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Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Independent

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Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: Integrate the function f(x,y)=(2x+3y+9) when y from 2x to 1 and x from 0 to 1 is Select one: O a.…

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Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: Exercise 195 Further problems on Leibniz's theorem 5. Find an expression for y(4) if y =e'sin t.

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Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

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Q: What do you call the first derivative of the function of distance with respect to time? 25 Impulse…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: . Let f(x) = x3+ 6x2 - 15x – 10. a) Find the intervals of increase/decrease of the function. b) Find…

A: In order to find all the asked intervals or points appropriate conditions need to be applied.

Q: Given the polynomial function: h(x)= 3x³-7x²-22x+8 a) List all possible rational zeroes of h(x). b)…

A: According to the Rational Zero Theorem, the list of all possible rational zeroes of a polynomial is…

Q: = 1 and z = g(x, y) > 0. Determine gz 23 2/2, Suppose 3x2 + 2y² + z2 and gy 2/3' 2/2

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Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: polar integral to find the aren enclosed by the three-petalad rse 2) Use t r = Sin 3E

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Q: Use the Fundamental Theorem of Calculus to find the derivative of y = cost dt %3D [NOTE: Enter a…

A: Topic = Derivative

Q: Given csc 0 = -3, sketch the angle in standard position and find cos 0 and tan 9, where e terminates…

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Q: Answer the question in the space provided and in full details. Show ALL your steps and your…

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Q: What is the difference between "countably infinite" and "uncountably infinite"?

A: We have to write the difference

Q: Use the shape of the graph to name the function. Standard cubic function Constant function Identity…

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Q: Let f(x) = ln(x7) f'(x) = ƒ' (e²) =

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Q: Find the distance from the point (0, -1, -2) to the plane - 4y – 4z = 5.

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Q: Let f(x) = 4ln(4x) f(x) = £' (5)

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Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

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Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

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Q: 2 2Y と xe didy ーy

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Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the power series E(-19^x", \xl < 1 n-0 to find a power series for the function, centered at 0.…

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Q: Find the radius of convergence and interval of convergence of the series. (-1)"-1 – 1)"- . I

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Q: Use the power series E(-1yx", IxI < 1 to find a power series for the function, centered at 0. f(x) =…

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Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

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Q: 9. Sin 2X dx COS 2X

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Q: 1. 12a – 92² + 2 dæ

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Q: af Find and ?x af Əx af || - for the following function. dy f(x,y) = (x³ -1) (7y + 9)

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Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

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Q: 1. Evaluate (i) dy dx, 3

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Q: Find what value of c does S da = 1? 4 Answer:

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Q: Find all the second order partial derivatives of g(x,y) = x+y+ 3 sin (y) + 4y cos (x). a²g n

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Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

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Q: Find the vertices, the foci and asymptotes of the following hyperbola. 4x? – 49y? = 196 Vertices :…

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Q: 1. If f (x) = 5x – 6x2 + 4x - 2 find f'(x) and f'(2).

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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

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Q: A company selling widgets has found that the number of items sold z depends upon the price p at…

A: A company selling widgets has found that the number of items sold x depends upon the price p at…

Q: For the function f(x,y,z) = 1 + 2xy¹ − 325, find fx, fy, and f₂.

A: Given query is to find indicated partial derivative.

Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

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Q: 5. Find the amount due on P 40, 000 in 4 years and 4 moths a. 10 % % converted semi-annually b. 11%…

A: We have to find the final amount.

Q: Consider the function. f(x) = x? - 2 (a) Find the inverse function of f.

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Q: lim X-3 x +3 -3

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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Q: The decay rate of a radioactive substance, in millirems per year, is given by the function g(t) with…

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Q: An 1+- n

A: