Jxy co R xy cos y dA R: -1≤x≤ 1,0 ≤ y ≤

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Q: Let y = 2√x. Find the change in y, Ay when x - 2 and Ax - 0.3

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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: Determine the points of discontinuity for the following. 2x+5 f(x) = X-7x+6

A: F(x)= (2x+5)/(x^2-7x+6) Factorise the denominator F(x) = (2x+5)/(x-1)(x-6) Denominator can not be…

Q: Find the general solution to the linear differential equation: y" - y' - 2y = 0 O y = C₁e²x + С₂е¯x…

A: Given that a linear differential equation y''-y'-2y=0. We need to find the solution of this linear…

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Q: 6 5 4 3 a The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: Use an appropriate linear approximation to estimate (Round your answer to three decimal places.)…

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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: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6(in(n)) Find y"(x). y"(x) 6 x…

A: Solve

Q: What is the directional derivative of f(x,y,z) = ln(x²+2y²+ 4z²) at the point P(-1, 2, 4) in the…

A: The given function is; f(x,y,z)=ln(x2+2y2+4z2) Point P(-1,2,4) u=-3i/13 -4j/13 -12k/13.

Q: 1 2.5" y 3" 6 -Х

A: Given data:-

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Break the limits according to f(t)

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

A: Solution: F(x,y) = yi - xj We can sketch it by looking at a small number of vectors to get a general…

Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 1. Find f′ and f′′.…

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Q: and a "0" to be false. P 1 1 1 1 0 0 0 0 q 1 1 0 0 1 1 0 Write a truth table for the proposition:…

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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: *find the decomposition of the partial fraction for the nonrepeating linear factors. 9. 10x + 47 x²…

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Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: PART 1: State the characteristics (order, degree, type) of the given DE. 1. (1-x)y" - 4xy' + 5y =…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}

A:

Q: II. Consider the function f(x, y) defined for all (x, y) by ƒ(x, y) = 232/32 + 2xy + 4x²y (a) Find…

A: Here we have to find the critical points.

Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: Given

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

A: I am attaching image so that you understand each and every step.

Q: Joey is 5 years older than Kimberly. In 8 years the sum of their ages will be 79. How old is Joey…

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Q: (10 sin(x-sin(x-dx 6 2 (Ans: - sin(2x-2) + 5 x + C)

A: Given, ∫ 10sinx-π6sinx-π2dx

Q: 1. a₁ = 2n-1 an 2. An= 5n - 3 an 3. a = n(-2)

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: Answer the following questions for the function f(x)=x√√x² +9 defined on the interval -7 ≤ x ≤ 4.…

A: Concept: Concavity: Assume that f(x) is differentiable on interval I. If f′(x) is growing, the f(x)…

Q: n-1 3n-1 Determine whether the series Σ=1 is convergent or divergent. If it is convergent, find its…

A: Using Cauchy criteria find that series is divergent

Q: Given: f(t) = 8 t 2 Evaluate: F(2) Round-off answer to 2 decimal places.

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Q: Evaluate the limit using L'Hopital's rule. Enter either a reduced fraction or DNE. lim 7…

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 e-{2}- L²s² + n²π² 2_2

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Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: We have to find the rate at which water level is rising.

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Q: Answer true or false. The function f(t) = (et)10 is not of exponential order. True O False

A: Let's solve.

Q: (-9) Σ 5 0 = 1

A: The answer is given below:   Ration Test

Q: sider the following function. y = 6x In(x) y'(x). () = dy"(x). x) =

A:

Q: I. Use the synthetic substitution to find P(x) for each function.mony on oigadi fuo bokww.revi 1.…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We have to find solution of the given initial value problem.

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.

Q: Mark the critical points on the following graph. 20 16- -5 -4 -3 -2 -1 12 18 4 T -8 -12 Clear All…

A: The objective of the question is determine the critical points of the given graph.

Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

A:

Q: Consider the function f(x) = 1 - 2x², -4≤ x ≤ 2. The absolute maximum value is and this occurs at x…

A: Given: fx=1-2x2, -4≤x≤2   As we know the Power law: ddxxn=nxn-1 For maximum and minimum values,…

Q: Find the divergence of the vector field of F(x,y,z) = sinxi + cosy j + z² k. cos x + sin y + 2z O…

A: Option C is correct. To finde divergence I used divergence formula.

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

A: The given statement is