Fihd thẻ čentroid of the region bounded by the graphs of the functions 1 y = 4 sin(x), y = and x = and touching the origin. 2' x, - 9. The centroid is at (¤, ỹ) where

Q: Distinguish Between Partial Derivative and Ordinary Derivative ?

A: ## Distinguish  Between Partial Derivative and Ordinary Derivative....

Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 7x - 7xy - 3y...

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Q: O Reverre the order of integration and do not ewaluate dy dx Show the region.

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Q: Part a For which vale ut is the following always bue sint+ ) Select the comet antwe

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Q: The correct value of -dr is equal to 3-x O A. О В. - 23 O C. Since the integral converges to 2/3, no...

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Q: Let f(x) = 6x²(x – 1) + 10. %3D Find the critical points c that correspond to local minima.

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j - k par...

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Q: The distance traveled by a rocket (in feet) after launch is given by the function f (t) = -16t? + 1,...

A: Given query is to find the velocity after 15 second.

Q: 16. Find the values of r so that the function y= e™ satisfies the equation y" – 4y' – 21y = 0. A) -2...

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Q: The interval of convergence of the power series (-1)*(x+2)" (n+1)422 OA -651s2. OB. None of the choi...

A: The given series is: ∑n=0∞(-1)n(x+2)n(n+1)422n...(1) Let, an=(-1)n(x+2)n(n+1)422n, n≥0

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no ...

A: This question can be solved by converting the system of equation in matrix form.

Q: (a) lim f(x) X-2" (b) lim f (x) (c) lim f (x)

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Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

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Q: When two pure notes that are close in frequency are played together, their sounds interfere to produ...

A: Given data÷ f1t=cos17t f2t=cos19t ft=f1t+f2t

Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b) ...

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the...

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Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.

Q: (a) Find p3(x), the third order Taylor polynomial of f(x) = Vĩ centered at x = 1. %3D (b) Use p3(x) ...

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Q: Use D-operator methods to solve (1) (0²+16)y= tsint Cii) (D²+D+5)y =t coszt %3D

A: Given : i) (D2+16)y=tsint ii) (D2+D+5)y=tcos2t.

Q: 7- 2t 2. 1.

A: This is a problem of differentiation. Based on the general formual we will answer the question.

Q: cos(0-4)–1 lim - (а) 20 -8 (10х-2)* lim (b) X0.2 10х -2

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Q: a Let A = b be 2 x 2 matrix such that d 3A' +2 Find A. 1

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Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9 meter...

A: Let's find. 

Q: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term? ...

A: The geometric sequence,5, 152, 454, 1358,........

Q: A particle moves with position function s = t4 – 4t3 20t2 + 20t, t > 0 - (a) At what time does the p...

A: Given problem:- A particle moves with position function   S=t4 -4t³ - 20t² + 20t, t≥ 0   (a) At what...

Q: x 9x x-3 f(x)=9x/x-3 -100000       -10000       -1000       1000       10000       100000         b...

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Q: 1) у' +—у y = x/y

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Q: (d) Assume that a particular Android phone has a value, A(t), that is always $100 less than the iPho...

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Q: Find the magnitude of v. V = 4i %3D ||v|| =

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 10 1+ 11 10 ...

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Q: (b) Sketch the vector with its initial point at the origin. Consider the following graph. 6 5- (4, 4...

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A: To find out the terminal point. 

Q: 5. f(x) = [(x + 5)5 – 1]* %3D

A: Questiopn 5,Given,           fx=x+55-14To find : The derivative using the chain rule.

Q: A heguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 800 yd of...

A: Question- A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, usi...

Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to (2,-1,...

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Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Here we have to determine whether the given sequence is divergent or convergent.

Q: 183. The output of the show frame-relay pvc command shows "PVC STATUS = INACTIVE". What does this me...

A: The command PVC STATUS provides the status of the PVC.

Q: 1. fx Inx dx

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Q: Suppose the Maclaurin series f(x) is f(x) = >) 2 n=0 Find the Maclaurin series for the following.

A: To solve the following problem

Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx  

Q: (а) lim!-cos 4x x0 5-x (b) lim Vx-1-/2x-6 (c) 3t² -t- 2 lim ² -1

A: Let f(x) and g(x) be two functions such that,  limx→af(x)f(x)= L and f(a)g(a)=00 then by L'Hospital ...

Q: Log(x^2 +3) = log(x+6)

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Q: Home wurk f ind Jw du f ur the following ノ au d fuuctivus : + e -1 X +y 2- X . tan ニ メャツ w : csc ( X...

A: Use partial derivative

Q: 20. Find y" in the parametric equations x = cos 0, y = 2 sin“ 0. A) sec' Otan 0 B) sec 0 C) sin Osec...

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Q: 17. log (x² + 3) - log(x + 6)

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Q: 24 Σ 28. 3"-1

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: ds = - 2-3 cos t dt Find the function s(t) satisfying and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 ...

A: Given problem:- Find the function s(t) satisfying (ds)/(dt) = - 2 - 3cos t and s(0) = 6