Given the graphs determine the integral to find the volume, if it is rotated about the x- axis (1, 1), y=x³ 0 Of(x)²-(x³)²]dx Of(x)²-(x³)²]dy OTS (2³)²-(r)²]dx O None of the Above

Q: Find the length of the arc of a circle of diameter 8 meters sub tended by a central angle 2pi/3…

A: Let "θ" be a central angle in a circle of radius "r". Let "s" be the length of the arc cut off by…

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Q: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

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Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an<1 and compare it…

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Q: Test: Test 2 (11 problems) In the following problem, begin by drawing a diagram that shows the…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: Find the parallel projection of the vector v = onto the vector w=.

A: Given problem:- Find the parallel projection of the vector v=<4, -5, 7> onto the vector…

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A: Given query is to find the area under the curve

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A: We know that ∫dxa2-x2 = sin-1xa+C

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Q: y = 3sin (40 +

A: Given query is to find the phase shift.

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A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

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A: Given query is to find the number of computer sold in two years.

Q: Find the value of that will make the function f(x) continuous everywhere. f(x) = {ka² -2, (4x+k,…

A: Given problem:-

Q: 15. The sides of a triangle have lengths x, x + 4, and 20. Specify those values of x for which the…

A: Concept: Parallelogram Properties: A Parallelogram is a particular polygon formed by a quadrilateral…

Q: MY NOTES ASK YOUR TEACHER The rate of change of the function f(x) = sin(x) + csc(x) is given by the…

A: Verify the identity

Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: a. Interest is compounded quarterly b. Interest is compounded daily c. Interest is compounded…

A: Follow the procedure given below.

Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

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Q: Given the following matrix below, find matrix C such that A + 2B = C 2 -31 [3 -1 21 A= 5 0 2 & B= 4…

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Q: An architect is asked to design a game room in the shape of an isosceles trapezoid where the non…

A: Let's find fourth side length for maximum area.

Q: Evaluate the integral. *5 1³ v +² + 25 dx

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Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

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Q: 1. Determine the value of a such that lim 24-2 Hint: Apply one of the Limit Laws. 3x² + ax + a +3…

A: We have to find limit

Q: Let w=x² +3y² + 2z² where x=rcos, y=rsin 0,z=5t find dw dw ar' at

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Q: Prove that the vectors v= and w= are orthogonal.

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: numerate and explain each briefly the six guidelines in solving maxima/minima problems

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: 5. Consider the function if x € Q f(x)= if x # Q. Show that f is not Riemann integrable on [0, 1]. n…

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Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 7e-⁹x + 4 and…

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Q: Using polar coordinates, evaluate the integral sin(x² + y²)dA where R is the region 1 ≤ x² + y² ≤…

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Q: Suppose that R is the finite region bounded by f(x) = 2√x and g(x) = x. Find the exact value of the…

A: The given curves are: fx=2x and gx=x (a). So, the bounded region is as shown below;   Apply the…

Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

Q: Set up the definite integral required to find the area of the region between the graph of y 19-2 y =…

A: We have to find out area

Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: Sketch the region enclosed by y = 3x and y = 5². Find the area of the region.

A: find intersection

Q: Evaluate the iterated double integral √1-x² _L [ ³²-x² sin (x² + y²) dz dy dx

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: What is…

A: Given that a ball launched at in air t seconds after  it is launched byf(t)=-16t2+300t+20When the…

Q: Consider the functions z= - e* Iny, x= In (u cos v), and y=u sin v. əz dz a) Express and as…

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Q: [f(a)]² =

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Q: Homework: MML 1.1 T Line Find the slope and the y-intercept of th y=6-2x Select the correct choice…

A: Given query is to find the slope and y intercept of the line.

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find laplace inverse of given function.

Q: 3. Let u = f(x, y), x = r cos 0 and y = r sin 0. Show that: 1 1 Urr + −Ur + - U00 = Uxx + Uyy. p2 r

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Q: 4. Find 3x 2t dx/e²t dt

A: