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Q: के For the function f(t, x) = sin(4xt +9x), find and da Əf 4x6x(4xt+9α) (Type an exact answer in…

A: topic- partial differentiation

Q: Solve the system of differential equations. X1' = 3x1 1x2 x₂ = 1x₁ + 5x₂ = - 11, x₂(0) = 7 x₁ (0) x₁…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine the radius of convergence of the following power series. Then test the endpoints to…

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Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

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Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: 00 The power series for the exponential function centered at 0 is ex = Σ k=0 convergence for the…

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Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: For the function f(x.y.z) = 1+ xy° - 4z*, find f f, and f.

A: We can find the partial derivative in the following steps.

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: dy (x-2)° · (2x + if y dx\x=0 Find = e2x . Vx+8

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Q: of and дх of Find for the following function. dy f(x.y) = (x' - 4) (8y + 7) of dx

A: To find ∂f∂x and ∂f∂y for the following function.fx, y=x5-48y+7

Q: Electricity Company: Best Energy plus $monthly Write a verbal description (word problem) for this…

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Q: 6 4 for f(x, y) 3 3x у" - 4x"у. 5 3 Verify that дх ду ду дх of 4 5 3 4 18y x - 20y°x dx 18x°y -…

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Q: Find an equation of the line that passes through the points. (-4, 7), (1, 2) Sketch the line. 10 -10…

A: Equating the two given points,

Q: Find the area of the surface generated by revolving the curve about each given axis. x= 5t, y- 9t,…

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Q: Use the geometric series f(x) = convergence of the new series. f(x) 8 1-x 1 Σx, for x<1, to find the…

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Q: 15 Find the area f the surface generated by revolving x= 4√/1-y, 0sys. about the y-axis. 16 The area…

A: The given problem is solved below in detail.

Q: 5. Use the shell method to find the volume of an ellipsoid formed when that part of the ellipse x2 +…

A: Given

Q: Use the graph of g(x) to answer each question. (a) Find the domain and range of g(x). Write the…

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Q: A triangle has variable sides x,y.z subject to the constraint such that the perimeter is fixed to 24…

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Q: For an arithmetic sequence a31=67 . if the common difference is (-4), find a1 and the sum of the…

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: We have to find out the domain and range

Q: cosh z Let F(x) = 1. Find F(0). 2. Find F'(x). √x+1 sin(1-t) dt.

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Q: For the function h(x,y) = ?x = x +9y 2xy-9 ah əh find and ax ду

A: We need to find derivative.

Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: 1 1-x Use the geometric series f(x)= = Σx, for |x|<1, to find the power series representation for…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01 )…

A: Differentiation need to be done appropriately.

Q: Solve the triangle. C≈ A≈ B≈ (Round to two decimal places as needed.) O (Round to one decimal place…

A: We have to find out the angle and side

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: topic -rate of change of a function

Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n-5 Ps(x) =

A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

Q: Sketch a graph and make a chart of a function f, that is continous on (-infinity, infinity) and…

A: answer is in next step

Q: Identify the type of quadric surface defined by the equation 0, 2 4 and find all x-, y-, and…

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Q: 42 2.

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Q: 4. Consider the line D: "2¹ = = = ²/² = = z2 and the plane P: 2x + 2y — z = −3. a) Find the points…

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Q: S= 4 dx 2 3 X³_4x² +8x 니

A: We need to evaluate integral.

Q: Use the power series E(-1yx", IxI < 1 to find a power series for the function, centered at 0. f(x) =…

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Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

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Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

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Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

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Q: Find what value of c does S da = 1? 4 Answer:

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Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: - Given cost and price (demand) functions C(q) = 100q + 45,300 and p(q) = 2q +900, what profit can…

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Q: Kindly solve the following completely within 20 minutes and draw the figure/graph for each,…

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Q: A population doubles every 24 years. Assuming exponential growth find the following: % help…

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Q: 2. (2x -y + 1)dx + (4x - 2y + 3)dy = 0

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Q: Let f(x) = 2log, (x) - f'(x) = ƒ' (1) =

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Q: For the function (a) Find the domain of g(x). (b) Simplify g(x). (c) Find any discontinuities in the…

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Q: s, e -0.4 is

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