Find a result by using variable separa Vx/y-1 b-y'ý+x-0 dx Find a result by using homogenous for

Q: Use double integration to find the volume of the solid bounded by the paraboloid z = 9x2 + y?, below…

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Q: d Calculate ri(t) · r2(t)] and d dt [r1(t) x r2(t)] first by differentiating dt the product directly…

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Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 6…

A: A detailed solution is given below.

Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) %3|

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: n/2 sine Evaluate the iterated integrals r cos e dr de 0.

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Q: Find the area of the triangles, which the lines form with the coordinate axes: а. 5х-35y %3D15 b. 4x…

A: a) We need to find x and y intercept of the line, Put x=0 in equation 5x-35y=15 Then 5(0)-35y=15…

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

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Q: Express the iterated integral as an equivalent integral with the order of integration reversed.…

A: Express the iterated integral as an equivalent integral with the order of integration reversed.

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: Given:          Curve y=2x2+10                     y=4x+16

Q: 20. Find the area of the region bounded by the curver=8 cos 20. С. 12л A. 16π В. 32л D. 8t

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

A: Using D=rt-s^2 If D >0 and r>0 then relative minima and r <0 then relative maxima  And at…

Q: For neN simplty 2-글 + 4-1 +8-금+16-습+. + +2"-그 2n

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (ë, g) = | (?,?) y = z

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Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10 + 10 sin…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Use a double integral to find the volume under the plane  z=32x+yz=32x+y and over the rectangle…

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Q: 324-y' y dx dy 18

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Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25

A: Note that left half of the circle x2+y2=25 means the second and third quadrants. Now, in the second…

Q: Which of the following angle measure (in degrees) is coterminal to an angle of measure 660 degrees?…

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Q: d d Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly…

A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

Q: Question 18 Find the surface area of that portion of the surface 2 = V4 -x that lies above the…

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion…

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Q: 2 2-y Mote: Complete lirst for X, them or Y.

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Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

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Q: . The line segment from (1, –1,3) to (0, –3, 1) forms a diameter of the sphere S1. Find the…

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Q: Evaluate the integral. n/2 5 cos?0 de

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Q: please

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Q: Evaluate the double integral over the rectangular region R. y'dA; R = {(x, y): -1sxs1, - 8 <ys 8} |…

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Q: a) Consider the scalar function: f(x, y) = -4x*y³ – 2a*y? Find the gradient: Vf(x, y) = i+ Find the…

A: Given; f(x,y)=-4x^2y^3-2x^4y^2

Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: Find the length of the curve, L. y² = 4 (x + 5)* , 0 0

A: To find the length of the given curve

Q: Question 9 1 2 1 Evaluate the iterated integral. J, J. J. (x²+ y2 + z?) dx dy dz -1°0 0, А) 5 В) з 8…

A: The solution is given in the next step.

Q: Question 9 1/2 Evaluate the iterated integrals J. J. sine r cos e dr de A 1/6 B) 1/2 6 D) 11/9

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Q: Sketch the region whose area is represented by the iterated integral. sinx dydx O un in x tan (x/2)…

A: Here is the solution:

Q: Perform the indicated operation. Simplify if possible. b2 64 b+8 b+8

A: To simplify the given expression.

Q: The value of the integral I = is required in the development of the normal probability density…

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Q: Use Green Theorem to Evaluate y x'dx – x²dy where C is left half of x² + y? = 25

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Q: dy is dy xy dx dx The general solution of y² + x² "

A: Solution is given below:

Q: h sin 2 xdx X COs 2

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Q: Evaluate the iterated integral. 1 2r y 8ry: dz dy dx

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Q: 1 -dt , find g'(2). V4 +t5 If g(x) =

A: Let's find.

Q: Find an equation of a line through the point (-1,3) making an angle of 45 degrees with the line…

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Q: Consider the vectors: a = -11î + 10j +–12k, b = 2î + -8j + -12K, c = -7î +-10j + 10k a) Find: bxc =…

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Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = T, using 4 trapezoids.…

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Q: onsider the curve (y² = 9 + x ) that defines y as an implicit function of x. If P (xo, yo) is the…

A: Topic:- application of derivatives

Q: Consider the equation y" + ay' + by = f(x) the constants a and b are real and different from zero,…

A: The given problem is solved below in detail.

Q: 1. Sket dh the graph of the cylinder r = (y – 2)2 in R. %3D

A: