Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

Q: 12x (4x³ – 3)° dx (4 - 3)° +c 6(4x – 3)° + C 6 (4x° – 3)° + C (4x° – 3)° +C 4x° (x* – 3x)° + C

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Q: Considering only the values of 0 for which csc 0(1+ cos 0)(1 – cos 0) is defined, which of the follo...

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)...

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Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a) f(...

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

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Q: 6. Solve the inequality f(r) = 3(x- 5)(x+ 2)2 > 0 first algebraically your answer using the graph in...

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Q: Determine the maximum and minimum points of the given functions below. f(x) = 3x4 – 16x3 + 24x2

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Q: Solve the following equation for x. log(4x+170) = 2

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Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) = ...

A: We have to find out x value for which f(x)=0

Q: Use the implicit differentiation to find dy/dx for (e^x)y + tan(xy) - 5 = 0

A: Given that        (ex)y + tan(xy) - 5 = 0 

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  y = Square root...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 8x2 + 4 (a) Find...

A: As per bartleby guidelines we only give first three question answers. 

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...

A: We have to find out the vector

Q: dw If w = x2 + y2 and x = at?,y = 2at find dt

A: Differentiation

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

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Q: ind the area of the region bounded between the curves (make sure you draw the picture). -2x =) y = e...

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Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

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Q: Question 1 For each improper integral below, show that it diverges or find its value. (a) | Va In z ...

A: in multiple question we are allowed to answer only first three sub parts of question.

Q: Solve ( V42 dx then evaluate the answer at x=-39 and C=34

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Q: 5. Find a polynomial with real coefficients that has the zeros 2,3i, and -3i. (Write it without comp...

A: zeros is given 2, 3i, -3i

Q: Given Cost and Price (demand) functions C(q) = 110q + 40000 and p(q) = -2.5q + 950, what profit can ...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  the demand function...

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

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Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

Q: Suppose that y varies inversely as the square of x, and that y = 9 when x = 13. What is y when x = 1...

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Q: W = f(T,v) where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A ...

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Q: x³ +2x .3 dx x2+1

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Q: Find the inverse function of f (x) = x3+12

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange ...

Q: (6)The radiusr of a circle is increasin g at the rate of 8 cm per min ute. Find the rate of change o...

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Q: Determine if v is an eigenvector of the matrix A. Select an Answer v 1. 25 8.99999999999999 1 A = , ...

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Q: Use the graph of the function to answer each question. (-2n < x < 2n) f(x) = cot(x) 3 –27 2л

A: We have properties of cot function to solve this problem

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: 9. Find the (f o g)(x) and (g o f)(x) of f(x) =a and g(x) = 3x+2

A: fx=x3x+2 and gx=2x

Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x2/2!) + (x*/4!) ...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the ...

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Q: Find the numerical value of a) sinh Cen 4) b) sinh (1

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka > 2sin 2 ...

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Q: Solve the following problems a. Which of the following are the coordinates of a point where the tang...

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Q: The possition function s(t) = -16t² + 350 Find : (a)average velocity over the time interval 2. %3D [...

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Q: Find the derivative of the trigonometric function. cot(x) f(x) sin(x) f'(x) = Need Help? Read It Wat...

A: Given that       f(x) = cot(x)/sin(x) 

Q: Question 1 Some values of a differentiable, invertible function fand its derivative are given below....

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Q: Find the derivative of the function. y = x*V25 - x²

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Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 11, fi...

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Q: Find the critical points of the following. 1. g(w)=2w3−7w2−3w−2

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Q: Consider the function f(x) = x* – 72x² + 10, – 5 < r < 13. %3D The absolute maximum of f(x) (on the ...

A: topic - functions and application of derivatives

Q: Given the following table, give the best estimate for f'(9) - f(9) 6. 9. 12 15 X f(x) 43 51 60 27 4 ...

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