Differentiate the function. F(Y) : + 9y³) F'(y) =

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Q: A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of...

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Q: Given the differential equation y" - 5y' = 8 x² e -7x Find the Differential Operator for the Left an...

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Q: dx. (xVz - 5)2 dx.

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Q: 3.) Solve the following system using Gaussian elimination with scaled partial pivoting: -1 -2 1 -1 %...

A: The given system,1-12-21-14-12x1x2x3=-22-1

Q: Find Equatien of the tavgnt lin tu th cuve at tk giver pointe y= sec X ,

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the smalle...

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: A. Find an equation of the level surface of f(r, y, 2) = 4.x2 + 22 that passes through the point (1,...

A: Given:     f(x,y,z) = 4x2 + z2      Point: ( 1 , 2 , 3 )

Q: Solve the problem. Show figure or illustrations. 1. A gutter with trapezoidal cross section is to be...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)* Σ k=I V...

A: The given series,       ∑k=1∞(-1)k6k(k+1)

Q: Using a single integral, which method/s can be applied to determine the volume of solid generated by...

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Q: 57. f(x) = 5x² at x = 10

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg) ...

A: (1) We have to determine the correct formula for finding the derivative of the product of two functi...

Q: The concentration of a drug in the body decreases exponentially after a dosage is given. In one clin...

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Q: Find the second derivative in its simplified form. y=(7x^3 + 3)^6

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Q: 13. Find the value of t in the given interval at which the given curve is not smooth. r(t)=(5cost- c...

A: Given curve: r(t)=5cos t-cos 5t, 5sin t-sin 5tt interval: π4,3π4

Q: Evaluate the following. Round angles to the nearest tenth and all other values to the nearest hundre...

A: Given query is to eveluate the expression.

Q: You deposit $1200 in an account with 3% annual compound interest. Complete the following, assuming y...

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Q: A particular type of bacteria is known to have a continuous percent growth rate of 0.214/hour. If a ...

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Q: Show that the limit does not exist. 2 ху - 1 lim (х,у)—(1,1) У -1 First observe along the line x = 1...

A: Topic = Limits

Q: 4/ (11) lim f(x)= %3D X-0 (12) lim f(x)= -10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: Let A = f1) be the amount of money in an account, in dollars, t months after an initial investment o...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: 8. Find the length of the given curve over the indicated interval. r(t)= (r', 3 cos(t), 3t) [] 0, 2

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Q: 3. y = ( lat x 1

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Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x2 - 0.002...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A: We have to find out sum of series

Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: For the following, use the information provided to solve the problem. (7) Let w(x,y,z) = xy cos z, w...

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Q: Express the repeating decimal as a fraction. 2.717171...

A: We can find the answer as below.

Q: (-x+ 2, x 0 not, why?

A: The given function is: g(x)=-15x+2,  x&lt;0-2,            x=0x+2,         x&gt;0 From the definition...

Q: · y = sin(cos 3x) – sin x cos 3x

A: Given : Y = sin(cos3x) - sinx.cos3x Let's differentiate:  

Q: 8. 12. If y = then what is ? x+4 dx dy = 4x(x + 4) dy C. dx -4Vx + 8 dx dy dy = -4(x + 4) d. dx = 8V...

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year ...

A: Given:    Data Table is given

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: y=5, y=x+1, x=0   From the given curves the bounded region is as shown below;

Q: A SKETCH the graph and DETERMINE the domain and range of the following piecewise function. (2 - x? 1...

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Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Po e 0.00012097 A b...

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Q: Problem 1 At a price of $40 for a two-hour harbor tour, a water-tour company attracts 200 customers....

A: We have to find demand function , revenue function ,marginal revenue function and profit function.  

Q: ( 3x'y + ev )dx + ( x³ + xe - 2y)dy=D0

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Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

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Q: dx =(x²ye y + Jx2 +y2 dx = xdy when x=J3', y=I 3xy2) dy 3. 4.

A: Note :- this is multiple questions and according to our company guideline we can do maximum one ques...

Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x3 + Iny) dy = 0, when x = 0, y = e

A: "Since you have asked multiple question, we will solve the first question for you.If you have any sp...

Q: Show that the limit does not exist: (y² + x – 1)² - lim (x,y)→(1,0) (x – 1)2 + y4

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Q: 1. Given the vector-valued for R(t) = (2 sin 2t – 1)î + 2 cos 2tj + 3tk. (a) Find the length of the ...

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Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: Use the chain rule to find the derivative of 4 f(x) = 8V7x + 10x Type your answer without fractional...

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Q: (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and ind...

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Q: 3. The cost (in dollars) of producing x units of a certain commodity is C(x)=100+50x-0.02x (a) Find ...

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