tan (t) dt. Evaluate cos® (t)

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A: As question number 37 is highlighted solving that only.

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A: Since you have asked a question with multiple parts in a single request, we would be answering only ...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Determine the discontinuities of the following functions and state why the function fails to be cont...

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Q: 11. A go-cart and driver have a combined mass of 300 kilograms. They are traveling at a constant spe...

A: Given that a go-cart and driver have a combined mass of 300 kilograms.Also, given that they are trav...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500. ...

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Q: 14. A projectile is launched from ground level with an initial speed of 128 feet per second and a la...

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Q: Find the derivative of f(x) = -6x 10x10 f'(x) =

A: This question is related to derivatives.

Q: To test this series for convergence n2 + 1 n=1 n' + 6 You could use the Limit Comparison Test, compa...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A: We have to find the sum of series

Q: Find the equations of normal of the curve y = 2x-x-at (2, 0).

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Q: The annual consumption of beef per person was about 64.3 lb in 2000 and about 61.3 lb in 2007. Assum...

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Q: II. Solve for the general solution of the following differential equations. y' - 5y = 0 cos x tan y ...

A: Note: According to.our answering guidelines we have to answer only three sub parts in a question(if ...

Q: 2 ext 5. g(x) = .x+1.

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

A: Let's find. 

Q: Solve the maxima/minima problem. Show figure. Find the dimensions of the right circular cone of grea...

A: I am attaching image so that you understand each and every step.

Q: DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y x- 3x2 + 4x- 12 2. y = (x...

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Q: Compute the given integral. sin xdx %3D +C

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Q: Solve the differential equation by variation of parameters. y" + y = sin x y(x) =

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Q: Find the coordinates of points where the graph of f(x) = -x + 6x2 - 9x + 17 has horizontal tangents....

A: topic - functions and derivatives

Q: How fast is the volume V of a rectangular box changing when its length L is 10 ft. and increasing at...

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Q: Use the limit comparison test to determine whether the series converges. 2 3k + 4 The series

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Q: Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=7+x^5 About ...

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Q: Evaluate the following integral: 7 dx = 团+C 2 V2 – - 49 – 49 Note that an arbitrary constant has bee...

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Q: The population of a country dropped from 52.1 million in 1995 to 45.9 million in 2008. Assume that P...

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Q: If > uk and > v% are convergent series, then > (uk + v%) and 2(uk – Vk) are convergent series and th...

A: First we take partially fraction then we use sum of GP. 

Q: (x+2)? dy 2y dx x -4 x² -4

A:    dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

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Q: 3 x+V X dx 6. 4

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Q: A skyscraper has 40 storeys. A cleaning company is charging RM80 for their services on the first flo...

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Q: dy = ay + b whose dt Write down a differential equation of the form all other solutions diverge from...

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Q: -Divide (3x3-2x²+12x-9) ÷ (x²+2) . state answer using a correct division

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

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Q: Problem 4: If a = 4t,s = 16 whent = 4, and s = 25 when t = 6, find the equation of motion s = f (t) ...

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Q: y = x- Sin 2x %3D

A: topic - derivative of a function

Q: Show that f(x, y) = e2x cos(x + In y) satisfies the differential equation 2f - yfyx = 5f.

A: Given that fx,y=e2xcosx+lnyShow that 2fx-yfyx=5f

Q: Of an initial amount of 6000 g of lead-210, how much will remain in 110 years? Lead-210 decays at a ...

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Q: 2. Let R(t) = }sin 4t î – bcos“(21) j + 2t Ř. Find the moving %3D trihedral of the curve of R(t) at ...

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Q: What is the equivalent degree angle measure for the radian angle measure? Select all correct stateme...

A: As we know that; The angle which in radian can be converted into the degree by formula, θd=180°πθr

Q: Gamma Functron 11 Find (5. 2) Answer: 32.5781. r (4.5) P (4i5) - 0.06 0:10537 1.6317

A: We have to calculate gamma function

Q: I have two "given" pieces of information. Given #1: f(8) = -6 Given #2: First attached image. H...

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Q: How do I get the P.I xp from the C.F xc on nonhomogeneous 2nd order derivtive equation in this probl...

A: Given :dx/dt-2y=-sin(t)dy/dt+2x=5cos(t)  

Q: A company produces a special new type of TV. The company has fixed costs of $472,000, and it costs $...

A: Given query is to find the marginal profit when 250 tv produced.

Q: Using a single integral, which method/s can be applied to determine the volume of solid generated by...

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Q: 3. Use the Intermediate Value Theorem to show that f(a) = a2-3x +1 has at least one real zero betwee...

A: According to intermediate value theorem, if f(x) is a continuous function whose domains contains the...

Q: If f(r) 6 sin (), find f (x). Find f'(0.6).

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Q: Consider the following. (5x? - 4)4 y Let u(x) = (5x2 - 4) and v(x) = x. Find each indicated derivati...

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