Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да 2(x-y) dr 09-7-7/ 2y 8x O Əz Әх : In ( ) + 2/1/ for z = W

Q: B)Evaluate the integrals: i) f/2rdrde. ii)/2/2 x 2² siny dz dy dx.

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

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Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = Triple integration. 1 using

A: Given

Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…

A: Given curves is y2=x

Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

Q: Consider the following. de Use the substitution u = sin(0) to rewrite the given integral. SCC du The…

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Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: At which value of x is the function whose graph is shown below differentiable? 8 N 4 -2 0 2 4 6 -8…

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Q: Use the limit comparison test to determine if the following series converges or diverges.…

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Q: A firecracker shot straight up in the air has a height s, in metres, at time t, in seconds, given by…

A: Let xt be the curve followed by the object, then the formula for finding the instantaneous velocity…

Q: храхашд-Х,50025

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Q: Q2A)Matrix 4 = [],find Eigen values of 4². A

A: The given matrix is  A= 1342. We have to find eigenvalues of A2. Eigenvalues are the roots of the…

Q: Q6A)If y sin find Zxy.

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Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2e…

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Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

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Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

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Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C

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Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: B)Solve the differential equation x+4y M

A: Given differential equation is:

Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: Solve by Gaussian-Jordan algorithm (reducing to rref). Show all row operations you apply. If the…

A: First we reduce in row eclehon form .

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: The graph of the function 86 f(x) can be obtained from the graph of y = f(x) by one of the following…

A: Solved below.

Q: If g(x, y) = x² + y² - 6x, find the gradient vector Vg(1, 6). Vg(1, 6) =

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Q: Find f'(0) if f(x) = a; a, b, c, d constant bc-ad O d² ad-bc (c+d)² ad-bc d² ad+bc d²

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Q: dy Given y³ In x + x¹e³y = sin-¹(xy), compute da

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Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: This question can be solved using the concept of rate of change.

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: Here, the eigenvectors corresponding to λ=-3 is 011

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 2.…

A: According to question,Given Function,fx = -2, 1, 1, 4, 2, 5, 3, 6gx = 6+4xhx = -x2 + 2

Q: The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: A utility pole has a guy-wire attached to it 3 feet from the top of the pole. The wire is attached…

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(8r - s, s² - 7r). Use the table…

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Q: A graph consisting only of a vertex is a complete graph. True False

A: Recall:  The complete graph on zero/one nodes is a trivial graph also known as the null…

Q: dy Solve the differential equation dx x6 +4y X

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve,    r=sinθ+3cosθ, θ=π2

Q: f(x) = 14x - x², [0, 5]

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Q: the complex number 6√3+6i in polar form* 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

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Q: Use implicit differentiation to find y' and then evaluate y' at (-1,1). 3 x Iny+4y= 2x³ y'l(-1,1)=…

A: We have given  xlny+4y=2x3  Find y' and y' at (-1,1)

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below