Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 3y², Po(4, - 2), A= 4i + 3j (DAf) (4, - 2) =

Q: For a given function f, what does f' represent? Choose the correct answer below. O A. f is the avera...

A: Solution: Given data, f is a function f' represents??  

Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: piane :x = 3 - t, 2:x = 8+ 2 s, y y = 5+ 3t, = -6- 4s, z = 5+s z = -1-4t %3D

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Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having...

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Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: Pls help ASAP. Pls show all work and calculations

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Q: aie of sin(4x)+8 cos(x)+2x2 cos(4x)+8x sin(4x)+.

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Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: Use polar coordinates to rewrite the double integral int _0^4 int _0^{sqrt{4-(x-2)^2}}  (x+y)/(x^2+y...

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Q: 1. y = In (12x)

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

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Q: (In x)²dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: 1 )dx 4.

A: We will use substitution method to solve question 4.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

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Q: 10. Find. the Valume.f. the Salid.baundeel.by. the.cylinder. X=y and. the.planes.Zz. and.x+2=.. Ans....

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Q: The monthly water charge for a farmer based on his consumption can be calculated using this function...

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Q: X -5 -4 -3 -2 -1 2 -1 2.

A: Graph

Q: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number ...

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Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3 a...

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute (x,y)=(3,0)2(0)y'e3+02e3=3y'+2(3)0=3y'...

Q: 1. Find the volume.fthe Solid..endlosed by. the pavabaloids 2 and.. z=18-X. 2 Za x-y Ans..81...

A: Given

Q: Convert en extay?) JA O ver the region Q4. polar form and e to e Valuate let y= 7sino dA = rdrdo How...

A: ∫02π∫1e 2ln(r)(dr)(dθ) here we apply the ∫u*vdx rule ∫u*vdx = u∫vdx - ∫du/dx∫vdxdx so here 2lnr u = ...

Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

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Q: O ) Let -2 М- -16 Find formulas for the entries of M", where n is a positive integer. M" =

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Q: f(a + h)-f(a) a. Use the definition man = lim to find the slope of the line tangent to the graph of ...

A: The given definition of the slope of the tangent line of a graph at the point P is: mtan=limh→0f(a+h...

Q: Find the solution of the initial value problem dy/dx=27e^6x_3y ,y(0)=0

A: This is a problem related to differential equation. Based on the integrating factor formula we will ...

Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test used and th...

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Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: S cot5xdx ха

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Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the ...

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Q: 1. Let f(x) = 1– x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be ...

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Q: of the initial value problem gcナー Please fill in a question quickly within a quarter of

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Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

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Q: S csc4 5x cot 5æ dæ

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Q: 1 Scos 3x sin* 3x dx 1.

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Q: 9. (2y? + 2y + 4x²) dx + (2xy + x) dy = 0; when x = -1 and y = 0

A: As per our guidelines we can help you in solving only first problem. Rest of the problems you have t...

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: 11. If x is a right endpoint and f'(x) is positive on the interval to the left of x, then f(x) has a...

A: Given

Q: 2n + 1 n -1 n tan n=1

A: Find the limit of the given equation at infinity.

Q: Consider the function below. x2 f(x) = x2 25

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Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...