3. fx²(9-x³)5 dx 4. J√4x-1 dx

Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: If z = 4x - xy², which vector is normal to the plane tangent to the surface of this function at (0,…

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Q: USING CYLINDRICAL METHOD Find the volume of the solid obtained by rotating about the y-axis the…

A: Given that, Solid obtained by rotating about the y-axis the region bounded by y=2x2 - x3 and y = 0

Q: Activity #3: Present Value Max was injured and can no longer work. As a result of a lawsuit, he is…

A: We need to find Present value.

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: 3. y= x²-3x-4 x+2

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Q: Consider the falling object of mass m = assume that the drag force is proportional to the 12 kg, and…

A: We need to choose correct option.

Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)

A: We need to find D.E.

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

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Q: 7) Use the double integral of a cross product to find the surface area of x = z² + y that lies…

A: Let's find surface area  by using double integral.

Q: The area bounded by the parabola x²- 2x+y=3, the y axis and the line y=4 revolves about line y=4.…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

Q: 1. For the vectors v = and u = a. Find vou b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s 56

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: We know that every polynomial function is continuous and differentiable. If a function is not…

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: Which of the following is an appropriate choice for & when proving the following limit? lim(x² - 2x…

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Q: Let r(t)=(3-2 cost)i + (2+2 sin t)j. Find the arc length parametrization in term of the arc length…

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Q: 6 F 0 28inx Cask ex

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Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9 None of the…

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Q: Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x +…

A: A detailed solution is given below.

Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-

A: The given function is: fx,y=xyx+y-1+x2   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: 5. ft² √1-1³ dt 6. J (2x+3) dx (x²+3x-6)⁹

A: We have to evaluate the integrals.

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: TRUE or FALSE: 1. The integer 5047 is a prime numbe

A: To write down that the given number is a primer number or not.

Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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Q: The position of an object moving along a line is given by the function s(t)= - 16t+80t. Find the…

A: The objective of the question is determine the average velocity in the given intervals.

Q: Q) choose one only 1) If y = (x − a)√2ax − x² + a² sin-¹(*), then y' = 2√/2ax-x² a a is constant. 2)…

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Q: 3. [7.3] Determine the dot product between the two vectors below if there are 135° between them as…

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Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

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Q: Find the average value of the function on the given interval. f(x)=√√x+3; [1, 13] (Type an integer…

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Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A: Let's solve all given questions.

Q: Determine the angle formed between the following two planes: T1: 5x - 4y+z=3=0 T2: 3x - 4y + 2z+8=0…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:-

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

A: We have to find the area of the given region.

Q: Evaluate the integral. (Use C for the const dx 15 √ 5x(1 + 5x)

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Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

A:

Q: Calculate the area contained between the curve y = cos x,-<x<, and the line y = 1/2. T 3 √3 Option 1…

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Q: (a) Find the general solution of each of the differential equations: dy 8e2x - 4x dy dx = 12e - 10y…

A: Solved below.

Q: 100 (e) Σ199 2i(i3 – 1) i=1

A:

Q: 13. In |z|

A: It is depend upon the property of complex number and thier Logarithmic.

Q: C. Find the average rate of change of the given functions at the indicated interval. 1. f(x) = x² at…

A: We know that average value of function f(x) on given interval [a,b] is f(b)-f(a)b-a

Q: sv x² + 2x dx

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Q: the polar coordinates to find the volume of a sphere of radius 1. -

A: Given;  Sphere of radius 1.

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fæ(t) =…

A: