8. Find the curvature of the plain curve y = e.

Q: ! Consider the nonhomogeneous DE: y" + y' - 6y = (12 – 16x)e*. A) Verify that y, = 4xe* is a…

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Q: Part 4 of 8 Since we want the portion of the sphere which is above this circle, we return to the…

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Q: Given the differential equation y''+4y'+3y=sin(5t),  y(0)=0,  y'(0)=1 Apply the Laplace Transform…

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Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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Q: how would you find y'' for y = tan(x)

A: Solution:  Given that y= tan(x) Now find y'':

Q: Find term 4, term 6 and term 9 given by the formula: n2 + 2n + 1 a = ;n2 1. n+2 Determine whether…

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Q: he cost C (in dollars) of producing x units of a product is given by the following. C = 2.4 x +…

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Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) = x…

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Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

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Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

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Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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Q: 2 sin 3at where a is any positive constant and s > a.

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Q: For the series below calculate find the number of terms n that must be added in order the indicated…

A: The solution is given below

Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

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Q: 2. Find the first and second derivatives of the following functions a) y = 6) y = e", c) y = In (sin…

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Q: If the marginal cost function is given by c'(x) = 3x + 4x+ 3, then a general expression for the…

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Q: To find f(x), let y = (x) and solve for x, y x - 4 Interchange x and y In the expression for X, Find…

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Q: Graph the curve and find its length. (Do this on paper. Your instructor may ask you to turn in this…

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Q: For the following function, make a table of slopes of secant lines and make a conjecture about the…

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Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step

Q: Given the piece-wise function x² – 2x + 5, Зx2 - 2х - 5 f(x): 0 2 Determine whether f is continuous…

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Q: Let g(x) 8 In(t) dt. Use the Fundamental Theorem of Calculus tc g'(x) =

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Q: Q.2 A= i-3j - 2k B = 31 +5j +7K Find the fallowing For the tuwo Vectors: %3D (choose Soaly). O BÁ…

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Q: 2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz) has a maximum or a…

A: Given problem:- (2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz)…

Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

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Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: Given the power series En (n - 1) A, xla + 2) n =1 Use the technique that we covered in this lesson…

A: In this question we shift the index so that the exponent of the power series is simplified .  Note :…

Q: When the admission price for a baseball game was $66 per ticket, 36,000 tickets were sold. When the…

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Q: Find the derivative of the function. y = 4t   t + 7 y' =

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Q: I3D Find the first partial derivatives of the following function. f(x,y)%3D3×Y

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Q: Find the gradient of the function at the given point. w = x tan(y + z),    (17, 3, −1) ∇w(17, 3,…

A: Given  w = x tan(y + z) We have to find the gradient of the function ∇w(17, 3, −1).

Q: Find the generals solution to the following 2nd order Non Homogeneous ODE: x?y" -3xy" +4y=2x?

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Q: 2.14 Show anx" + ... a12 + ao lim n an bn .. provided that b, # 0.

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Q: a) Determine if the geometric series below is convergent or not. Σ 10"-1 n =1 3n +1 The series is…

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Q: A triangle has variable size x.y.z subject to the constraint such that the perimeter is fixed to…

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Q: 2) Solve triangle ABC if a = 4,b=7,c 6. Round your answers to two decimal places.

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Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: Given a surface f(x,y) = -3x2 + (4)y2. Find the derivative in the direction of v = at the point (1,…

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Q: Evaluate the definite integrals using the graph of f (x) below. 6- 4- 2- 4 6. 10 12 -2- -4- -6 3 (a)…

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Q: Given the function f(2) = – 4x f(x + h) – f(x) Find the difference quotient f(r + h) – f(z) - Find…

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Q: Assignment 2: Find the Laplace transforms of the given functions. Direction: Copy and solve the…

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Q: Sketch the curve. a) r=-2 sin 0

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Q: Use the General Power Rule to find the derivative of the function. g(x) =    9 − 7x g'(x) =

A: We have to find g'(x) using the general power rule.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 5, –3) vw(7, 5, –3) =…

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Q: hction given as J(E) that IS a Simplify the expression f(x + h). f(r + h) = f(r + h) – f(x) Simplify…

A: Given : f(x)=-2x+1.

Q: Prove that (R x Q) N (Q × R) = Q x Q

A: This question can be solved using the concept of cartesian product of two sets and using the…

Q: < CO R # 3 At what points of R is the following function continuous? f(x,y) = /6x2 + 3y² %3D Select…

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Q: dy Find by implicit differentiation a. ペt=e4 b. Jxy=xy+| Sinx t 2 cos 2y=I %3D C-

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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