Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) x² + 4 f(x) = x² - 4 concave upward. X

Q: [₁₁ ) If nd f*. f(x) dx = 4 and g(x) dx = 1, what is the value of ولاء f(x)g(y) dA where D is the…

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A: The answer is given below:

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Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

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Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

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A: Solution is here

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A: By using a graphing utility to graph the function.fx=9x2-67x+7To Find the equations of any…

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A: We need to find volume.

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Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

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Q: 4. Use the Integral Test to determine if the following series converges or diverges. You may assume…

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A: The objective is to determine the average rate of change for the function.

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A: The given function is fx=1x+7 from x=0 to x=1

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Q: e. f. f(x) = cot(-) cot(-) I f(x) = sin(x³ - x)

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And the common…

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Q: Evaluate the double integral (x² + 2y) dA, where D is bounded by y = x, y = x³, and x ≥ 0.

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Q: the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: Please refer to the image below

Q: +31 Find the particular solution of the differential equation dy/dx = (4x^2-7x)/(3y^2+2) at x = 1,…

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Q: Sketch the graph of the following hyperbola. Specify the coordinates of the foci and find the…

A: Solution: 4y2 - 25x2 =100 for an up-down facing hyperbola,the Foci(focus points) are defined as…

Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

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A: Here we will find the value of a,

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Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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Q: A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3…

A: answer is in next step . please give a like !!1

Q: x² + y² Evaluate the double integral (3x - y) dA, where R is the region in the first quadrant…

A: Calculation of above requirement are as follows

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A: Given; dr/dt =4 inches per minute and h=6r.

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Q: The derivative of the function f is defined by f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what is…

A: answer is in next step. please give a like!!

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Q: Slope

A: We know that, A function, in mathematics, an expression, rule, or law that defines a relationship…