f(x) = (13 + 6t² + 1) dt

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A: We are given that A is set of m positive integers where m≥1 . We have to show that there exists a…

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A:

Q: Given r = e-, find the following. A Determine the derivative in terms of 0. Show each step and…

A: First we find dy/dx

Q: 2370  +  Sin 253 0=

A: Sin253° = -0.9563

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A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: 78 7 -1 V7x +3 dx =

A:

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: 1 18 6 The sum is (Type an integer or a simplified fraction.) 1/2 1/6

A: Topic:- sequence and series

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A:

Q: The slope of a curve at any point (x,y) is given by dy/dx= 8 - x.  If (2,14) lies on the curve, find…

A: find the equation of the curve.

Q: 1. Find the area enclosed by the given curve, the x-axis, and the given ordinates. (a) The curve y =…

A: To find the area of enclosed region.

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: Onelogin - Section 10.4 Homework courses/46921/assignments/1001688?return…

A:

Q: 5 (b). ( the base radius making the surface area minimum. ) Consider a cylinder having fixed volume.…

A: Use the application of derivative to minimise the surface area.

Q: f(x, y) = In (x²y - x) %3D

A: Here, the given function is: f(x,y)=ln(x2y-x) First to find the first derivatives:…

Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2-i,z3 = -V3- 3i and z4 = 4 + 4i %3D 3.1 Represent…

A:

Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

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Q: Find the integral of 32/3 and 32/3

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 –x. Find the abscissa of the centroid X of the…

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A: answer is in next step

Q: 9. S sec³ x tan x dx

A:

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A:

Q: Find the radius of convergence, R, of the series. 2 n!(2x – 1)n n = 1 R = Find the interval, I, of…

A:

Q: [1 -2 If A= [2 1] and B= 3 2, then (AB)T is equal -3 10 -2 7 Option 2 None of these O -3 7 –3 -2 10…

A:

Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 29,000 + 50x +…

A: To find the marginal cost.

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A:

Q: 2. Solve the following initial Condition Problems: dy а. dx Vry, y(1) = 2. || b. y' = x + y, y(0) =…

A:

Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2 - i,z3 = -V3 – 3i and z4 = 4 + 4i 3.1 Represent the…

A: We have to solve given Questions

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Q: Find the exact area of the surface generated when the curve f (x) = /5 – x on the interval 3 <x < 5…

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Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: 6 A)

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Q: e-X f(x, у) %3D x2 + y2

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Q: This equation is . .differential equation dy y2 dx ху Bernoulli O Separable O

A:

Q: This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic…

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Q: The following is used for all problems 1-6 below: A scientist adds 60 ml of pure water and 15 ml of…

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Q: For the differential equation (x2 – 9)y" + (x – 3)y' + 2y = 0, a regular singular point is: O x=3…

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Q: 2. Convert (-V3,) to rectangular form.

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Q: Q.4 Let Ø be a scalar point function defined as follows Ø = x3 + y3 + z - 3xyz. %3D 4.1 Find the…

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Q: Solve the equation .11 y" + 3y' + 2y = x2

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Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: This equation is an example for linear equations dy dx False O True O

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Q: A formula for a function y = f(x) is f(x) = 5x° + 1. Find f '(x) and identify the domain and range…

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Q: Use logarithmic differentiation to find dy/dx. y = x8/x

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Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

A: