20. Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6 cm.

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Q: (0) + ]) (²) 500+ ( [ (x)500 = (T) = = ()UIS = (x + 2)UIS (x) = (x+

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Q: 9. (True/False) If f(x,y) is a continuous function on a closed, but unbounded set D, then f(x,y)…

A: False     because there are some functions which are continuous on a closed, but unbounded set,…

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A: Given problem:- 1. A company's profit, P, in thousands of dollars, is modelled by the equation P =…

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A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: Problem 6. The graph of f' (not f) is given below. At which of the marked values of x is A. f(x)…

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Q: a. Which of the following are functions? Justify your answer. f(x) 5+ 4- 3- -4-3-2-1 O -2- -3+ -4-…

A: Let's find function or not.

Q: ve the separable differential e C 1 = x² + t d find the particular solution sa 0) = = - 2.

A: topic;- application of integration

Q: Find the solution of the given initial value problem: y(4) + 2y"+y = 3t + 4; y(0) = y′(0) = 0, y″(0)…

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Q: Find the x-coordinate of the centroid of the area bounded by y (x² − 9) = 1, y = 0, x = 7, and x = 9…

A: Given: yx2-9=1

Q: Find the critical points. y(x) = 15x¹3/5 - 39√√x A (Use symbolic notation and fractions where…

A: The given equation is;  y(x)=15x13/5- 39 sqrt(x).

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Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' S(t) =…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=87, b=56 take t=10

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Q: a B Find: b = Note: Triangle may not be drawn to scale. Suppose a = 10 and A = 60 ° C= C B = b A

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Q: 1. Find the divergence and curl of the following vector fields a. F = (1/y²)j b. F=y³z³i+ 2xyz³j +…

A: We have to find the divergence and curl of the given vector fields.

Q: Let f(x) = ²15 Find the critical points c that correspond to local minima. (Use symbolic notation…

A: Given :fx=xx2+15

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Q: Problem 2. Let f(x) = 8x²8x4. Find the open intervals on which f is increasing (decreasing). Then…

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Q: Find the critical points of f(x) = -6x² + 2x² - 9 and apply the Second Derivative Test (if possible)…

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Q: (c) I² +4 3x³+4x² - 4x [3 -dx

A: Here we have to find the integral.

Q: 18) Find the first derivative of y = 1 -sin² x - 4

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

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A: topic:- differential  equations solution

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: By using Lagrange multipliers to find the indicated extrema, assuming that x and y are…

Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

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Q: Choose the correct value of derivative. d dx x+1 X () is equal to (Hint: Look at the note of section…

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Q: 2. Consider the function: f(x) = ² +⁹ Step 1. Find the critical values of the function. Separate…

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Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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Q: The graph of the second derivative f"(x) is given below. On what interval(s) is the function f(x)…

A: NOTE: Refresh your page if you can't see any equations. . the function is concave up when  as we…

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Q: Fill in each blank with an angle between 0° and 360° such that sin 200° = sin and cos 200° = COS

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Q: 5. (True/False) Every critical point is either a local maximum or a local minimum.

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Q: Find the area between the curves y = e-0.7x and y = 1.5x + 1 from x = 0 to x = 1.

A: Explanation of the answer is as follows

Q: 10. S 1 √√x+ ³√x dx

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