towards north at a rate in which the…

A: This question is related to rate of change, we will solve it using given.

Q: 3 *+ 3 2- 1 نها 1 2 3 To find the blue shaded area above, we would calculate: [ f(x) de f(x) dx =…

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Q: (B): Find the integration by using substitution method [x√2x - 1 dx

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Q: 5. By considering the derivative of the function f : [-1,-1] → R defined by f(x) = show that f-¹…

A: Concept: inverse function: An inverse function, sometimes known as an anti function, is a function…

Q: Z X Y Z X (

A:

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t + 32) sin(t)dt

A: We can evaluate the given integral by using the tabular integration.

Q: Find the volume of a pyramid with height 19 and rectangular base with dimensions 4 and 11 using…

A: Let's find volume by integration.

Q: 7. S d.x 25x²+36

A:

Q: Question 8 (a) Find the following integrals: 1 (1) √4x²+0 d 6 (ii) -dx -2x-8

A: (i). Given: I=∫14x2+9dx   ...1   As we know that; The trigonometric identity; 1). tan2x+1=sec2x 2).…

Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

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Q: noon and 2 pm the population triples, at what time should the population become 100 times what it…

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Q: Save On Shoes bought a shipment of 677 pairs of women's shoes for $26.00 per pair. The store sold…

A: Given that     677 pairs of shoes bought for $ 26 per pair                        115 pairs sold…

Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

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Q: Tutorial Exercise Calculate two iterations of Newton's Method to approximate a zero of the function…

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Q: Let f(x, y, z) = n(4xy) + sin(xy² + ye*). Find fayz.

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Q: 7. Sara wants to show that (a × b) × ê ‡ à × (b × c). Yasmina says that it is impossible and comes…

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Q: anchor 1, anchor 2 One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the…

A: Let's solve part d and e.

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: A rectangular field as shown is to be bounded by a fence. If fencing is not needed along the river…

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Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: y = 1 x=y² B A (0,0) y=x² C (1, 1) X=1 X

A: