8) 3 3√3 2² 72

Q: Find the volume of the parallelepiped determined by the vectors (0, 4,-5), (2, 0, 5), and (-1,3,0).

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The y-coordinate of the centroid of the…

A: We first sketch the given region using a graphing calculator.  We will consider the graphs about…

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, −5), (2, 0, 5), and (-1,3,0).…

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Q: Solve the following deferential equations b) -2√x √x

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5)

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

A: Using disc method, find value of a+b+f(1)

Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

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Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 5.Find the area of the region bounded by y-8/x, y=2x and x=5.

A: Graph :

Q: Let u = (1, 2, –4), v = (-5, 3, -7), and w = (-1,4, 2). Perform the operation u. Type your answer...…

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Q: x² In solving for the antiderivative of f(x)= √√4-x² using trigonometric substitution, f(x) dx is…

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Q: Part III: Approximation and Differentials. (no using of calculator present all manual computations).…

A: To estimate the value of (217)(1/3) by approximation and differentials.

Q: y = e ²₁ y = 1, x = 2; about y = 2

A: the solve volume

Q: 6. f(x)= (3x4 - 4x³ + 7x)5

A: As per our guidelines we are supposed to answer only one question at a time. So i am solving the…

Q: 1.30 Find the value of the integral ₁00 √x dx by using simpson method (n = 6)? 1.00

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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: 4 3 a 2b0 Matrix A is defined as A = 9). where a, b, c E R. If A = A-¹, C 0 1 then find the value of…

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Q: 3. Convert the following polar coordinates to rectangular coordinates. 7π b. C. a. -3,- 2. 2…

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Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: -1/2 Find the gradient of f(x,y,z) = (x² + y² +2²) −1/² + In (xyz) at the point (1,2,2). Vfl…

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Q: (b)show that: I(cosh at cos at) = s*+4a"

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…

A: Given

Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: Given the figures below, do as indicated. Set up the formula only (using an method) to compute for…

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Q: dy Assuming - 9x3 + 7y2 – 2xy = 0 defines y as a differentiable function of x, use the theorem dx =…

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Q: 3. Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: given isr=2-3cosθ

Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 1. f(x)…

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Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

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Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: 2 2a 2b + c = -2 a + b3c = 3 a 3b + c = -5

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Q: IV.Sketch the ff. curves: Find all its properties. X 1. y= In x

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x<2 or 4<x. C. 2<x<3 or 3<x ≤ 4. D. 2<x<4.…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: E The power series representation of f(x) = n(x²-1) is given by 00 OA. ((-1) ((-1)")-1,", -1<x<l.…

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Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and…

A: Given

Q: integrate * Se³x+2 dx 2017 O +C d (2) 200 (14(14(1))) STOPISTOP!

A: The integration of the integral is e3x+2.

Q: 12

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Q: integrate * S(4√r – V√r² – 6√r³) dr 8 ·12 3 r³ – 2/4 r ² + C 5 35 r-ri-24r + C ² 35 24 3²-5r³+²+ C…

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Q: Evaluate the limit using L'Hopital's rule. Ansu an INTEGER value, with NO decimals, no spa lim (x-7)…

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Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

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Q: Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis.

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Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

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Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 4 with initial vector

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Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

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Q: Which of the following describes the partial fraction decomposition of a rational function of the…

A: When there is a whole square in the denominator, it it divided into two parts. One consisting of…

Q: For the following homogeneous differential equation, given that y1(x) = ex is a solution, find the…

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Q: ¹ (²³) 4- If f(r) = cot-1 + tan-¹ prove that f'(r) = r²+4

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Q: f(t)=sin(-t)- f(t)=1-cos(wt). soo.(10){SI=(1)f

A: We have to find Laplace Transform of given function.