Consider the function f(x) = 2 - 7x², −4≤ x ≤ 1. - The absolute maximum value is and this occurs at x = The absolute minimum value is and this occurs at x =

Q: Productivity-diminishing returns Suppose the pro- luctivity P of an individual worker (in number of…

A: We need to find out the number of training hours for the maximum rate of change in productivity.

Q: Evaluate Th - dx ¹1+x

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Q: Q5: Derive the formula for trapezoidal Rule to evaluate f(x) dx a

A: SOLUTION-

Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: A = 15-6 14 53 2, b= 22 12 9 -6

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Q: Solve for So So Szyzdzdydz. 0522 108

A: To solve for ∫03∫02∫15 xyz dz dy dx.

Q: Question 16 The area bounded by y=1-x²₁x+y=1 and the x-axis is submerged vertically in the water…

A: We need to choose correct option.

Q: HOMEWORK 16: Graph the following equations. x3 3. y = (x-5)(x+1) x²14x13

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: Rewrite the polar equation r = = 6 sin(0) as a Cartesian equation.

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Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: Rewrite the Cartesian equation r(0) = Enter theta for if needed. = 3 as a polar equation.

A: Topic = Geometry

Q: Evaluate the integral (1 + 2y)ªdy.

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Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

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Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: (x²-1) + 2y = (x + 1)² dy dx

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: ·S. Given : 1 value of -AB AB. 3 72 40 8x + 1 20 3 280 3 4x - 3 4x - 3 dx. If we let the…

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Q: Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 -dx 2 √√3x²-4

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Q: The region in the first quadrant bounded by the graph of y-8-³, the x-axis, and the y-axis is…

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Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

A: This question can be solved using the concept of partial derivatives.

Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

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Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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Q: Differential equation x² 2xln(y)dx + dy = 0 y

A: If the equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x , then the solution is      ∫y constant M dx…

Q: 2. (y - x + xycot x) dx + xdy = 0

A: We have to solve the given differential equation.

Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

Q: 8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an…

A: The logarthim function  is of the form fx=alog4x-h+kThe equation of the asymptote is x=100The…

Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Find the line integral along the given path C. f(x - y)dx, where C: x=t, y = 5t+7, for 0 st≤5 C √(x…

A: Topic:- application of integration

Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: (d) Given r(t) = (ln(t+1), t cos 2t, 2¹). (i) Find r'(t). (ii) Find parametric equations for the…

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Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: Find ² of 2 = 2x³ - 5xy² z xy

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative