3 Find the area between the curve of X = and the y-axis on the interval [2, 5]. 2.749 3.296 4.159 4.957

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A: Follow the procedure given below.

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A: given rate of profit =4t+4t2+2t+2 13To find: Profit in first three years

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A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: 5. y = log(7x + 3). 4²x¹+8

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A: Here we have to use the concept of derivatives

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A: see below the answer

Q: 6. Find all the "zeros" of the function f(x)=x³ − 5 x² + 4x − 20 if you know x=5 is a root of f.

A: See the details solution in below

Q: dx √x(x+1)

A: We have to integrate given term.

Q: Question 1. Let f(x, y) = eª + 2xy³ + x²y. Find the following: (a) ▼ f(x, y) (b) ▼ f(0, 1) (c)…

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to sketch the graph of given function.

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Q: Determine the critical points of f(x) = 8x3+81x2−42x−8.

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Q: All computations in this section must be done by the definition of Taylor series (taking…

A: For (4), Given: f(x)=2x3+x2+3x-8. Now,          f'(x)=6x2+2x+3f''(x)=12x+2f'''(x)=12

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Q: dx (x+3)²-25 7.57

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Q: رد البر A Polynomial of the third degree reculting from the Tyler series of the function fix)=√x+1…

A: The given function is f(x)=sqrt(x+1), x0=1.

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A: We have to find D.

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A: Given the interest increases exponentially. The investment is $4000 and the interest in 3 years is…

Q: 2 Let f(x) = 4x² - 3 to find the following value. f(t+1) Don f(t+1)=

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Q: For the next two exercises, determine the Taylor series generated by the function f at x = a.

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Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

A: I am attaching image so that you understand each and every step.

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

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A: " According to the guidelines issued by the company we are supposed to answer only one question.…

Q: QUESTION 16 hexagons can form a tiling of the plane. A. All OB. No C.Some

A: Option (C) is correct.See below the answer and explanation

Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

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Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: If the Wronskian W of f and g is t²e5t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: 3) lim (x - 1)-¹ Inx x→1

A: Our Aim is to evaluate the limit of the expression given below:-limx→1x-1-1 ln (x) -(i)

Q: Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus) 11) A lasagna removed…

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Q: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

A: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

Q: 2. ₂(x³ - 3x + 1)dx

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Q: 9. Find the volume that will be generated by revolving the area bounded by the curve y = cosh x in…

A: We need to volume.

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Q: Q5: Find the sums of the following (geometric series): 3n-1 - 1 6n-1 n=1

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Q: = Find the direction in which the maximum rate of change occurs for the function f(x, y) the point…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: According to question,Given equation,x2 - 5y2 + 26x + 164 = 0

Q: Solve the following differential equations of 1-' 4. (2xy²-2y)dx+(3x²y-4x)dy=0 ( 7

A: The solution is given in the next step.

Q: (a) Show that the three points define a right triangle. Hint: The difference between two vertices in…

A: Note:as per guidelines we Support only three subparts of the questions.kindly repost next question…

Q: Solve the initial-value problem. xy' = y + 2x² sin(x), y(¹) = 0

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Q: (6x²-y+3) dx +(3y²-x-2) dy

A: