49. x − y = 6 2x - 3z = 16 2y + z 4

Q: find the particular solution to the system of ODES x - -X ỷ=2x+y, b) given x(0) = 2 and y(0) : = a)…

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Q: Q1) Evaluate the integral ff*dy dx using polar coordinate

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Q: Find h'(1) if h(x) = g(f(x)), g(x) = h'(1) = x + 1 x-1 . and f(x) = In(x). I

A: To find h'1 if hx=gfx, gx=x+1x-1, and fx=lnx.

Q: 2. Find parametric equations for the following curve. The path consisting of the line segment from…

A: Given a line segment joining two points  P,Q followed by the segment of parabola y=8-2x2 . Now ,

Q: -2x+2y+6z=2 3x=8y+19z-28 2(x-y)-5z=x-6 Solve by using Gaussian elimination

A: This by using Gaussian elimination:

Q: I. Find the inverse of f(x). Determine the domain and range of f(x) and f '(x). 1. f(x) 2. f(x) = 6x…

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Q: Step 2 It is given that x = 2 - 5t², so dx -10t dt = Step 3 Also given is y = -5t² + t³.…

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Q: Find the exact length of the polar curve. r = e60, e69, 0≤0 ≤ 2π

A: L=∫abrθ2+r'θ2dθ

Q: Is (r¹ + 13x² - 14) + (x² − 1) in Q[x]?

A: Since we are given with the multiple number of question and our guideline is solve first question

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A: We have to find the cost function, radius and height. The silo id made of tower and dome. The…

Q: 1. provided. (a) Evaluate each indefinite integral using integration by parts, u and du are free di…

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Q: • [*1(x) dx = 2^1{F(s)}, f(t) Use (8), < ¹ { $(8²1)}} s(s to evaluate the given inverse transform.…

A: L-1{1/s(s-1)}

Q: Find the divergence of the vector field F at the given point. F(x, y, z) = ex sin yi - e* cos yj +…

A: GivenF(x,y,z)=exsiny i-excosy j+z2 k

Q: An equation of the tangent plane to the surface 2z-x²-0 at the point P,(2, 0, 2) is given by: a.…

A: 2z-x2=0 at the point P0(2,0,2)

Q: ng Target IA4: I can setup and use integrals to compute the average value of a function on an…

A: the average value of the given function, y=xx2+1 on the interval [0, 3].

Q: 1. Evaluate the integral If. (430 R (4x + 16y)dA, where R is the parallelogram bounded by the lines…

A: To find the given integral , we can change the given integral in  terms of 'u' and 'v' .

Q: Consider x = h(y, z) as a parametrized surface in the natural way. Write the equation of the tangent…

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given point is

Q: Write a function that expresses the surface area S as a function of r for a cylinder with volume =44…

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Q: Use the Laws of Logarithms to combine the expression. In(a + b) + In(a - b)- 7 In(c)

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Q: Find the area of the region enclosed between f(x) = = x² + 0x + 11 and g(x) = 2x² + 2x + 3. Area =…

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Q: · [ft-d ds of F(x, y, z)=(³,³,³) through S: x² + y² + ² = 4. 3. (Section 17.8) Find the outward flux

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Q: Find div F and curl F if F(x, y, z) = 9ei - 3 cos y j + 2 sin² z k. div F= curl F=

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.02q2 +5g - 48, where q…

A: The profit function is given, Pq=-0.02q2+5q-48

Q: Find the area of the region. f(x) = x² + 6x + 9 g(x) = 6x + 25 -10 -5 y 50 40 30 g 20 10 f 5 X

A: fx=x2+6x+9 and gx=6x+25 ⇒x2+6x+9=6x+25⇒x2=25-9⇒x2=16⇒x=±4At x=-4⇒y=6-4+25=1At…

Q: Let f(x, y, z)=2e' cos(xz). Then the derivative off in the direction of 7-j-k at the point A(0,0,0)…

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Q: Evaluate the integral using an appropriate substitution. ev 3y-8 S 3y-8 dy=0+ + C

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Give a mathematical equation example to convince another student that a reflection and a translation…

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Q: Find the sum of the series. (Round your answer to six decimal places.) 00 n=0 (-1)^²n +1 62n +1(2n +…

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Q: Find the area of the region that lies inside both curves. r = 1 + cos 8, r = 1 - cos 0

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Q: The price of a company's stock over the 12-week period at the beginning of 2012 can be approximated…

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Q: (10) Use the definition on continuity and the properties of the limits to show that this function in…

A: The function wx=3x+2x-7

Q: Find the tangent plane to the equation z = 5x² + 5y2 - 4y at the point (0,-2,28)

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Q: A circle has a radius of 5.5in. A sector of the circle has a central angle of radians. Find the area…

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Q: Use the Laplace transform to solve the given integrodifferential equation. t f" X(T) αT, y'(t) = 1 -…

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Q: A fluid has density 2 kg/m³ and flows in a velocity field v = -yi+xj+2z k where x, y, and z are…

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Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 + cos y 1+ sec y

A: The given trigonometric expression is 1+cosy1+secy. We have to rewrite the given expression.

Q: Evaluate the line integral, where C is the given curve. √xy xy ds, C: x = t², y = 2t, 0≤t≤ 3

A: Short Explanation::-

Q: In the function f(x) = 5(x²+4)³, the expression x² + 4 is the inside of the composition. For each of…

A: a) g(x)=sqrt(8x+5) b) h(x)=8e5x c) k(x)=8 ln(5x2+8x)

Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

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Q: 5. Find the relative extrema and points of inflection for f(x) = 5xe*. Show all steps.

A: To find out the relative extrema and points of inflection for the given function.

Q: 18. Find cot if tan 0 = 0 A) C) 11 3 3√√7 28 B) D) 4√7 3 4√7 11 11√√7 28

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Q: Use Newton's method with the specified initial approximation x1 to find x3, the third approximation…

A: Consider

Q: Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the…

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Q: A rectangular flower garden with an area of 70 m² is surrounded by a grass border 1 m wide on two…

A: Let length of flower graden=x mLet width of flower garden=h m

Q: Find the limit 11x³y lim along two different paths. No decimal entries allowed. (z,y) → (0,0) 3x6 +…

A: The given limit limx, y→0, 011x3y3x6+y2. We have to find this limit.

Q: all numbers h such that the average value of f(x) = 3 + 10x. 6x² on the interval oblis equal to 4…

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Q: A woman, with her employer's matching program, contributes $300 at the end of each month to her…

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Q: Find the parametric description for the surface of the frustum of cone x = y^2 + z^2, for 0=<x<=4.…

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Q: Find the error and solve correctly. Determine whether the sequence converges or diverges. How do…

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Q: Find the direction in which the maximum rate of change occurs for the function 5x sin(xy) at the…

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