(6) z² = pqxy z=c+x²y¹/a

Q: Consider the differential equation y" - y' + 3y = f(t), such that y(0)=0 and y' (0) = -9 f(t) is…

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Q: Suppose y(t) = = √²²= -du. Answer the following. 1 1+u² 9) Determine if y(t) is increasing or…

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Q: 1. Find 2 numbers whose sum is 23 and whose product is a maximum. 2. Find the dimension of a…

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Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

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Q: Problem: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800…

A: Let's find work.

Q: identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Simplifying (5y4 + 2x3y) * dx + -1(4xy3 + x4) * dy = 0 Reorder the terms: (2x3y + 5y4) * dx +…

Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π < x < π <x<π

A: We know the following. Fourier series of function fx on interval -L≤ x≤ L is defined as:…

Q: the tangent plane of the surface [ x^2+y^2+z^2=14] at the point (1,3,2) O 3 x-6y + 4z = 28 2x+6y-4z…

A: Given problem:- the tangent plane of the surface [ x2 +y2+z2=14] at the point (1,3,2)

Q: Find the Fourier transform of (x) 3x iPxK1 O if|x1>1

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Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х ucx, c) - че 2 (зу-2х)12 ans3-…

A: To find the general solution of the given PDE .

Q: Hand written plz A 39 year old person has $1,000,000. With this money as a single net premium, he…

A: This is a problem related to insurance calculation. Based on the policy of the insurance and concept…

Q: Question 3 Determine L-1 ¹ s²+3s-7 (S-1) (s²+2).

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Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

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Q: ar the function A whose graph is shown, state the following. (If the limit is infinite, enter 'n'…

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Q: Solve the given differential equation. All solutions should be found. dy x³-8y dx x NOTE: Use c for…

A: The given first-order differential equation is: dydx=x3-8yx⇒dydx=x2-8xy⇒dydx+8xy=x2...(1)

Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

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

Q: The function f(x, y) = x² + y² √x² + y² +1-1' (a) {(x, y) = (0,0)} (b) {(x,y) = R²2} 2 if : (x, y) =…

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Q: show that V(x, y) = x 'f (2x+y) is the genera Solution of : du 2X x av ах 1 ду

A: First, we find ∂v/∂x and ∂v/∂y  and substitute them in the given equation, if it satisfies the…

Q: 2-S Sin ³ x cos" x dx

A: SOLUTION-

Q: Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3…

A: The given graph is:

Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. - Ex…

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Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: 5 Use Cartesian coordinates to evaluate [[[ v² av dV D where D is the tetrahedron in the first…

A: Please follow the next step.

Q: 5. Determine the roots of y"" - 3y" - y' + 3y = 0 a. 1, 1, 3 b. 1-1, -3 c. 1, 1, -3 d. 1,-1, 3

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Q: Iim tan³x X10 1- Cos2x

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Q: Differentiate the function. P(w) = 2w² - 6w + 4 W

A: Given function is differentiated.

Q: 2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

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Q: from the date set, find the value of f(7) by use lagrang method X 3 6 9 11 y 12 13 14 16

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Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: X        P(X) X. P(X) X-μ   (X-μ)2 (X-μ)2 .P(X)  0 0.1 0 - 2.2 4.84 0.484 1 0.2 0.2 - 1.2…

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

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Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

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Q: 6 By separation of variables, Solve the following 5 PDES :- учи ²4 dx2 0 o u(e,t) = u(5,t) =6 u(x,0)…

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Q: و و ۹۷۶) (0) لا او A 2 1 - X Jx (x+2 - 4

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Solve the boundry-Valued PDE 24 = 4 24 = 484 ठेप ulo,д) =8 ёру using the genval method -12X-39 ans:…

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Q: > Previous question Find the first three nonzero terms of the Taylor expansion for the given…

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Q: The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x2 and the…

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Q: cos(bx) sin(bx) dx

A: topic- indefinite integral

Q: Question Using the definition of a derivative, find f'(x) given f(x) = -x³+4x² + 4x + 2. (Do not…

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Q: whats next the pattern 6 13 24 51 142

A: whats next the pattern 6 13 24 51 142

Q: 9. Find the volume of the solid obtained by rotating the region R enclosed by y = -x² + 6x-8 and y =…

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Q: Consider y = 2 cos √√x + 2√x x sin√x a. Find dy dx' and hence find f cos√x dx b. The graph of y =…

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Q: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

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Q: a. The volume of R using cylindrical coordinates with dV = r dz dr de where R: 0 ≤ x ≤ 2,0 ≤ y ≤ √4…

A: Let's set up  triple integral in cylindrical coordinates.

Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: Q4\ Find the average value of f(x,y) = (+√) where 0≤x≤y and 0 ≤ y ≤ 4.

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: For each of the following ,find fx fy fxx fyy fxx and fxy 1.f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹ey.…

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Q: Q4 A) Calculate the divergence of the vector field F=y³i + xyj B) Find the Curl of F(xy.z)=3x²i +…

A: To find out the divergence of vector field.