cos(x) sin (x) dx 2 COS V1+ sin(x)

Q: The general solution of the differential equation dy/dx = 12x is y = 4x° + C. %3D Select one: O True…

A: topic- differential equation

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to solve above algebraically solution

Q: nd the volume of the solid generated by

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: Let y = y (x, t) represent the temperature of an insulated steel pipe of length L. The temperature…

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Q: ired) and other rules; You can use technology

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

Q: A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: 4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in…

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Q: t cos t?dt can best be evaluated by: A Power Formula B None (c) Trigonometric Transformation D…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

Q: We need to enclose a rectangular field with a fence. We have 500 ft. of fencing material and a…

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Q: y" + 9y = 9 sec² 3t, 0<t < T/6

A: To solve the following differential equation

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

Q: 5. A boater wishes to cross a canal that is 3 km wide. He wants to land 2 km upstream from his…

A: We need to find direction and time.

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

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Q: y" + y' – 2y = 2t, y(0) = 0, y'(0) = 1

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Q: Find the partial derivative. z = (x2 + 4x – 2y)° -

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Q: Wage Gap Between Men and Women The bar graph shows the wage gap between men and women for selected…

A: To find G(10) and interpret it.

Q: Suppose a population function P(t)  the following differential equation. P is measured in millions…

A: Given dPdt = P(P-10) The slope field is plotted in Desmos slope field generator

Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

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Q: Find the value of n in the following definite integral. S“ 4x*dx = 1

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

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Q: Determine whether the following series are absolutely canvergen t, Conditionally convergent,…

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Q: A candy box is made from a piece of cardboard that measures 31 by 17 inches. Squares of equal size…

A: let the cut out square side be "x"length of cardboard is 31 inBreadth of cardboard is 17 inAfter…

Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives

Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: Set up the definite integral required to find the area of the region between the graph of y = a? –…

A: Here we have to setup the definite integral required to find the area of the region between the…

Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: we have to find weight at t=10 hr.

Q: Find the general solution of the given second-order differential equation. 5y'' + y = 0 y(x) =

A: If the roots of the auxiliary equation is complex i.e, α±iβ , then complete solution is…

Q: x²y" – 3xy' – 2y = 0 а.

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Q: So 32 (z + 4)° da = 5120 %3D Select one: O True O False S sin4a da = 4 7/3 7/12 %3D Select one: O…

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Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: velocity? Answer:

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Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: Determine the integral of the ff. functions. 1. S - 10 sin 5x dx 2. S 4 x cos x² dx 3. S sec 2 (3x +…

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Q: The following table gives the sunrise and sunset times for various dates of the year in Lincroft,…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: ng one unit of the product for one year, f be the fixed setup cost to manufacture the product, g be…

A: Given :

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: A tower leans at an angle of about 84.7"., The figure shows that 171 feet from the base of the…

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Q: Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8.…

A: an=(-1)n 2n n! 5·8·11·.....· (3n+2) When applying ratio test for alternatingseries, the absolute…

Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

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Q: (x+ct u(x,t) f(x- ct) +f(x+ ct)] + g(y)dy x-ct

A: solution

Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2-x). Answer:

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Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: y = sec?(x), 0s

A: Here is the solution

Q: du u and dx du Identify u and dx du u" dx Finding for the integral dx.

A: