Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 | f(x)dx = %3D 7 | f(x)dx =

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Observe the given graph and decide whether function is increasing or decreasing.

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

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Q: E) Find the line's equation which passes through the points (2 , 5), (-3, 1)?

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Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: Se2x sec?e2x Vtan e2x + 2 dx

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Q: Find an equation of the circle that satisfies the given conditions. Center (-1, 6); passes through…

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Q: 1. Lets say Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 Find (a) Q (-3) (b) P(5) (c) 5P(x) – 20(x) (d)…

A: Let's find.

Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

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Q: Assume the acceleration of the object is a(t) = -9.8 meters per second. (Neglect air resistance.)…

A: Given data÷ As you have suggested i have solved all steps of part 1.

Q: 1 Find Vf(P) and Df(P). (a) f(r,y, z) = y² + 2² – 4x2; U = i – +; P(-2,1,3) %3D |

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Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: Find the center of mass for the following masses along the x-axis (distances are in cm): 42g at…

A: Center of mass = sumation of mi xi / summation of mi

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A: Given ∫(2x+6)x2-2x+17dxTo evaluate integral:

Q: 6. Since 3 is a constant, use the following property of summation to find the sum 3i- | = 1 E ka; =…

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

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Q: A small home business creates muffins, bones, and cookies for dogs. In addition to other…

A: Here, from the given data, let x be the number if muffins, y be the number if bones and z be the…

Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

A:

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: To find the equation of curve

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…

Q: - How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

A: Combination

Q: Determine "k" so that the vectors 3a- 4b and 5a+ 2k b are collinear. Justify your response.

A: Topic = Vector

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

A:

Q: A problem or equation of the tangent line to a curve at the point (1,3) is y = x+2. If at any point…

A: Let's find.

Q: eax sin bx dx

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Q: Find the integral of 32/3

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Q: A company estimates that it can sell 2,000 units each month of its product if it prices each unit at…

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Q: emx cos nx dx

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Q: 27. In how many ways can each of the following be drawn from a standard deck of 52 cards? three…

A: As per guidelines we can solve only first three sub part of the question. Solution From a standard…

Q: 10) s) =-2 -2

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: n=1 convergent, absolutely convergent or divergent.

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Q: . Find the point(s) on the graph of the curve f(x)= x 3 /3 +3x+4/x the tangent is horizontal

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Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: What are the slopes of the asymptotes for the hyperbola whose equation is 4x2-9y? = 36? %3D

A: Here, the given equation of the hyperbola is: 4x2-9y2=36 In standard from it can be written as:…

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x – 8x and…

A: There is a line through the origin that divides the region bounded by the parabola y=2x-8x2 and the…

Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

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Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

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Q: 4x +4y+ 8x - 16y = 44 %3D

A: Topic = Geometry

Q: sin' xcos³x dx 3

A: Given: I=∫sin7xcos3xdx   As we know that; The trigonometric identity; sin2x+cos2x=1 The Power rule:…

Q: Short Answer dr = Inr+c. a) True or False? Please explain your answer. b) c) = ? dz d) What does…

A: Given problems:-

Q: Find the slope of the tangent line to the curve of intersection of the graph of z = 2x2 + 3xy + 2y2…

A: We need to find slope of the tangent line.

Q: Calculate the iterated integral. 6. x/2 (y + y2 cos(x)) dx dy Need Help? Read It Watch It

A: