Calculate the area enclosed by the f(x) = x3 – 6x² + 8x and the x-axis. curve

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Q: A company that produces cell phones has a cost function of C = 6x² – 197x + 1859, where C is the…

A: C= 6x2-197x+1859differentiating w.r.t xC'=12x-197+0C'=012x-197=0x=19712

Q: 16 Find the constants a, b, c, d, e for the ellipse r = 6+2cos0

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Q: •5 f(x)dx = 6 and | g(x)dx= 2 , evaluate |3|

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Q: Evaluate F. dr. F(x, y) %3D хі + yi C: r(t) (5t + 1)i + tj, 0 sts1

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Q: A company that produces cell phones has a cost function of C = 17x² – 444x + 18816, where C is the…

A: Given query is to find the number of units to minimize the cost.

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Q: 1. The set of 2 x 2 matrices with real number entries, denoted M2(R) : a, b, c, d e R}, is a vector…

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Q: Find the slope of the tangent line to the polar curve r = cos(30) at 0 = 7. Enter as an integer or…

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Q: Double USA, manufacture of the Nicolas cage pillow has determined that the marginal daily revenue…

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Q: Solve the following differential equations of yy' + y' = x;

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Q: Find the area of the region enclosed by the parametric equation x = t3 – 8t y = 6t2

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Q: II 2. 3. 2. 4. x² 1. X. 3. D3x 4. 1. Find the given derivative. 4-part 1 Homework: Homework Chap

A: Dx3x-12 + 4x32=Dx3x-12 + 4x-32                               =3Dxx-12+4Dxx-32…

Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

A: Solution:

Q: 3x+2 dy for y = In, dx 2. Find Fully simplify your answer 3x-2

A: Solving the problem by finding the derivative.

Q: Solve the initial value problem (b) y^ prime +2xy+xy^ 4 =0 ; y(0) = 1

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 5

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Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: Let fx) = mx + b where m and b are constants. If lim fx) = 1 and lim Ax) = -1, determine m and b.

A: Given: fx=mx+b And limx→2fx=1 and limx→3fx=-1

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + t°j dt

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Q: Given the function below f(x) = V-80x + 144 Find the equation of the tangent line to the graph of…

A: Given :

Q: Write the equation of a sine or cosine function to describe the graph.

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Q: Suppose that z = f(x, y) is differentiable at the point (1024, 1024) with f,(1024, 1024) = 5 andf,…

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Q: Evaluate F. dr F(x, y) = 5xi + 8yj C: r(t) = ti + v4 - tj, -2 sts 2

A: Calculate drdt. drdt=ddtti+4-t2j      =1i+124-t20-2tj      =1i+124-t2-2tj      =1i-t4-t2j…

Q: Given Rn 2+i- cos ( 2+i , express the limit as n → 0 as a definite integral, that is provide a, b…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 5, 4),…

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Q: Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

Q: Use the Divergence Theorem to calculate the surface integral F• ds; that is, calculate the flux of F…

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Q: Suppose that z = f(x, y) is differentiable at the point (1024, 1024) withf,(1024, 1024) = 5 and…

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Q: n(t) 2t2 -7 at the point t 3 is 11. || The slope of the line tangent to True False

A: nt =2t2-7 Or, n't=4t Formula Let, y=f(x) be the curve then the slope of the tangent of the curve…

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

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Q: 5. show that the equaution sin X-3x+1=0 has only one real root

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 f(x): dt f'(x) -…

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Q: Consider the solid a drawn in the first octant, as shown below, which is formed by the surfaces y =…

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Q: /1 5/2 Find the length of the curve r (t) = ( t,4t,25t ) for 0<t <1.

A: Use the parameterization of curve for finding the length of curve .

Q: General Directions: Follow the directions given for each section. Write your solutions and final…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: 3) Ernie the African Elephant is 9 feet tall and weighs 6 2 tons. Elijah is a similarly-shaped…

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Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

A: Area = 12∫θ=αθ=β r2 dθ.

Q: Find the fourier senes for the Periodic extension given below! te [o, 2] X (t) = -1 te [2,4]

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Q: Chain rule and implicit differentiation Suppose that F(r, y, 2) = 0 defines z as a function of z and…

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