# m Find Ay and f'(x)Ax. 2. For y f(x)=. x = -1.6, and Ax = 0.1 at x = -16 and Ax = 0.1 (Do not round until the final answer. Then round to four decimal places as needed.) 24 4 %23 &

Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: Follow the steps to solve the initial value problem: 2ty – 2y = t5, y(1) = -1. a. Identify the integ...

A: Rewrite the differential equation into linear differential equation and then solve it.

Q: 11. If f(x) = x² + x + 1 and g(x) = x – 3, find the following. (a) f+g (b) f – g (c) fog (d) gof (e)...

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Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(6,-5) cose = O (5V6...

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Q: 6 1/6 + 6

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Q: The interval of convergence of the series CO (x - 4)" 2n n +4 n=0 is: (2, 6]. (2,6). [2, 6). A) B) C...

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Q: Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞...

A: The given function is: g(x)=3xx-6&limx→∞g(x)=3

Q: 4x2 + 4y? + 122 = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+...

A: We have to find the normal line through P and tangent plane through P.

Q: The half-life of cesium-137 is 30 years. Suppose we have a 190 mg sample. (a) Find the mass (in mg) ...

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Q: he plane y=2 inersets the elliplic pd araboloi 3=4X +y parmbola. in a Find the slope of the tangent ...

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Q: sin(ln x) r→0+ In(sin x) Use Squeeze Theorem to evaluate lim

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Q: What are the critical points of (x+2)(x+7)>0

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Q: Express the area of the surface obtained by rotating the curve y=in cse(2x) between x= and x= about ...

A: surface area about y axis S=∫ab2πxds ....(1) where  ds=1+(dydx)2dx

Q: 2n n+1 lim n A) e

A: Given,            limn→∞n+1n2n

Q: suppose a baby food company has determined that its total revenue R for its food is given by R = -x...

A: Given:       R = - x3 + 36x2 + 540x 

Q: 1. a. Write the Fourier series for a rectified wave for which half is defined by f(t) = sin(t),0 <t ...

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Q: Using Figure 1, complete the following function. (-8, - 6)* Figure 2 cose 4/5 -3/5 3/5 -4/5

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Q: b. Find the particle's displacement for Ost36. c. Find the total distance traveled by the particle f...

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Q: The solution to the differential equation (5x² – 3)dy + xy² dx = 0 - %3D

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Q: Find the distance between the points (distance formula) 3.(-1, 1/2), (3/4, -4) 4.(a, b), (c, 0)

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Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: 2. 20 1 10 2 4 5 6. -1 - 10 a (h) When is the particle speeding up? (Enter your answer using interva...

A: Question : when the particle is speeding up ?  When the particle is slowing down ?

Q: The plane y=2 intersects the elliptic paraboloid ē =4x ty parabobo. Fied the slope ot the fangenh to...

A: Given :     y = 2      z = 4x2 + y2

Q: A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 people and ...

A: Given: - A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 pe...

Q: State whether the sequence, whose nth terms are indicated, is bounded and whether it is eventually m...

A: let  an=n9n

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

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Q: Given u(x,t)=(1/t)e^(x^2\4t), compute: uxx

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Q: im(xx)!(0;0) f(x; y) = 1.|

A: this statement is false , and mathmatical reasoning and example is in next step

Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: ind the derivative of the following functions in its simplest form. Show all of your work. Use the f...

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Q: Find the value of c for which the area enclosed by the curves y = c - x and y = x - c is equal to 10...

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Q: A certain substitution gives: So cot" x csc* x dx =-u² - - u*du %3D What is n? A) 7. B) 5. C) 4. D) ...

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Q: (d) VT tanr - 2 V lim /4 VT x(4x – 7) Hint: divide both parts of the fraction by VT x and represent ...

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Q: 6. In the peer review, you were asked to come up with an explicit formula for f(K„). That is, how ma...

A: To destroy all Hamilton cycle it is enough to make degree of any vertex one.   Hamilton cycle means ...

Q: 5 on the interval [-4,4] x3 Find the average rate of change of g(x) = 3x2 +

A: Given problem:-

Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: Determine whether the given series is absolutely convergent, conditionally convergent or divergent. ...

A: The given series,       ∑n=1∞-1nn+1n2

Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as h...

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x &lt; 2x  Given: x•2x = 360  So, x...

Q: Problem 1: Answer each of the following questions. (a) Give the candidate general solution using the...

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Q: a) Using an operator , solve the following differential equations d²y dy 20y = 0 dx dx2

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Q: Suppose that (ax + b) cos x dx = 12. Then the value of a equals: A) 6. B) -6. C) 6n. D) -6T. E) None...

A: Given: - The integral is, ∫0π(ax+b)cosxdx=12 To find: - The value of a.

Q: 7х - 18 x2 +1 sin x2 – 3x Find the natural domain for f(x) = + 2x + х — 1

A: Natural domain defined

Q: 1 1 Consider the series and n=1 Vnº + 6n – 1 n3/2 n=1 1 1 Write an inequality comparing for n > 1. t...

A: Explanation of the answer is as follows

Q: 2e* Evaluate: Jo 2ex-1 dx. A) B) 1 C) D) 1. E) The integral diverges. O A)

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Q: Using Figure 1, complete the following function. (-8, - 6)* Figure 2 sece = -5/4 -5/3 5/4 5/3

A: Given query is to find the indicated angle.

Q: Calculate the accumulated amount of end-of-month payments of $8,500 made at 4.21% compounded quarter...

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Q: Use the method of your choice to determine the probability below. Three rainy days in a row when the...

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Q: Answer this question by showing all work and formulas used to solve both derivative functions and si...

A: Given,           f'x=32x3+126x23-4x2+2x3+1323-4x-4           g'x=4x-1-12+4x+1-12x-1-32To find : Simp...

Q: Let q > 0. The integral 1 %3D (4x + 3)5 8.

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