Find the absolute maximum and minimum values of the function, subject to the given constraints. g(x,y) = 3x² +5y²; - 3≤x≤3 and - 3≤y≤6 The absolute minimum value of g is (Simplify your answer.)

Q: as rectangular function. Write the parametric equations x(t) = √t - 5 and y(t) = 5 + t²

A: The solution is shown in step-2

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Q: The rectangles in the graph below illustrate a left endpoint approximation for f(x) = The value of…

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Q: Suppose that f(x, y) = 7x + 8y and the region D is given by {(x, y) | -1 ≤ x ≤ 2, -1 ≤ y ≤ 2}.

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Q: Let y = f(x), where f(x) = x + dy = 33. X Find the differential of the function. X

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Q: Find the limit (if it exists): In t (e¹i+ t² — I j lim t→1 O ei + 1-3 + cos(1)k O Does not exist 1 O…

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A: To find the carrying capacity of the market, we need to understand that in a logistical growth…

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A: The solution is shown in step-2

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Q: Consider the following function whose graph is shown. yk 0.2 0.1 y = f(x) 2 (1) P(X<3) 0.150 (ii)…

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Q: can you answer the other one 10 root t

A: The solution is shown in step-2

Q: Solve the differential equation. y' = 5x - y 5(x-1) + Cex X

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Q: If f(x) = 12x² – x³, what is the rate of change of f'(x) at (1, 11)? -

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A: Given:Half-life of Phosphorus is 14.2 daysThe initial substance was 500 gmFormula Used:Initial…

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A: To find the function  such that it passes through the given point and slope of the tangent…

Q: can you do it one more time to double check pls

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Q: Consider the following. Find h'(x). h'(x) Solve h'(x) = 0 for x. X = Find h(0), h(-3), and h(3).…

A: h(x)= ex^2 -9 Differentiating h(x) w.r.t. x, h'(x) = (2x)ex^2 -9

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Q: COURSE: CALCULUS 1 If profit of a company that manufactures sporting goods is estimated in millions…

A: Here we have given the function , where  is profit of the company in .

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A: Trigonometric Ratio:Trigonometric identities:1). 3).

Q: Write the function f(x) = √1 + x² as a polar function.

A: Let

Q: p= 122 0.4x where p is the monthly price per subscriber in dollars and x is the number of…

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Q: x² + y² 2 5. Select the Cartesian form of the parametric curve defined by x=6cost, y = 6 sint. 2 x²…

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Q: Find 6 5 [["²² 4 4 xydydx.

A: NOTE: Refresh your page if you can't see any equations..

Q: A box is held by two cables fastened to the ceiling at angles of 85° and 80° to the horizontal. The…

A: A box is held by two cables fastened to the ceiling at an angle 85° and 80° to the horizontal. The…

Q: Use a double integral to find the volume of the indicated solid. 6-z= 6-2y 2 0 ≤x≤4 0sys2

A: We use the integral to find  the volume of indicated solid.

Q: (c) (d) Use trigonometric identities to show that sin (3x) = 3sin(x) - 4sin³ (x) Use trigonometric…

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Q: 3(a)Simplify the trigonometric expression          tan(u)+cot(u)=? (b)Simplify and write the…

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Q: (A) (B) (C) (D) Without doing any calculations, decide wh double integral is negative, positive, or…

A: In this question , we will find double integral of the given region .

Q: 6. (a (b) (c) Write the sum that represents the left-endpoint approximation with 4 rectangles e dr.…

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Q: lim n-> infinity |7(2n)!(x-11pi)^2n+2/7(2n+2)!(x-11pi)^2n

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Q: S cos x sin x dx e

A: The given integral is ecosxsinx,  limit from 0 to pi. According to bartleby guidelines we solve only…

Q: U QUESTION 3 Solve the triangle. Approximate values to the nearest tenth when appropriate. 00 a с No…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Using the given definition of Laplace transform, we can find Laplace transform of given function.

Q: The graphs of a company's total revenue function and total cost function are shown. Use the graphs…

A: The solution is shown in step-2

Q: Find the exact value using a double-angle identity. sin (300°) C 0 00 C C -√√3 √√√3 2

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Q: 1 13 When x = = 8 Σ n = 1 we have (–13)η χη νη || || 8 Π = 1 20 Σ n=1 (-13)"(-)" √√n

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Q: f(x, y)=4y+5x;R is the rectangle defined by 5≤x≤6 and 4≤y≤ 5

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Q: Q.2) Determine the relative extrema of 1 f(x,y) = xy-y² + 2x2² - 2x

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Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

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Q: 2. Consider the same cube from Exercise 1 (of volume V 125 cm³ and side-length s=5 cm). In the…

A: Note:Since you have asked a question with multiple subparts i am answering only first three…

Q: A favorite aunt wishes to establish a trust fund for her niece's math education. How much should she…

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Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: Find f(x) such that f'(x) = == +9√ and f(1) = 17. X 4 f(x) = +9x³/2 +4 x² O f(x) = 4 ln |x|+9x³/2 +8…

A: Formula used: