-22- 14

Q: Solve the differential equation dy /dx = 6 x sq. / 2 y + cos y

A: By separating the variables, we get

Q: Find the area between the curves correctly up to five decimal places. Thank you!

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Q: Calculate the derivative of the function g(x)=x∫√x(t2−t)dt at x=1.

A: using the fundamental theorem of calculus we find g'(x)  

Q: In Exercises, which of the graphs are graphs of functions of x, and which are not? Give reasons for ...

A: We have given two graphs;

Q: f(x)=cos(x) g(x)=cos(8x-pi)+7 Describe transformation Cycle g corresponds to interval (pi, 3pi) Cycl...

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Q: The bar graph shows the percentage of U.S.college freshmen with an average grade of A in high school...

A: The data displayed by the bar graph can be described by the mathematical model where x is the number...

Q: The life X (in hours) of a battery in constant use is a random variable with exponential density. Wh...

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Q: Now simplify lim s(n) lim n → 0 25 n(n + 1)(2n + 1) to find the limit of s(n). n → ∞ lim s(n) = lim ...

A: This is evaluated as follows.  

Q: In 5 x+1 Find the derivative of y = logs ((*)) with respect to x-1 independent variable x.

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Q: The graph of the derivative of a function f is shown. Determine the x-coordinates of all stationary ...

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Q: find a formula for the nth partial sum of the series and use it to determine whether the series conv...

A: The series,

Q: use spherical coordinates to find the mass of the sphere x2 + y2 + z2 = a2 with the given density'' ...

A: Given: To find the mass, it is given that the density at any point is directly proportional to the ...

Q: Graph y = cos x for -T <xS 27. On the same screen, graph sin (x + h) – sin x y = h for h = 1, 0.5, 0...

A: The graph for positive h values is as below;

Q: Find the general indefinite integral. Illustrate by graph -ing several members of the family on the ...

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Q: For the following exercises, find the exact values of a) sin 0<x< 360°. and c) tan 2. without solvin...

A: Given: From this value, the sides of a triangle can be drawn as,

Q: Find the extrema and points of inflection (if any exist) of the function. Use a graphing utility to ...

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Q: The function s(t) describes the motion of a particle along a line. (a) Find the velocity function of...

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Q: Find the general solution of the differential equation and check the result by differentiation. dy/d...

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Q: A manufacturer of corrugated metal roofing wants toproduce panels that are 28 in. wide and 2 in. thi...

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Q: Please help me with my assignment, show work thank you. Please answer both part A,B

A: Given

Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether e...

A: In the question it is mentioned that we have to start with lowest value of x. So from graph, if you ...

Q: Find the limit

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Q: B. Involving Trigonometric functions sin cos cos w sin w) dw üi) sec"(3y)tan (3y)dy iv) | tan (6x)se...

A: Since, Since,

Q: find the derivative of the function

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Q: 39. Let S be the portion of the cylinder y = e* in the first octant that projects parallel to the x-...

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Q: Please answer showing all the steps to the solutions! Please answer in exact numbers as I am very co...

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Q: Please show all steps to the problem using exact numbers! I am very confused, thank you!

A: Given that, Part(a) If n = 1 a1 = ln (1 + 2) - ln(1)      =  ln(3) - ln (1)       = ln(3) If n = 2 ...

Q: Sketch the graph of y = x 2 - 6x + 8 by plotting the roots and the minimum point.

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Q: Evaluate the integral.

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Q: Define the real numbers R to be the set of all cuts in Q.

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Q: find the mass of the lamina described by the inequalities, given that its density is ρ(x, y) = x + 3...

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Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: x/3x +. u = 3x + 2 symbolic notation and fractions where needed. Use C for the arbitrary

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Q: Find the envelope of the family of ellipses x2a2+y2b2=1 having the same area.

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Q: Calculate the integral ∞∫0dxx2+16.

A:                                               These are called improper integrals so in this case, ...

Q: evaluate the integral.

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Q: Find any intercepts   y2 = x3 − 4x

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Q: Find the amount of an annuity that consists of 20 semiannual payments of $500 each into an account t...

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Q: Section 3.7 Problem 5

A: We first find x for which f(x)=-29/4  

Q: Find the interval(s) where the fuction is concaving up and when it's concaving down for  f(x) = ex −...

A: Given function is,

Q: Integrating Polynomial Functions ∫(x + 2) dx = ∫x dx + ∫2 dx

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Q: Explain how to determine the restrictions on the variable for the equation 3/(x + 5) +4/(x - 2 )=7/(...

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Q: Answer question 3 and evaluate the integrals

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Q: Section 3.3 Problem 15

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.