Factor the polynomial completely. P(x) = 625x4 − 25

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x)= 0.254 the…

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Q: KS Profiles Tab Window Help 6 Integrals Involving Exponer X +…

A: The given integral is xe-x^2.

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Q: Solve the given Bernoulli equation by using this substitution. O O O y = ± y = ± y = ± y = ± y = ±…

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Q: Find the critical numbers of the function f(x) = 4x5 - 25x4 - 20x³ +9 and classify them using a…

A: We need to find critical numbers and classify.

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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: Let y = sin (5x). If Ax= Ay~ = error = Find the percentage error - Question Help: Video Submit…

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

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

A: Our Aim is to find the inverse Laplace Transform of the following function given…

Q: Problem #1: Which of the following functions is continuous at (0,0)? to yo (i) f(x,y)= = (ii) g(x,…

A: The objective of the question is checking the continuity of the given functions.

Q: 21. If u = - y+z a) 0 Z z+x x+y b) 1 ди then the value of x + y + z 2 is: c) u d) None 22. The…

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y"" + 2y" - y' - 2y =…

A: Solution is given below:

Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

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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

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An automobile company is ready to introduce a new line of cars through a national sales campaign.…

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Q: A solid right circular cone is made of brass. The mass of the cone is 5080 grams, to the nearest 10…

A: Formula to calculate :-Density=MassVolumeVolume of the cone=13πr2hwhere r=radius of the base of the…

Q: Show that the differential equation x³y² + x(1+yº)y' = 0 is not exact, but becomes exact when…

A: To show that the differential equation x6y7+x1+y6 y'=0 is not exact, but becomes exact when…

Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: Consider the following. W = xyz, X = S + 2t, y =s - 2t, z = st² (a) Find aw/as and aw/at by using…

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

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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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: The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the…

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Q: Lucas is walking on a circular path modeled by the equation (x+6)² + (y-2)² = 36, and Neal is…

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Q: Given f''(x)= Find f ƒ(7) = = 1 25 sin(5x) and f'(0) = 5 and f(0) = -6.

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Q: What is the gradient of f(x, y) = x² - y4 at the point (5,2)? O 5i + 16j O -15i-16j O -6i + 13j O…

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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: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: S-ydx + xd - ydx + xdy, C: y² = 3x from (3,3) to (0,0) O 4 O O 2

A: Solution is given below:

Q: Verify Green's Theorem by evaluating both integrals for the given path. + ON ax C: rectangle with…

A: In this question, we want to verify the green's Theorem.

Q: V. (VXF) =

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Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: 12. Find an equation of the line tangent to the curve at the point corresponding to the given value…

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Q: 6. Find (0) for a solution (x) to the initial value problem (secx)dy = 2√y+Idx; (n) = 3 2 3

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Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

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Q: If N₂- My M equation = Q, where Q is a function of y only, then the differential M + Ny' = 0 has an…

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Q: Given: f(t) = -2/3/2 + 4e 31. 3r Evaluate: F(2) Use 2 decimal places.

A: Given:     ft=-2t3/2+4e3t Apply Laplace transform on both sides    Lft=L-2t3/2+4e3t Apply linear…

Q: ← + Ⓒ Screenshot (1909).png + New ▶ My Drive ▶ Co Computers Shared with me Recent Starred Trash…

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Q: o PROBLEM 9: Consider a circle of radius 1 centered at the origin and an angle of 8 radians, 0 <8<,…

A: answer is in next step. please give a like!!

Q: Determine whether following series convergent or divergent. Indicate the test you are using. If you…

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Q: 811. Given a geometric figure, one can ask for its centroid, which is - roughly speaking - the…

A: Given:  A unit semi circle.  We need to find the y co-ordinate of the centroid of the unit…

Q: Fill in the blank. (Enter your answer in terms of t.) [ L-1) 1 5²-2) =

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Q: Calculate the indicated Riemann sum S5, for the function f(x) = 26 - 3x². Partition [-4,6] into five…

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Q: Find curl curl (5z i + 6x j + 8y k) i 5 i i 6 (5z i + 6x j + 8y k). 8 = ( )i + ( )j + ( )k

A: Given that a vector 5z i^ + 6x j^ +8y k^ We have to find a curl of this given vector. Curl of a…