Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy - 2x – 2y – x² – y².

Q: 1 Σ 16п2 — 8n — 3 n=1 n=]

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Q: os made. te the cost function for this company. C(z) = te the revenue function for this company. R(r...

A: Given query is to find the cost function, revenue function and profit function.

Q: find the go th deriva yive of Y= (08 3x

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Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

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Q: Volume of a cylinder: V = ar²h Area of the sides: A = 2arh Area of the top/bottom: A = Tr?

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Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Question #3 a) Find the x-position of all critical points for f(x)= 4x' – 15x² – 18x +1 (Show work, ...

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Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: 13. Determine algebraically whether g(x)= is an even function, an odd function, or neither.

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Q: ermine the slope of the normal to f(x) = / 2r' – 18 at x = 3? %3D

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Q: Evalute Hhe following itegrals. 2. 2X-ツ e. dydx 2) dxdy 1.

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Q: ydy +4y+11

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = 2...

A: A point x= k is a critical point of a function g(x) if g'(k) =0 or g'(k) is not  defined.

Q: (x) = 2x - 3           x = 5 Compute f -1 (x

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Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

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Q: goneral the different equatón of (i'ela_ y) de o xydy .o find the so lution of +

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Q: Consider the function f(r) 7x + 4z . For this function there are four important open intervals: (-00...

A: critical numbers are those such that value of the derivative of the function is zero.

Q: Find each limit. Use - o or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C)...

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Q: ydy y +4y+11

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Q: dy 3. 1+ sin 4y

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Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

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Q: fine the derivative flx) = (x" t 5v?_q) %3D

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Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height a...

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Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

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Q: |1 0 A=[2 21 1 13 31 |A|=4 O |A|=1 O |Al=21 O |A|=0 O 900

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Q: 1 ; -54 (а) Evaluate lim f (x) if it exists. State your reason(s). x→4 (b) Prove that f (x) is not c...

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Q: An+1 n the ratio- -to determine if the sequence An 5n + 5 m is strictly increasing or strictly decre...

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. k(k + 2)

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Q: Solve for x. Record solution using boxes below. Then answer graph questions. (Given solution in deci...

A: Inequality problem

Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy ...

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Q: O Find the largest value of A such that the function f(x) = x + 1x? - 4x + 6 is decreasing for all x...

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Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = x + 6x - 7

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. X = Vt, y...

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: Draw a reference triangle and find the trig ratio for the angle (if possible) without a calculator.

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Q: Use linear approximation, i.e. the tangent line, to approximate v64.2 as follows: Let f(x) = Va. The...

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Q: ミ 42~x2 =ト 3ト %3D

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Q: a comma-separated list of equations.) Find all horizontal and vertical asymptotes (if any). (If an a...

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Q: Determine whether the series converges, and if so find its sum. f the series diverges, indicate that...

A: Topic:- sequence and series

Q: X-2 ppropriate. Felect the correct choice below and fill in any answer boxes in your choice. DA. lim...

A: Given query is to find indicated limit from the graph.

Q: Find and equation of a) the tangent plane and b) the normal line to the given surface at the specifi...

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Q: Counting technique: Seven children are to be selected from a group of nine children. a) What is the ...

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Q: J-x if x<1 (x+1 _if x21 7. If f is the piecewise function f(x)=- (a) Evaluate f(-2) and f(2). (b) Sk...

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Q: f(x) = 8 +3/x f'(x) =D f'(1)=D (Simplify your answer. Type an exact answer, using radicals as needed...

A: f(x)= 8+√3x  Find f'(x) , f'(1), f'(2) and f'(3) 

Q: Y= (5x1)"(4x²-) こト

A: Given that the relation between x and y.. And use the product rule of differentiation  and then simp...

Q: Solve using integrable combination technique only: (x^2y^3−(6+1)y)dx+(x^3y^2+(9+1)x)dy=0

A: Solve using integrable combination technique only: (x^2y^3−(6+1)y)dx+(x^3y^2+(9+1)x)dy=0

Q: 1. = fVx*- Jーxa 4 %3D - 2. (x? +1)²(x+ 2)dx 2х-4 dx 3. V x-4x+1

A: 1. ∫x2-x4dx