Find the area of the specified region. (Do not count area below the x-axis as negative.) the area bounded by y = 25 – x², the x-axis, and the lines x = -5 and x = 5

Q: 1. Lets say Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 Find (a) Q (-3) (b) P(5) (c) 5P(x) – 20(x) (d)…

A: Let's find.

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 (?, ?) lim t+\6t2 + 7'5t

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: dy 3. Find if y = sinh(sec2x) . Simplify your answer. dx

A: Given :y=sinh-1sec2x

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

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Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x + 1 at (6,…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Letf(x) = x+3x -9x-13 (a) Find the intervals where J(x) id increasing and decreasing; (b) Find the…

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Q: Answers

A: We will find the derivative using Chain rule.

Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: If an alternating series is not convergent then it is divergent. Select one: O True O False

A: We can find the answer as below.

Q: 1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Consider the two series: 6n (a) 5n + 39 n=1 1 (b) n2 In n n=1 Which of the following statements is…

A: Given

Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0<t< 2n L =

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: 9. 8. 13 3 f(æ)dæ = / f(x)dæ + f(x)de - f(x)dx, a 4 8. 4 what are the bounds of integration for the…

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Q: e cos xy [ydx + (x + tan xy) dy] = 0 %3D

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Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: 9* 3 19. P. 8" 4 P. 10 7 20. 8* 6

A: 19. P39P4820. 19.

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = -x + 7 6. g(x) = = y 81 6 2 bo 2.

A: We can find the area under the curves as below.

Q: 5. Evaluate the expression without using a calculator. Show all steps. (a) sin (4) (b) cot(-210°)…

A:

Q: Given f''(x) = 8x + 6 and f'(0) = 1 and f(0) = 2. Find f'(x) =

A: f''(x)=8x +6integrating w.r.t. x;∫ f''(x) dx =f'(x)f'(x) =∫ (8x+6) dx        =8x22+6x+Cf'(x)…

Q: Evaluate the integral sec² x tan? x + sec x (sec² x + 1) dx 2 sec x tan x (sec2 x + 1)

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Q: Зх + 108 dx х2 + 2х — 48

A:

Q: Solve

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A:

Q: A 20ft ladder is placed against a wall. If the top of the ladder is dropping at a rate of 5ft/min,…

A: given

Q: 8. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature is…

A: density=massvolume For  density to become maximum, volume needs to be minimum. Given

Q: A firm estimates that it will sell N advertising, where dollars. Use the derivative to find the…

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Q: 10) s) =-2 -2

A:

Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is…

A:

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

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Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Finding the Area Bounded by Two Graphs Sketch the region bounded by the graphs of the functions. See…

A: This is a problem related to area of the intersected region by given curves. Based on the general…

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: sec2 x tan? x + sec x (sec² x + 1) dx sec x tan x (seс? х + 1)

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

A:

Q: 7. Find ſxsec¯'xdx using integration by parts made simple or otherwise.

A: Given ∫x sec-1x dx To find integration

Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

A:

Q: Lety = 4x² – 4x+3 (a) Find the equation of the tangent line to the graph of the function atX=2; (b)…

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Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

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Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

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Q: 6. Since 3 is a constant, use the following property of summation to find the sum 3i- | = 1 E ka; =…

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Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

A: The given integral is:∫-2x+4x2+1x-1dxWe need to evaluate the above integral.