Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

Q: According to our calculation in the example, we have 옭(10 Sure enough, this is a bit greater than…

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Q: For the function f(x)=e* + ex, prove that the arc length on any interval has the same value as the…

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Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

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Q: Find the vector component of v = (4, -1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along to b is: Vector component v…

Q: Solve the following ODES by Undetermined Coeff 11 4X y - 16 y = 19.2 € + 60e, y(a) = Y(u) -4X HO 4X…

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Q: Match the possible graph for the function f with the specified properties: (i) the domain of f is…

A: The domain of a function y= f (x) is the set of all possible values of x for which is defined. By…

Q: Determine if the following series converges or diverges. If you invoke a test to demonstrate your…

A: A series is convergent if sequence of partial sum (sops ) is convergent

Q: Find the general solution to the following problems: 1. (D² + 4D + 5)y = 50x + 13 e³x 2. (D² - 1)y =…

A: 1. Its AE is: D2+4D+5=0 D=−4±16−202=−2±i Thus  CF​=e−2x(c1​cosx+c2​sinx) Here X=50x+13e3x Lets find…

Q: XD² +8D³² +16) y = _ sinx Ans: Y = C₁ cs2x+C₂ Sin2x + C3 Xcos2x + 4x sin2x = 1/-_sing

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Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r =…

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Q: ax²+bx+c whose graph has an x-intercept of 1, a y-intercept of -4, and a tangent line with a slope…

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Q: 7. Find the solution of the differential equation. 4y’’+17y’+4y=0 theme: repeated roots; order…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-2, -6,…

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Q: Find the Cartesian coordinates of the given point: (r, 0) = (√3, 4). OA) (₁ (1/2, 1/³) 2 ○ (³,²) B)…

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Q: Find the inverse LaPlace transform F(s) = 3 ²+5 2

A: Given, F(s)= 3/(s²+5) It can also be written as, F(s)= 3/(s²+(√5)²)

Q: The indicated function y(x) is a solution of the associated homogeneous equation. Use the method of…

A: Please see the below picture for detailed solution.

Q: In each of the problems, apply the method of reduction of order to find a second solution of the…

A: The given differential equation is:x2y''+3xy'+y=0, x&gt;0:The given solution is y1x=x-1=1xWe need to…

Q: et a = = = ci + j and b = 4i + 20j. Find c so that a and b are orthogonal. i

A: Please refer to the image below

Q: 4 (D²-2D+1) y = xe sinx Ans, y tết Xếtế xsinx-2 cos x = +

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Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2

Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.

Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

Q: The velocity V (in centimeters per second) of blood in an artery at a distance x cm from the center…

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Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $7 per foot for two…

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Q: 10. S 1 √√x+ ³√x dx

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Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

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Q: C is counterclockwise around the rectangle with vertices (0, 0), (5, 0), (5, 3), (0, 3) (a) directly…

A: The given integral is: ∮xy dx+x2 dy C is the counterclockwise around the rectangle with vertices…

Q: The indicated function y(x) is a solution of the associated homogeneous equation. Use the method of…

A: The given equation is;  y''-3y'+2y=5e3x.

Q: Hnd an equation in spherical coordinates for the rectangular equation x² + y² = z² = 0 - Do not…

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Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

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Q: Approximate the value of y2(2) using the method of successive approximation for the given…

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Q: Find an equation of the line that passes through the point and has the indicated slope. Point slope…

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Q: 12. Solve the problem with given initial value. y’’-6y’+9y=0, y(0)=0,  y’(0)=2 theme: repeated…

A: To find out the solution.

Q: USE A DOUBLE INTEGRAL TO FIND THE VOLUME OF THE INDICATED SOLID Z 52 F2 z = 6-24 0≤x≤4 0≤4≤2

A: We will use concept of double integral to solve this.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Use the Comparison Test to determine whether the series converges. n1.2-8 2.3 +8 Identify b, the…

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Q: Find parametric equations (not unique) for the following circle and give an interval for the…

A: Here we have to find the parametric equation of the required circle

Q: (a) Graph the function f(x)=-=x+4, -3 < x≤6 3 (b) Graph the inverse function of f(x) on the same…

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Q: Find f'(x) when f(x) O O O ƒ'(x) = f'(x) = f'(x) = f'(x) = f'(x) = (x² + 7) cotx 6 COSXCSCX 2xcotx −…

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Q: Find the slope of the parametric curve x = -6t²-1, y = 2t³, for -∞<t<∞, at the point corresponding…

A: We can find the slope at the indicated point in the following steps.

Q: Find the inverse LaPlace transform F(s): s+2 2 s - 4s + 13

A: Solve the following

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

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Q: Problem 6. The graph of f' (not f) is given below. At which of the marked values of x is A. f(x)…

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Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…