If 4x? + 5x + xy = 2 and y(2): – 12, find y'(2) by - implicit differentiation.

Q: Find the volume of the solid generated when the plane region is bounded by: x= y^2 and x+y= 2 is…

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Q: Find the maximum rate of change of the function f(x, y) 4y5 at the point (5,4)

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Q: a²z For each of the following functions z, find a²z a²z and ду? дх2 дудх' дхду 2. z= sin3x cos4y

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Q: 12. Evaluate: 212-3V+1 (a) (d) / sec (2) / (b) / sec (20) de dr 1 (e) rVI-1 dr dr 16+9r2 (c) sin t…

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (- 2t + 3)i…

A: The Solution is given below

Q: dz 2. Suppose z is a function of r and y and tan(VT+ y) = e**. Determine az and ду

A: Here, the given that z is a function of x and y with: tanx+y=ez2⇒z2=ln tanx+y...(1)

Q: dy as a function of x. dx Write the following function in the form y = f(u) and u = g(x). Then find…

A: Given query is to find the derivative of the expression.

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

Q: Solve for the general solution using homogeneous

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Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.

Q: 18. Find [ 2x°(2x* -1) dx

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Q: II. Let f(x, y, z) = z° sin a + Determine 2 dydzərəz'

A: We know, ∂2f∂y∂x=∂∂y∂f∂x

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: The integral sin(x- 2) dx is transformed into f, g(t)dt by applying an appropriate change of…

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Q: dx J V1-4x2

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Q: y=v16-x 2.

A: This question is based on application of integration.

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

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Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Concept: The Trapezoidal Rule: Consider the continuous function f(x) on the interval [a, b]. Divide…

Q: A. For each of the following functions z, find and dx ду 1. z= sin3x cos4y 2. z = tan- 1 (2) 3. yz +…

A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: 13. Identify the polar coordinates of the point with the given rectangular (-6, - 63) 47 6, 3 7T 6,…

A: Given rectangular coordinates are (-6,-63) which is (x,y)We know that polar coordinates are in the…

Q: dx 5x2 + 16

A: Given that a integration and we find the solution of this question by general formula of the…

Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: plz

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

A: This question is related to limits, we will solve it using given information.

Q: 10. The graph of a function is given below. Determine the intervals on which the function is concave…

A: We know that,

Q: y = e* – axis. and the x - axis is revolved about the y

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Consider the function  f(x,y,z) = sqrt(xyz)   what is the gradient of F?   Determine the…

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Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: 13. Identify the polar coordinates of the point with the given rectangular coordinates. (-6, - 63) 7…

A: Topic = Algebra

Q: x +729 lim x+9 X-9

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Q: Evaluate the guen -x>·dR,where conGists of the upper past F the cuafe x ty"=1 from "(-1,0) parabala.…

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Q: dx (9 – 4.x²)³/2 2,3/2

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Q: 4. Which of the following is the Maclaurin series fore Circle all that apply. (a) (b) (-1) (2n)! (d)…

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Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

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Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

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Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

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Q: Find the slope of the tangent line to the curve (a lemniscate 2 (a² + y²)° = 25(x² – y²) at the…

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Q: Given the function P(x) = (x – 1)²(x – 4) - -

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Q: 1 dx, if possible. State whether the integral converges or diverges. 4

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Q: a) m - 1 b) m – 2 Q.8) The characteristic equation for y"" + 3y" – 4y = 0 , is : b) 2' = 32?-4 c) m…

A: To find out the characteristic equation.

Q: Given the geometric sequence 31, 31/8,31/64 find an explicit formula for an find a7 please show…

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Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: cos vx cos(sinvx) dx

A: Given query is to find the value of the integral.