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Q: Find aflax and af/ay. f(x,y) = 4x³y əx af ay ||

A: Given function is

Q: Find the area under the graph of y = x + 2 on the interval [-1, 2]. ਲਗੀਆਂ 54-2-1 1 2 3 4 5 3 4 n

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Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: C(x) = 0.04x^3 +0.02x^2 +30x +90, 0< x < 1500, a = 1000The marginal cost function is the first…

Q: The population of a city is P(t) = 2e0.05t (in millions), where t is measured in years. (a)…

A: The population of a city is (in millions), where  is measured in years.(a) To calculate the doubling…

Q: If you know that Q(x) is a quadratic function and that Q(3) = 12, Q(10) = 11 and Q(1) = 10 then: - |…

A: If you know that  is a quadratic function and that and , then to evaluate the following integral.

Q: Given the function h(x)= x(x-4)', find the following characteristics of its graph. Critical point(s)

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Q: Define f(0,0) in a way that extends f to be continuous at the orig 15x²-x²y² +15y² 2 x² + y² f(x,y)…

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Q: Find the absolute maxima and minima of f(x, y) on the given regions O f(x, y) = x² + y² 0≤ y ≤2-2x}…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A: A vertical  asymptote is a line x=a where the graph tends towards positive or negative infinity as…

Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: Be sure to show all necessary work in your solutions. Question 1 If cos = with <# < 2x. then find…

A: Using pythagorean identity sine is negative in quadrant IV

Q: For what values of x does the series converge conditionally? Σ = 1 (x-6)" √n A. x=7 B. x = 5 O C. x…

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Q: 29 J2 1 √√x-2 dx.

A: Whole solution is given below.

Q: Assume that the recursively defined sequence converges and find its limit. 80 a₁ = 3, an+12+ an The…

A: Given

Q: A region bounded by f(x) = 2x + 2, y = x, and x = 2 is shown below. Find the volume of the solid…

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Q: Express the area of the region bounded by the given lines as an iterated double integral. The…

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Q: 2- What value of c will make the following function continuous at x = 0? x3 f(x) = tan³ (3x) C x = 0…

A: To find the value of  that will make the following function continuous at .

Q: |f''(x)| [1+ (f'(x)) 2] 3³/² function of the curve y = -9 sinx, 0≤x≤2. Then graph f(x) together with…

A: The function is

Q: Find f/dx and df/ду. = 3x4y дх 518 ду f(x,y) " 11

A: Given Function

Q: dw 3 Evaluate at t= for the function dt 2" xy w(x,y,z)= x= sint, y=cost, z=t². Z O A. O B. O C. O D.…

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Q: Find the derivative of y = e² tan¯¹(x) е

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Q: Assume the world population will continue to grow exponentially with a growth constant k = 0.0132…

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Q: Q5// Find an equation for the line tangent to the curve Also, find the value of second derivative at…

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Q: ∞ Determine whether the series Σ e n=0 N13 converges or diverges. If it converges, find its sum.

A: We need to find sum of the series.

Q: Sa J x² e ³x dx 3x

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Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6)…

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Q: Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from…

A: First find the limit of x, y and z then integrate to get the volume.

Q: Write a rule for the linear function. y -4 -2 45 5 5 -1 -19 -22

A: A table of values is shown below :

Q: Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables. 1. Find the gradient of f(x,…

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Q: Evaluate the double integral over the given region. 1 SS (x + 1)(x + 1)^ dA, R: 0≤x≤3, 0≤y≤8 R OA.…

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

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Q: ][₁ xyz dS, where S is the cone with parametric equations x = ucos(v), y = usin(v), z = u, 0≤ u≤ 1,0…

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Q: TT. J V lim_x²e-5x x→∞

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 0 -5 O A. O B. O…

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Q: Verify that the function y = -1 y = ' − x + 0.25 is a solution to the differential equation y' = 4y…

A: The given solution is y'=4y+4x-2 and the solution is y=-10e4x-x+0.25 Verify

Q: 29. Σ( H = -4

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

Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit s $10…

A: We have to use the given information for solving the sub-parts

Q: d'y dx² when x = 2 and y = 4. If 4x² + y² = 32 then evaluate (Answer accurate to two decimal…

A: Given:We are required to find:

Q: Let f(x, y) = xex²-y and P = (2,4). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the…

A: We need to find rate of change.

Q: all values of x for which the matrix x² - 1 -3 2 20² +4 4xc -1 e. Determine x x+1 -3

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Q: derive the formulas for the derivatives of the inverse trigonometric functions

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Q: 2. Copy the vectors in the figure and use them to draw the following vectors (a) b2c (b) 2b = a + c…

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Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 4 + 3x3,…

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Q: Me number of mosquitoes in a field after a major rainfall is modeled by the function M defined by…

A: Here we given a function M described here models the quantity of mosquitoes in a field following a…

Q: Evaluate the integral using the indicated trigonometric substitution. S Note: Use an upper-case "C"…

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Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z) = 7x-7y-2z,…

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Q: Find the derivative of the function at P in the direction of u. g(x,y)= x-y 3xy + 5 Po(-1,1), u 12i+…

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Q: 2) Find the value of a and b such that the function f is differentiable everywhere. f(x) = Jar³, x²…

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Q: b. Find the domain of the function given by the following formula and sketch them in the xy-plane.…

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