Find the derivative of the function. f(x) = V3 - 6x2 %3D f'(x) = || %3D

Q: Given the differential equation y" - 4y' + 13y = 8 e2* cos(3x) Determine the General Particular Solu...

A: Given differential equation, y''-4y'+13y=8e2xcos(3x)  

Q: Using variable separable technique, find the general solution of dy/dx = (1+y^2)/(1+x^2

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Q: 3 dx (x2–1)2

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Q: Find the following limit value. Show all work and proper limit notation. 9х + бх2 — 8х5 lim 3x2 + 8x...

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Q: find the power series represen tation of the following function given be low and determ in e the rad...

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Q: Find the extrema of the given function f(x, y) = 6cos(x² – y) subject to x? + y = 1. (Use symbolic n...

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Q: Determine the 8th term of the Taylor series expansion of f (x): %3D 1+r at a = 1 (-1) 256 (z-1)* 128...

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Q: Find points P and Q on the parabola y = 3 – x so that the triangle ABC formed by the x-axis and the ...

A: This question is related to triangles and straight lines, we will solve it using given information. 

Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equ...

A: Given query is to find the time when to concentration will be maximum.

Q: Suppose that we are baking a bread in an oven. Let T (t) denote the temperature in degrees Fahrenhei...

A: Let's find. 

Q: Consider the following function. r(x)=3−5/3 (x)   Step 2 of 2 :  Find two points on the line to g...

A: Given:      r(x) = 3-53xThis is a linear equation. Any two point of this linear equation gives a uni...

Q: Total cost is C = 9000 + 4.55q and total revenue is R = 5.30q, both in dollars, where q represents t...

A: Given query is to find the the production level required for the profit.

Q: Hw Find and dw we cosh' (cot( 4- Ws

A: Since you are asking multiple questions. We are answering only the first question as per our guideli...

Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

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Q: Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as...

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Q: please DO NOT COPY from other chegg posts or else it will be reported as SPAM. You are ...

A: The main idea of the algorithm is that whatever distance we go right from our initialposition, we co...

Q: f (x) = v2 – x at x = 1

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Q: Note : m=0 2. 4-x a. Let f-1(x) = .Find f(x). т+4x b. If g(x) = 3 + v2x – m and f(x) – 1 = x² , then...

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Q: cot dv cot (v +9) 1-cose

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Q: Problem 3.1 Prove that if x is a positive real number, then LV[]] = [V]

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Q: 000 P(x, Y) = K/+y where K is some constant. Both the density function and the shape of the osrsa, 0...

A: Need to find mass of the lamina. Given information: The density function is ρxy=κx2+y2 and limits ar...

Q: Match the graph of the function on the right with the graph of its derivative.

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Q: Identify the point (xo, yo) on the line 7x – 12y = 10 that is closest to the origin. (Give your answ...

A: Identify the point (x0,y0) on the line 7x-12y=10 that is closet to the origin. 

Q: 1 16k2 + 8k – 3 k=1 ||

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Q: Given f (x) = ? - +, then f(x) is: 9. %3D Of(x) = - 15 | x4 Of(x) = - - – 4 15 x² 2. x4 Of (x) = -9....

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Q: Determine the power series expansion (in sigma notation) of the function f (x) = sin a at a = 0 Σ (-...

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Q: Use the difference an+1 - an to show that the sequence {n – 11"}1 In=1 is strictly increasing or str...

A: {n-11n} an+1 = (n+1) - 11(n+1) an = n - 11n an+1 - an = (n+1) - 11(n+1) -(n - 11n) an+1 - an = 1 + 1...

Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

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Q: The boundary of a lamina consists of the semicircles y = V1 - x² and y = V9 - x² together with the p...

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Q: 4. p² –1) cos[cosh (In r)]dr let u= du=

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Q: EX g. Evalnab..f.x.d. wha. R.ia. the.regizn.in.the frirg t.. quadrant..bounded..Xy=16. Soluedidy

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Q: y" - 9y' = 0 Determine the Characteristic Equation for the differential equation. (A R² – 8 = 0 B R2...

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Q: 5. Figure 1.36 shows Q = 50(1.2), Q = 50(0.6)', Q = 50(0.8)', and Q = 50(1.4)'. Match each formula t...

A: Topic:- calculus   

Q: Find the following limit value. Show all work and proper limit notation. ·8e-7x х—- оо 4е9х — бе-7х ...

A: Given, Evaluate limx→∞ 6e9x-8e-7x+54e9x-6e-7x-2

Q: Consider the function on the interval (0, 2x). f(z) = 5 + cos(x) (a) Find the open intervals on whic...

A: Here, the given function is: f(x)=π2+cos (x)⇒f'(x)=-sin x

Q: [xsechtx'dx

A: Topic:- integration 

Q: find the x- and y-interceptsofthe rational function. (if an answer does not exist, enter DNE.) t(x)...

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Q: Use Green's Theorem to evaluate | F. dř, where F = (Va + 4y, 2x + 9) C consists of the arc of the cu...

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Q: 1. The probabilities that a researcher surveyed 1, 2, 3 and 4 college graduates in the households in...

A: Given that the probability of a researcher survey 1 , 2 , 3 , 4  college graduates in the household ...

Q: a. Graph f(x) = 0, x= 3. b. Find lim f(x) and lim f(x). x-3 x-3+ c. Does lim f(x) exist? If so, what...

A: We have find graph and check limit exists yes or not, if exists the we have to find limit

Q: around the -axis.

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Q: haracteristic. 40 80 160 (A) y 2.2 2.2 2.2 2.2 -8 -4 8. (B) y 51 62 73 95 -4 -3 (C) y 18 4.5 -2.2 3 ...

A: Topic:- function

Q: Use fundamental identities to simplify. 4 - 4 cos? tan? x + 7 sin? x 04+3 sin² x 04+ 3 cos x O3 - 4 ...

A: topic - trigonometric equations

Q: (prore) using sequences とす、

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Q: The slope of the tangent line to the differentiable function f at the point (2, f(2)) is [(2+Ax)-f(2...

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Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 4). Yo...

A: The velocity vectors v1(t)→ and v2(u)→ are determined from the given curves r1(t)→ and r2(u)→ by usi...

Q: ;) I P(2,-2小),Q(3,-1,2) Q3) Q(3,-,2) and R( 3,-1,1) a) find the area of the triangle determined by t...

A: Given:   P(2, -2, 1) Q(3, -1, 1) R(3, -1, 1)

Q: Solve using horizantal Slide EX Evaluat.f.x.d. whae..is.the..sm.in.the fring .. .quadrant..baunded.l...

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Q: Total cost is C = 9000 + 4.55q and total revenue is R = 5.30q, both in dollars, where q represents t...

A: Since you have asked multiple part question, we will solve the first 3 part question for you as per ...