1. Find the volume. 3im 4 cm 5 cm 9. 6 im

Q: r(t)=(cost+t sint)i+(sint -t cost)j, a/2<15a. %3D

A: We have to find arc length of given function.

Q: Solve the initial value problem. dy =x*(y - 2), y(0) = 9 dx 囚 The solution is (Type an implicit…

A: To solve the initial value problem.

Q: Determine whether the equation is exact. If it is then solvė it Oy- (7 In y 3)dt = 0 Select the…

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Q: Let a, n be positive integers. Knowing that 15a - 13n = 1, we deduce that the multiplicative inverse…

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Q: p'AP = 0 49] 01 0 50] 0] 0 50 0] 0 57. 0] 57 -7 p'AP = 49 p'AP = 49 p-'AP p'AP = 7

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Q: Find the decimal approximation of V22 to the nearest hundredth without using a calculator. Show all…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: Σ 2n n + 2 h = 1

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. dx X…

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Q: given: v=(3t - x)e-2t 1. find (d2v)/(dt2) 2. find (d2v)/(dtdx) complete solution

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Q: f(x) 5 5 5 Interval: 0 <x<3

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Q: Describe the graph of the equation. r = 10 sin 17t i+ 10 cos 17t j O It is a circle of radius 10 in…

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Q: Octal numbers are made using the eight digits 0,1,2,3,4,5,6,7. How many octal numbers are 4 digits…

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Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: 14. Let (a, b) = 1 and x" = yb for some integers a and y. Then prove that there exists an integer n…

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Q: 4. Show that the norm on (° given by I| (21, ..., In...) |lo= sup{|7;| : j =1,2, ...} %3D can not be…

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Q: erform the following ope (6+3i)(5-2i) a. (3i)*

A: # As per the guidelines we are entitled to solve one question at a time. Please resubmit the other…

Q: S() = {2 -1st<0 0st<1 f(t + 2) = f(t) for alle t.

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Q: Convert the following rectangular coordinate to two polar coordinates (all angles need to be between…

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Q: 1. Fit a straight line y = ax + b to the following data 01 3 8. y 3 4. 1

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Q: 50. S sin*2x cos“2xdx

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Q: Solve the initial value problem. dy =x*(y-2), y(0) = 9 dx The solution is (Type an implicit…

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Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

A: We have to find the maximum net profit using the simplex method.

Q: Show that the equation + 2x- + (1- y²) dx2 dx²y dy? 2 is elliptic for values of x and in the region…

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Q: log,(2x-1)= 2. Find x

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Q: 5. Determine the largest interval that pλ can lie in to approximate p to at least two significant…

A: To determine: The largest interval that pλ can lie in to approximate p to at least two significant…

Q: Find a minimum value for the radius of convergence of a power series solution about xg. -7x- <+12)…

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Q: 1. Let B = be a 1 basis for the subspace V. Find the matrix that projects any 4 vector v E R* onto…

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Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

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Q: Find a general solution to the differential equation using the method of variation of parameters 5t…

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Q: Determine whether the equation is exact. If it is then solvė it oy-7 In y 3)dt= 0 Select the cortect…

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Q: find the Lineartransfromation T:Maxz (R) /R whose matrix MT with vegard tothe base and the base…

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Q: Consider the contour represented in the following figure. The points marked on the figure are А(3,…

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Q: Calculate sin(5) and cos(-270°). Include a sketch of each angle.

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Q: Derivatives of Algebraic Functions Directions: Prove the following statements. 13x + 20x* 2Vx3 +2…

A: Using the product rule of derivative, it can be written that: f·g'=f '·g+f·g'.

Q: T/2 S [costi-sit cos ti – sin 2tj +sin? tk |dt.

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Q: dy Given a differential equation dx -4 Q1 with the initial condition, y = 2. 8 y' cos (2.x) (а)…

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Q: f Loeig)= by? Iny). por yso Determine the partial der Ivatives df, de , deAPc Ond show that d²f = af…

A: The solution is given as

Q: 3260° j2 (1 + j) 2430° 2 1 Evaluate j5

A: Let us find the determinant

Q: Find a number that provides a counterexample to show that the given statement is false.

A: We have to find counter example for each of the given statement.

Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). |3D r(t) = 4 cos(7t)i + 4 sin(7t)j + 3tk K(t)…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below y+8y…

A: Laplace transform of the differential equation

Q: Σ S(0.881)" n=1 8.

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Q: Let p be a prime and let a ∈ Fp \{0}. Prove that the Galois group of f(x) = xp − x +a over Fp is…

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Q: 2.(a) Solve the following system of linear first-order differential equation (2D – 5)x + Dy = e' %3D…

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Q: ||r(t) × r"(t)|| to find «(t). 3 Use the formula k(t) r(t) = t'i + t°j 126t5 K(t) (4+ 81d14) 3 2

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Q: Fer Me fellany geoph fue dlal

A: We will use the basic knowledge of graph theory to answer this question completely and correctly.

Q: Solve using the differential operator D-d/dx 1. dšy d*y + 41ds d3y + 86 dy dx2 + 10 + 92 2 + 40 = 0…

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Q: QUESTION FOUR (a). A curve with equation y= f(z) passes through the point with coordinates (0, 1)…

A: We can solve this using A) substitution method b)separable method as well as c)exact equation

Q: Determine the vector field of F. F(x, y) = yi – xj 1 1

A: We need to determine the vector field of Fx,y=y i^-xj^    x,y Fx,y=y i^-xj^ =y,-x 1,0 0,-1…

Q: 25 s3(s? + 4s + 5)

A: