Calculate the value of the line integral fds where f(x,y,z)=e² and C is described by C (x, y, z)=(2t,t², In(t)) for te[1,4]

Q: Graph each function over the indicated interval. X Г

A: 1. (a) Given,                    y=5x;     -2, 2

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Q: Q1) Evaluate whether these statements are a tautology or not: 1) (pg) → (~q"p). 2) If p and q, then…

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Q: the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0≤ x ≤ 1,0 ≤ y ≤ √1-x²,…

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Q: 176. Gram-Schmidt. Use the Gram-Schmidt procedure to construct orthonormal bases for the subspaces…

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Q: 7. Find the area of the region cut from the first quadrant by the curve r = 2(2 sin 20)¹/2

A: Solution :

Q: 4. Use Cartesian coordinates to set up the iterated double integral given by Iff v² av D where D is…

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Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: It is given that during the first month the rabbits produce no offspring and thereafter produced one…

Q: Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5…

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Q: Consider the following Gauss-Jordan reduction: 0 10 07 0 0 FEC 56 70 →> 810 = 1 00 100 0 01 001 0 1…

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Q: 5 By Separation of variables, Solve the following PDES :- ²4 J² ● dt² dx² 0 o u(e,t) = u(s, t) =6…

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Q: 55² +25-4 (5+₁) (S+₂) (S+ 3) Taking Laplace transform

A: First do partial fraction then find inverse Laplace transform by using standard formulas as in next…

Q: By direct partial integration, Solve the following 5 4 PDES - X 8²z буду dZ =0, Z(X₂0) = X+X, Z (2,…

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Q: 4. Use L'Hopital's rule to evaluate sinh(2) lim x+0 sec(x) - 1

A: we have to evaluate  limx→0sinh2xsecx-1=00 It is known that ddxsecx=secx tanxddxsinhx=coshxddxtan…

Q: On what formula?

A: To determine: The formula required for any computation when a graph of a time series is given.

Q: • Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: 14. Find the cube root of 15 correct to four significant digits by Fixed-Point and Secant methods.…

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Q: Ronnie goes to the racetrack with his buddies on a weekly basis. One week he tripled his money, but…

A: Given that Ronnie goes to the racetrack with his buddies on a weekly basis.

Q: 3. Dwight is selling baskets of beets. If the profit in selling a baskets is P(x) = 200x² 3 200x +…

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Q: 6. s] Set up only a triple integral that will give the following: (a) the volume of R using…

A: (a) Given,R:0≤x≤1 ,  0≤y≤1-x2 and 0≤z≤4-x2-y2 we know the relation between cylindrical and cartesian…

Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

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Q: Let F(x,y)=ln(x² + y²), then answer the following (4) Find the boundary of the function's domain.…

A: A multivariable function is an expression involving more than one variable. If z=Fx,y, then the…

Q: hat is grap

A: First of all, in graph there should be one edge from a typical vertex to another vertex. In brief, a…

Q: = 3. Find the pointwise limit g of the sequence {n} on I = [0, 0), where gn(x) = the E-definition…

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Q: 2. a) b) c) Let M be the pushdown automata (PDA) defined as: M = ({90, 91, 92]}, {a, b, c}, {A}, 8,…

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Q: ked to calculate the specific heat of water at 61°C. The specific heat of water is given as a nction…

A: We can solve this using given information

Q: het hey2= усаз хуся) - 79 (2) - you tay al soluc: hq = 36t - 242t > " юные '=at усо) =ц' соз су" (o)…

A: As per the instruction, we will be solving part (a). For (a), Let L(y)=y(4)+y(3)-7y(2)-y(1)+6y and…

Q: 1. Consider the following statement about three sets A, B and C: If An (BUC) = 0, then An B = 0 and…

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Q: Problem 1. Consider the differential equation dy 2x²+2 = dx X where y = 5 at x = 1. Use RK4 Method…

A: consider a differential equation dydx=2x2+2x with initial condition y1=5 use RK4 method to determine…

Q: Let p= "It is extremely humid." Let q = "It will rain tomorrow." Convert into symbols: a. Plz solve…

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Q: from t = 7 to t = 9. X || 5 y = 5 ln((t/6)2 – 1) -

A: Given function is x=56t and y=5lnt62−1. We have to find the length of the curve defined by the…

Q: Let F(x,y)=√√y-x, then answer the following ( (1) Find the function's domain (2) Find the function's…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

A: Given the function x²+y²=2² (a) Here the function is the equation of the circle with radius 2 and…

Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: 03 (1) , 0،65 = (لار = 9 + ۱ - ( - ) .b 1

A: Given the 2nd order differential equation:  x2-xy''-xy'+y=0 with conditions  y12=0.65, y'12=0.3…

Q: - x, then answer the following (1) Find the function's domain (2) Find the function's range. (3)…

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Q: Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the following…

A: Given that                    P(A)=0.25, P(B)=0.45, PAc∩Bc=0.43

Q: Let V be a vector space, and assume that the set of vectors {α, β, γ} is a linearly independent set…

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Q: Let p= "It is extremely humid." Let q= "It will rain tomorrow." Convert into symbols: a. "If it is…

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Q: INSTRUCTIONS: • Please write clearly and understandable way. • Write all the corresponding Given…

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Q: 00 10x Find a power series for f(x) = |x|< 1 in the form " an. (x² + 1)² n=1 Hint: First, find the…

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Q: 3 By direct partial integration, Solve the following PDES 8- J 8²u axdy 2 = cosx cosy, x4(X₂ #) =X U…

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Q: 5 By separation of variables, Solve the following PDES :: ²4 ²4 dt² dx² 0 o , u(e,t) = u(5,t) =6…

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Q: 19. f(x, y, z) = x² + y² + 2², holds 2x + y + z = 1, -x + 2y3z = 4

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Q: js(x) dx = (b-a) [ƒ(a) + f(b) -a) [¹ 2

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Q: Find the general Solution of the following PDES • 3 Их + 2 Иу SO > u(x,c) = чех (3У-2х)12 ans3-…

A: Given partial differential equations are , (.)    3ux+2uy = 0   ;    u(x,0) = 4e-x (.)…

Q: Q5/Solve for x the following inequality and show their solution set (x: x2-x-30-01

A: We have to solve for x. Given inequality is  x:x2-x-30⩽0. Now we can solve for x .

Q: Consider the differential equation " - 4y + 5y = f(t). such that y(0)=0 y y'(0)-2. The function f(t)…

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Q: Question 41 EULER'S METHOD FOR SOLVING DIFFERENTIAL EQUATIONS NOMERICALLY y = f(x,y) y(x) = y Step…

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Q: 3. What is the angle between A and B if A.B=0 4. Find (u+v) (2u-v) given that uu=4 u v=-5 and v.v=10…

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