Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

Q: 0,-T <x<0 tsen x, 0sx < T 9. f(x) =

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Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: we have to find the minimum and maximum value of the function on the given interval by comparing…

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

A:

Q: 9) Where is the function ht) = (t+ 5) differentiable?

A: Given         h(t)= t+51/3

Q: B) Findfor the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: Find for implicit function dx x² sin y + 3y3 = e5æ + 5

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Q: Find the derivative of the function. f(x) = (x³ + s ]Inx O a. x*(1+Inx)+5 O b. x'(1+31nx)+ 5 O c…

A: We have to check

Q: Find a point c satisfying thr MVT for the given function and interval  y=x/x+2 [1,4]

A: Given query is to find the value of c.

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval: y = ex − x,…

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Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

A: Please see the answer below

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: (1) Where on the line r = ay does the function f(x, y) = (x – a)² + (y – 2)2 attain its smallest…

A: The line whose equation is of the form y=mx is passes through the origin and slope of the line is m.

Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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Q: The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show…

A: The given function is f(x, y)=y2-ysinx-x4.

Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: What is the local linearization of f(x) = near x = 1? NOTE: Enter your formula exactly, or round…

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Q: Please identify the critical point,z, where the first derivative is equal to zero for the following…

A: Critical point

Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

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Q: Find the critical points of the function f(z) = 3z - 9z.

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Q: Use the second derivative test to find the local extrema of the function f(x, y) = x+ 2xy – 6x –…

A: Step 1: Find the partial derivativesfx and fy and put both equal to zero and we getcritical points…

Q: Find the critical point of the function f(x, y) = 1 - x – 6x² – 8y + 3y?

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Q: Find the lineari zation L (x) of the fuction at a. f) = x'+2x

A: In the given question we have to find linearization of function.

Q: The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show…

A: We have to find which variable should we choose so that we differentiate as quickely as possible.

Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

Q: Find the critical point of the function f(x, y) = 8 – 4x + 7x² – 6y – y? - -

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Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: What is local linear approximation for f(x)= e*" -6* near x = 0? Note: Must show answer is equal to…

A: Hey, since there are multiple subpart posted, we will answer the first question. If you want any…

Q: ( 2x2 , xs1 Dose f(x) = continuous at x =1?why? %3D &+ 1 , x >1

A: Explanation of the solution is given below....

Q: given the function f(x) = (x+4)^2 + (y-2)^2 (i)find the critical points (ii)using the second…

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Q: Locate and classify all the critical points of the function.(If an answer does not exist, enter…

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Q: Find all critical points for the function f(xy)=x* +y* – 16-x-y.

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Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h =…

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139…

Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

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Q: Find the absolute maximum and minimum values of the function y = 10x(2 – In x) on t interval (0,…

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Q: Find F'(x). *sin(x) 8Vt dt F(x) = F'(x) =

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Q: If f(x) = S dt for x 2 1, find f'(2). 1+lnt

A: Simply use the formula for the derivative of an antiderivative.

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a…

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Q: use implicit differentiation to find ay for x°-xy+y°=4.

A: Use chain rule to differentiate the middle term.

Q: Find dy by dx when  f(x) =2x²-x+5÷3x+2

A: The derivative of a function gives the rate of change of a function when an infinitesimal change is…

Q: 3. Find a linear approximation to the function at the point x = 3. y = f(x) = x²e + 8x

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Q: Obtain the MSE of f(x) = ex.

A: MSE = Maclaurin Series Expansion f(x)=ex formula f(x)=∑k=0∞f(k)(0)k!xk

Q: Find the length of the curve between the specified interval: 3/2 a. y = x7² from x = 1 to x = 4 b. y…

A: (a) Given curve: y=x32 Interval x=1 to x=4 The length of the curve is given by the formula:…

Q: Find the extreme values of the function f at the region of x2 + y² = 4 where: F (x, y) =x² + 2y²-2y…

A: The extrema of the function can be calculated by calculating the derivatives of the function. First…

Q: 2. Determine the critical points of the function: R(y) : y2 – 6y -

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Q: y is a function of  x and the slope of the function is zero at x=10 then to determine that y reaches…

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Q: Find the minimum and maximum of the function y = z – 1280z on [-5, 5] by comparing values at the…

A: The given function is

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) 2) y = Inxn cosh 5x ,3) xsin14y = y tan-4x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Find the maximum slope on the graph of f(x, y) = 2 sin(ry) at the point P(4, 0).

A: The given question can be solved as shown in step2.