Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x?y2 O 40 О 34 О-32 -28

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Q: Find dy/dx by implicit differentiation. xby5 = y = x dy/dx

A: Let's find. 

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A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) E...

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Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

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Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

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Q: Consider the function h : N → N given by h(n) = n + (-1)"+'. 1. Is h surjective? 2. Is h injective?

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Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: Find the zeros of the function and state the multiplicities. * (x) = [x-(2-/TT)][x-(2+/TT)]

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Q: Use sigma notation to write the Maclaurin series for the function. 7sin x 7( - 1)2* Σ =0 (24)! Σ 2+1...

A: NOTE: Refresh your page if you can't see any equations. . as we know, the power series of the sine f...

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Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...

Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on different...

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A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D ...

A: topic - implicit differentiation

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Q: Consider the series (In(2n + 1) –- In(2n – 1)). n=1 (a) Let an = In(2n + 1) - In(2n - 1). Does {a}1 ...

A: (a) To check: Whether an=ln(2n+1)-ln(2n-1) Solution: limn→∞ ln2n+1-ln2n-1=limn→∞ ln2n+12n-1         ...

Q: Find the area of the region bounded by the spiral r= 50 for 050ST. r= 50 2 '2 (5π,π)

A: Find your answer below 

Q: Inx lim メ→」* メー

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Q: Let the region R be the area enclosed by the function f(x) = x° + 2 and g(x) = 4x + 2. If the region...

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Q: 3 situations that could represent functions

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Q: Given F(2) = 4, F'(2) = 2, F(4) = 2, F'(4) = 7 and G(2) = 4, G' (2) = 1, G(4) = 1, G' (4) = 2, find ...

A: topic - functions and derivatives

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: JA- IF f(x) = |Vx- 4, g) x, Find fog(x) Then graph it & determine (domain ,rang Vi- 2cotx B- Granh t...

A: Find your answer below 

Q: Which one is correct, and which one is wrong? Give reasons for the answers. X-3 1 = lim - =- X-3 (a)...

A: Given: limx→3x-3x2-3

Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the val...

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Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

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Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the ...

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xnd...

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 15.32y = 2...

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Q: dentify the open intervals on which the function is increasing or decreasing. (Enter your answers us...

A: Topic = Functions

Q: Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

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Q: 2n (a) ) n + 2 n=1

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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: A spherical balloon is inflated so that its radius (r) increases at a rate of 1/3cm/sec. How fast is...

A: Vloume(V)=43πr3Differentiate w.r.t tdVdt=43π.3r2.drdt