Solve the following differential equations. 9. dy dx dy 10. 11. dx dy dx = x³ + 2x || ४/w 3 X = 4 cos 6x

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A: The formulas of curvature are as follows

Q: Finding the Average Value of a Function 51. f(x) = 9x², [-3,3]

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A: Given A= 2-11 02-3,   C= -203 3-22 -133 and D= 1-2 0-1 31To find: ACD

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Q: 1. Fill in the derivative rules learned in class on: d dx [c] = d dx -[e] = = d dx d dx [x²] = =…

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Q: 1.) The total cost (in dollars) incurred each week to produce x Bluetooth Speakers is given by…

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Q: (x² + 2x for 1 3 for r=1 f(x)= x³ + x²+x for 1<x<3 0 for a=3 2x+1 for 3 Let f be the piecewise…

A: The given function is: f(x)=x2+2x           for x&lt;13for x=1x3+x2+xfor 1&lt;x&lt;30for x=32x+1for…

Q: 4. X dy dx 2 + 2y = x²

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Q: Find g"(x) for the function g(x) = (x − 3x³)(x² + 1). [A] 6+ 2x [B] 60x4 - 12x [C] -60x³ 12x [D] 0…

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Q: Given that S [₁² f(x) dx = 3, ²9(2) dz = 2 g(x) dx 39(x) - [² f(x) — 2 dx.

A: Given ∫02fxdx=3        ....1∫02gxdx=2      ......2

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Q: a. J(a) Problem 9: Draw the derivative of the function -10 11 F3 -5 10 10 0 -5 -10 V F5 5 F6 10…

A: We have to draw the graph of f(x) derivative by see it's original graph f(x).

Q: 3 let (6x)=x-2₁ g(x) = ³√x₁ hG) = x4 j(x) = 4x Express each of the function gover below as a…

A: We have to find to the composite function.

Q: b) g(x) = 11x³ - 4 g ¹(x) = 19

A: Since you have asked multiple question, we will solve one question for you as per our guide line. If…

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A: Slope of the Tangent line (m)=1/4

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Q: a. limx→o f(x) MATH 190: CALCULUS Exam 1 Problem 1: The graph of f(x) is given. Find each limit or…

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Q: 4 -3 42 -1 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 1 12 Identify the function whose graph appears above as f(…

A: We can solve this as follows:

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Q: Find the domain and range of the function graphed below. -4 -3 -2 -1 Domain: Range: 4 3 2 2 -1 -4 -5…

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Q: Evaluate f f (x) dx if f(x) 06 O 12 8 O 14 = Į [2x X 1 if x ≤ 3 if x > 3

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Q: I. Let z = /x² + y². 1. Find 8²% дудх 2. If x and y are functions of v and w given by x = v² ln w…

A: I, Given z=x2+y4 Let f be a function of x,y, x,y be  functions of v, then by Chain Rule we have,…

Q: Evaluate the limit lim (t + 4)i + 3t²j+e¹k t→0 Enter your answer in i, j, k form.

A: limt→0t+4i→+3t2j→+etk→

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Q: 17. y = (4x + y)² 19 ²² +2₁ 2ry-53

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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Q: ity before taking limits. 33. f(x)=x²+1

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Q: Select the correct answer below O O h 2 -1 13 11 10 9 11

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Q: Problem 4: Find the set on which the function is continuous. 1 a. f(x) = 2-¹ e b. f(x)=√4x²

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Q: Find h(x, y) = g(f(x, y)). h(x, y) = Find the set of points at which h is continuous. OD = {(x₁) ₁ Y…

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Q: The slope of the tangent line to f(x) = cos(x) sin(x) at x = ㅠ 2 5

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Q: If f(x) = 7x - 3 and g(x) (a) f(g(x)) = (b) g(f(x)) 10 (c) Thus g(x) is called an x + 3 7 function…

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Q: b)Sketch the trace in the xz plane. X c) Sketch the trace in the yz plane. Y

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Q: 9. Identify the horizontal asymptote of f(x) [A] y = 3 [B] y = 8 [C] y = 9 = √9x4+25x+x² x²-9 [D] y…

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Q: 22 (2y + xy² ) = √7 + (y)²

A: The order of a differential equation is defined to be that of the highest order derivative it…