f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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A: we have to find the function F(x) .

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A: Given :cosθ=513

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C None of the choices cos" (2x)…

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Q: Evaluate: 0 tan-¹ (0) de Ô arctan(9)–0 2 arctang+ -arctan0+C 0—arctan(0) +C

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A: We need to choose correct option.

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Q: z = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find, when s = 2 and t = -1.

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Q: 2x Given: z = xlny - = + y sinh√x O O O - - 2x+11n4 y³ - 2x+1 In²2 y3 2x+1 in ²2 y³ 1 2x+2 In2 y3…

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Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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Q: Consider the following. lim (1+1)* X-00 (a) Describe the type of indeterminate form (if any) that is…

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Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 96. f(x) = √x (Use…

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Q: 10 20 30 (a) Draw the tangent line at each labeled point. y 5 4 3 2 1 O y st 5 4 3 2 1 10 20 30 10…

A: Please see the below picture for detailed solution.

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A: Given that   f(x,y)= z = x2-2xy+y2     So,  this can be rearrange as…

Q: f(x, y) = ln (2x) In (3y) + x - y - xy +3, then fxy(2, 2) is equal to Select one: 0 -2 None of them…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²². Find fx and fy. Evaluate fxxy(4,-1).

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Q: The admission fee at an amusement park is $1.50 people entered the park, and the admission fees…

A: Given: The admission fee at an amusement prk is $1.50 for children and $4 for adults.On centrain…

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A: Given :fx,y=lnx2-y-x+y+1

Q: The domain of f(r. y) = Select one True False 19-y V is the upper half of the disc centered at…

A: fx,y=9-x2-y2y

Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: Consider the following. lim x3/x x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: Given problem:-

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Q: The limit exists and is equal to 0. Select one: O True O False lim (x,y) →(0,0) 36x²+25y² 6x+5y

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Q: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: Approximate the value of 22.5 O4 + 4 In(2) O4+2 In(2) O 6 O 4 +0.5 In(4)

A: The objective of the question is determine the approximate value of the given value.

Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: f''(x)=8x−3f′′(x)=8x-3 and f'(−3)=−6f′(-3)=-6 and f(−3)=−3f(-3)=-3.

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Q: Let Find fy. f(x, y) = x²y + √√x + 5y

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Q: The partial derivative of the function f(x, y) = 4x² - 3xy + 5y - e3x+8y with respect to y is:…

A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.

Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

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Q: f(x, y) = 6√x - y'e a) b) -3xy + Find f and fy. Evaluate fazy (4,-1).

A: Given f(x,y) =6x -y2 e-3xy+3y

Q: Find (²-1) ln(x)dx

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Q: 3. You are in a boat 2 miles from the nearest point on the coast. You are to go to point 2. → down…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: b) Evaluate lim X-8 In(5x) In(2x-4)

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos² (2x)…

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Q: Use Linear Approximation to estimate Af = f (7.01) - f(7) for f(x) = x². (Use decimal notation. Give…

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Q: or the function f(x)=sin(x), write Newton's formula as xn+1=F(xn)=xn−[f(xn)f'(xn)] for solving…

A: The given function is f(x)=sin(x) We need to solve for, f(x)=0 using Newton's formula:…