7π/12+

Q: (a) Evaluate limits x? - 3х - 4 i. lim- X4 Vх - 2 3x +1 lim i. x--* J4x -1 X-0

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Q: f(x) = sin 2x g(x) = cos x find the area using HORIZONTAL STRIPS.

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Q: Find the particular antiderivative F(x) of f(x)=4x−3 that satisfies F(1)=8.

A: The given function f(x)=4x-3, its antiderivative satisfies F(1)=8

Q: Q. 6 Use Newton's method to approximate the real root of the equation x2-3x - 1 = 0 up to three deci...

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Q: V17/2 V17/2-x² V17-x²-y2 J. If the integral f(x,y,z) dzdydx is rewritten in spherical coordinates as...

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Q: Using Laplace Tramform solve intial value problem y-2y'+y ="; d0) =0 : y'(0) = 0

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Q: the cost to produce x units of wire is C=50x+400, while the revenue is R=70x. find all intervals whe...

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Q: d the interval and radius of convergence of the series whose nth term is 3"+n 2" +1

A: Given, f(n)= (3n+n)/2n+1    

Q: Evaluate the integral: f sinhxcosh(-x)dx Select one: 2cosh2z + C a. 3cosh2z b. +C sinh2z с. 4 d. cos...

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Q: 1 7. Using the definition of supremum, prove that sup = 1. 3m

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Q: Solve for y(t) where y(t) + 2 / a – u)y[w)du = t.

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Q: What is the integral of sin^5 x cos^3 x dx if the lower limit is zero and the upper limit is T/2?

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Q: d²y Evaluate when 0=0 given y=4 sec 20.

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Q: 11. Give an example of each of the following, or explain why such an example cannot exist. (d) A fun...

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Q: A Evaluate each series. 1. (3n +1) n=1 6. 3. Č(2"-3) n=1 5. n=1 n+1 5. 2n+1 7. ons bu n=0 6 9. 3.2"

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Q: Q3. Solve the boundary value problem y"' + 2y" + 2y' + 4y = 0, y(0) = 1, y () = 0 and y'(0) = 0. How...

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Q: I= e", y =t e", teR,

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Q: 11. Give an example of each of the following, or explain why such an example cannot exist. (a) A seq...

A: A sequence <an> is convergent and converges to 'a' then every subsequence converges to <a&g...

Q: Find a vector that is perpendicular to the plane passing through the three given points. P(3, 0, 0)...

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Q: 2. O Differantiate each of foll. funchions- fox) メん fa)= d 2X (42) 2-1 2. Ans 2.

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Q: Use optimization techniques to answer the question. Find the two real numbers x and y whose sum is 9...

A: Given that: Sum of two numbers x and y is 90.

Q: Students sold 458 cups when temp was 25 they sold 534 cups when temp was 29. Write an equation in sl...

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Q: A student drops a pen from a classroom window on the seventh floor of the mathematics building. If t...

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Q: x³ - 3x²y = C %3D

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Q: Please help me verify the following identity: (sinx + cosx)^2/sinx cosx = 2 + secx cscx

A: here we have identify the given identity. the solution is following.

Q: Consider the graph of y? = x(4-x)2 (see fig of the solids that are generated when the loop o bout (a...

A: Given: Consider the graph,  y2=x4-x2

Q: 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at t...

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Q: Determine the volume of the solid formed by revolving the area bounded by x² + y? = 25 and x + y=5 o...

A: Given- The Solid formed by the revolving the area by x2+y2=25 and x+y=5. To Find- The volume of the ...

Q: Find the value of tanh? (0.25 ).

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Q: 8 Let f be a differentiable function and suppose that f'(x) < 4 for all x E [3, 4]. If f(3) = 11, pr...

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Q: At the inflection point where x = a, A) f"(a) * 0 B) f"(a) 0

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Q: Use optimization techniques to answer the question. Find the area of the largest rectangle that fits...

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Q: 2. A cup of tea is prepared in a preheated cup with hot water so that the temperature of both the cu...

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Q: 17. Evaluate the limit, if it exists. Show work. x2-3x-10 lim x5 2х-10

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Q: 3.3 Inx + tanxe d 4-4x -sinte dx

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Q: 8 x V5 Write log in terms of 81 log 2, log 3 and log 5 to any base.

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Q: What is the volume formed by revolving about the x-axis the area bounded by the lines x = 1, x = 5 a...

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Q: •y =f(x) + -3 -2 -1 3 4 2. 3. 2.

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Q: Please kindly find the given acceleration function  A(t)= 2t+3  and an initial velocity V(0)=-4  ...

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Q: x - 2 3. Write the Maclaurin's series up to 5 terms of the function In 2x + 1

A: Given : f(x) = ln(x -2/2x+1)

Q: Determine the general solution of: y'' − 21y' + 110y = 10x.

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Q: a) If d'r = 3, when t = 0 we have dt? dx 0 and x=0, what is x as a function of dt t?

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Q: 2 1 Find x if x 4-110 0 4=0 2 2 4

A: Topic = Matrices As per guidelines , At a time only one question can be answered out of different mu...

Q: The Saint Vincent Hotel and Leisure determines that its total monthly profit P(x), in hundred thousa...

A: Let's find. 

Q: Prove that $lax) =se³ is Cont. on ts don

A: Given: fx = x3 and δ≤1 To prove: f is continuous on its domain.

Q: Solve for x, rounding to three places, if necessary: A. log, 27 = B. log, 2.9 = 3 C. e2x = 5

A: here we need to solve the logrithmic functions. the solution is following.

Q: (1+ x² ;x 2 (b) Determine if the following f(x)= type of discontinuity for f(x).

A: Topic:- continuity of function using limit

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval -...

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Q: Q1. The biologist G. F. Gause studied the growth of the protozoan Paramecium in the early 1930 s. Th...

A: We need to solve D.E.

Q: dx 2. (x² +2)°

A: Solution)