3. Explain why lim √2x - 6 does not exist.

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: The given data is: fx=∫xx3t4dt  To find the value of f'x

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Q: Calculus

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A: Please see the below picture for detailed solution.

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A: Given:    Gr=x+y+z,    S: z=2x-y       0≤y≤1, 0≤x≤y Substitute z=2x-y in Gr     Gr=x+y+2x-y…

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Q: Consider the following initial-value problem. y' - y = 2 cos(7t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Given the initial-value problem is y' - y = 2 cos7t,  y0 = 0

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Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: 1 *{{37² +3=6} S

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Q: to find all the second order partial derivatives of the given function. The function is f(x, y) =…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Let's find inverse Laplace transform.

Q: PART 2: Obtain the general solution dv V dP P Obtain the particular solution y' = 1 + y² such that…

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Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: Given the function graphed below, evaluate the definite integrals. - 4 3 یبا 3 2 1 -1 -2 3 [' = f(x)…

A: From the given graph, we have to find the value of the definite integrals.

Q: Screenshot (16 Find the solution of the given initial value problem in explicit form. 1 y' = (1 -…

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Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist. O…

A: For the solution of the problem follow the next step.

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Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: What is the gradient of f(x, y, z) = x³z2 + y³z +125z - 1 at P(5,5,-1) ?

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Q: For the function f(x)=x²-5, write Newton's formula as n+1 = F(x) solving f(x) = 0. Type in x_n for n…

A: The given function is: fx=-x2-5 And the given Newton's formula is: xn+1=Fxn=xn-fxnf'xn   As we know…

Q: • . 19

A: the equation of ellipse is given  below

Q: potential

A: Please refer to the image below

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A: Given: f(x)=∫-xx2sin2(t3+1)dt

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Q: ANSWERS Newton's law of cooling states that the temperature of an object changes at a rate…

A: We will find the required solution.

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) 200+600t 120t², where t is in…

A: The traffic flow rate across an intersection is rt=200+600t-120t2, where t is in hours and t=0 is 6…

Q: (a) Consider the boundary value problem (BVP) y" - 49y=tan(7x), y(0) = 0, y(n/7) = 1. Does this BVP…

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₂ = x + 2…

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Q: 9 == find f'(x) using the limit definition of the derivative. x Given f(x) = f'(x)=

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Q: Solve the initial value problem. ds dt I cost- sint, s = 3 2

A: To solve the initial value problem.

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in…

A: Here the age A (in years) is given by, A=-8267lnDD0 It is given that the amount D of carbon-14 that…

Q: Find the domain of the vector-valued function given below. r(t) = √√16-t²i+ 1 t+6 j+(t−4)k

A: We have to find the domain of the vector-valued function rt = 16-t2i + 1t+6j + t-4k

Q: For the function f(x)=ln(1−5x)​, find the Taylor polynomials of orders​ 0, 1,​ 2, and 3 generated by…

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Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

Q: Let y 3x². Find the change in y, Ay when x = = 4 and Ax = : 0.2 Comm Find the differential dy when x…

A: We have to solve given Questions.

Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use the triangles given on the right to evaluate the expression given below. If necessary, express…

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Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

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Q: area is given by the function x^0.5+y^0.5=1

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

Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and y> 0…

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Q: 5. The graph shown here is the graph of g'(t). area = 2 area = 2 PUA 5 We know that g(0)=5. Use this…

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