d r S x a h to state the absolute and1 of the function. 6.

Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos(x'y)j. (Give an exact...

A:

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the ...

A: Topic:- application of derivatives

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A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how man...

A:

Q: Consider the series (9x). n=0 (a) Find the series' radius and interval of convergence. (b) For what ...

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Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 – 2x2 – 4x + 1, [-1, ...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: Consider the function f(r, y, z) = ry+y? + 22. (a) What is the gradient grad f of f, and what is its...

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Q: Čonsider the following nonlinear programming problem Maximize Z = 36x, +9x¡ – 6x¡ + 36x, – 3x X, +x,...

A:

Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

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Q: Given the differential equation y" + 7y' + 12y = 8x e-3x Determine the General Particular Solution f...

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Q: ............................. ....... ........ ........ ........ ......... Find the volume V of the ...

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Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per y...

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a rat...

Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

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Q: Use Newton's method and find an approximation for the root of the following function accurate to wit...

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Q: A graphing calculator is recommended. Find the following, correct to two decimal places. (Enter your...

A: topic - functions and derivatives

Q: Q3. Find out values of a, b, c for which curl of vector V is zero, where V = (2xy+ 3 yz) i +(x² + ax...

A:

Q: Let f(x) = 4e"+2 + e-3. | f'(0)

A: Question is solved.

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Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3...

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: 2x +3x-2 (i) lim 2х-1 1 +1 1) lim x+2 x+3 x-3

A:

Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity

Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

A:

Q: 'x + 7 |x – 2| f(x) = { x² – 2x x 3 9x 2х — 3

A:

Q: Use appropriate Lagrange interpolating polynomial for the following table and approximate f(1.5) Xi ...

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Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities? g(x)=x(x...

A: We have to find the zeroes and their multiplicities.

Q: Question Select multiple answers and then press Answer. p(x), r b f(x) is continuous on (-00, a) and...

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Q: dy 9ху — 5у dx

A:

Q: Find the lowest common multiple of 63,80,102

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Q: х — 1 f(x) — {3х — 3 (-4х + 3 х 3

A:

Q: У(x2 — у2 + 1)dх — x (х2—у2 — 1)dy %3D0 - -

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Q: Rewrite the following expression in terms ofu with u > 0. Tha the expression in terms of u without a...

A:

Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

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Q: Consider the region bounded by the graphs of y=In x, x-1, and y=1. Which of the following integrals ...

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Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx you...

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the...

Q: Find all solutions to the following first-order differential equation.  Make sure the solution set d...

A:

Q: Question 3. Let P be the collection of all polynomials of finite degree. Let I : P → P be the integr...

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y? + z...

A:

Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

A:

Q: 16. Let p(z) = (x- 1)(x – 2)(xr – 3)(x – 4). Choose the correct statement: (a) For any number u, the...

A:

Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find. 

Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0? NOT...

A: Follow next step

Q: Select ALL possible answers. * Which of the following is/are the point/s of discontinuity of the fun...

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Q: An aircraft is flying at 330 ft/s with an elevation of 180 ft from the ground, on a straight-line pa...

A: Question- An aircraft is flying at 330 ft/s with an elevation of 180 ft from the ground, on a straig...