d²y #3. Find if x' + y' = 9 dx? |(-1,2)

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A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: SEATWORK Solve two problems; one problem from #1 and one problem from #2. Submit clear and upright…

A: Since you have posted multiple questions i can do first question with first three subparts as per…

Q: a²f If f(x, y) = xey + 8xy, then , is given by: O + 8 O 4xe4y + 8 ○ 웃+8 O 4e4y + 8 O None of these…

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Q: Let v = (5,1,-2) and w =(4,-4,3). Calculate v w.

A: Given,v=5i+j-2kw=4i-4j+3kWe know that if (a1i+b1j+c1k).(…

Q: cos x 3. y = tan (3x)cot (3x) 4. y = 1+sin x 5. y = arctan (3x5) 6. y = x arcsin x+ V1- x²

A: Note:- As per your demand we solve question 3,4,6 for you   Given problems:- 3.  y=tan(3x) cot(3x)…

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Q: A toy manufacturer's cost for producing q units of a game is given by C(q) = 1420 + 3.6q + U.U00 the…

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Q: Find the derivative of the following functions from first principles. (i) x? (ii) e (iii) log (x +…

A: derivative

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Q: 22. Which of the following statements about the functions y = f(x) and y f(x) is true? A. If the…

A: Here, to find the correct statement for the functions y=f(x),y=1f(x)

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A: For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then…

Q: Sx*e-2x dx A -2x (2x +4x3 + 6x2 + 6x + 3) + C e-2r (2x* + 4x3 + 6x2 + 6x + 3) + C В - 4 x*e-2x -…

A: Please see the answer below.

Q: Q4. The following set of data represents the number of families (n) moving into a new town as a…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: = 4x +C

A: Topic = Integraton

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Q: ) frcos () ->]dx +: - y dx + xdy = 0 %3D

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Q: -1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes.…

A: Follow the procedure given below.

Q: R Examine the discontinuity for each of the following functions. If the discontinuity it removable,…

A: The objective of the question is examined the continuity and removal discontinuous.

Q: 5. Let f and g be the functions R →R given by 5- 3z if z<1 5-2r - if z1 f(z) = and g(z) - 6-2.…

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Q: dy J 1+y+1

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Q: The demand function for a particular pair of sunglasses is p = 135 – 0.095q. (a) If the sunglasses…

A: The given demand function for a particular pair of sunglasses is: p=135-0.095q...(1) where q is the…

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Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

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Q: 5. (x²y + sin æ) dy, Cis the arc of the parabola y = r² from (0, 0) to (7, n²)

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Q: dy Use implicit differentiation to determine given the equation xy + e = sin(y). dx dy dx ||

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Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: 4. Solve the matrix equation for x and y. 2 1 5 3 -2 -2 1 x 9 5 у %3D 1 -3

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Q: A culture initially has 700 number of bacteria. At 1=5 hour the number of bacteria is measured to be…

A: The differential equation that describes the given model can be solved by using the variable…

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A: Let the points be: O(0,0),A(4,3),B(7,3) &amp; C(10,7)

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Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: Sove the following continnity queshans below Let f(x.y) = 2xy? f (xiy) = (0,0) nd Let glan)= f fary)…

A: here we use the simultaneous limit definition and arbitrary path choosing that passes through the…

Q: Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of…

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