Select the best answer. sin x 1+ cosx + sin x 1+ cosx

Q: 1 1 lim X/1+ x

A: The given limit,       limx→01x1+x-1x

Q: (3+ х) lim 1— (3-х)1

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Q: Determine whether the given statement is true or false. {9, 11} C {11, 9} Choose the correct answer ...

A: Statement is false. 

Q: 3. ponits Find the surface area of the volume generated when the graph of f(x) = /1+x², on the inter...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

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Q: Find the area that are bounded by:  y=x2+5x and y=0 from x=−2 to x=1.

A: Given: - The curves are,y=x2+5x and y=0 from x=-2 to x=1 To find: - The area that area bounded by gi...

Q: (a) Let p and q be statements. Use only ONE suitable method throughout to determine preciscly whethe...

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Q: If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then ...

A:  Given:         V=45001-150t2 0≤t≤50     the rate at which water is draining is given by      dVdt=d...

Q: S x²e2** dx

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

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Q: Consider the following. xy + yz + zx = 17, (1, 1, 8) (a) Find an equation of the tangent plane to th...

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Q: sin 4zdz J 16+ sin ª 2= 4.

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Q: dx 5. f xV16– 9x2

A: Given,           ∫dxx16-9x2To find : Integrate using trigonometric substitution.

Q: Ve dx -2 0.

A: If the limit is finite and exist then the integral is convergent .

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) Whe...

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Q: 2. Find the area of the region enclosed by y = 3.5x and z 9-y. %3D 2- 1- 1234 5 6 7 8 9 -1 of Use ho...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: topic - functions and derivatives

Q: Question Find the derivative of f (x) = log, (4x* + 3x) at the point .x 1. %3D Enter an exact answer...

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Q: 11. Find the radius of convergence of the following power series. a. Ση! (r- a)". | b. Σ (x-2)" Vn² ...

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Q: 9) ſ cos“ x sin x dx X

A: topic- indefinite integral

Q: Determine whether the series converges. 1 A V5k – 1 k=1 O The series converges. O The series diverge...

A: 1 ∑k=1+∞15k-13let f(x)=15x-13By integral test∫1∞15x-13=lima→+∞∫1a15x-13dx=lima→+∞∫1a(5x-1)-13dx=lima...

Q: c. Evaluate the integral. 4 c3 4. S S(x² + 3xy²)dxdy

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Q: Watch the video on integrating an inverse trig function using trig substitution e before answering t...

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Q: Let f be function such that F(1)=6  and F'(1)=-11 Find h′(1) for the function h(x)=f(x)f(x) h'(1)...

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Q: If s(t) = 4t°- 6t-24t +8, represent the position of a particle traveling along a horizontal line. De...

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Q: Given: cos a=, sin B= , and a and Bare first-quadrant angles; find cos(+ B). -33/65 16/65 1/3

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Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for al...

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Q: I A man buys a motorcycle. There will be no maintenance cost the first year as the motor cycle is so...

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Q: O solve over all real numbers. 6. cotxsin2x = 5cotx

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: 5 - 4x² _dx 4. 3 + 2X

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Q: H.W Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, find, in the form x + iy: %3D %...

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Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: 2.5. Give an example of a bounded function f and an increasing function a defined on [a, b] such tha...

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Q: (s + 8)3J f(t) %3D

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Q: In each part, evaluate the expression given thatf(5) = 9, g(5) = -1,f' (5) = 18, and g' (5) = -9. %3...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: cot2 x – cos2 x = ________ cos 2 x sin 2 x sin 2 x cot 2 x sin 2 x tan 2 x cos 2 x cot 2 x

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Q: Find the exact length of the curve. X = 3 3D 글Vy (y-3), 9sys 25

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Q: dx sin (7x)[7-cot2(7x)]

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Q: 2х + 10 dx Evaluate 2(x – 4)

A: topic - indefinite integration

Q: 5. V3cotx + 2 = 3

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 2x) cos(x) dx

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Q: et dx Ve²x+49

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Q: Solve

A: We will find the graph corresponding to the Differential equation

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = E Σ ...

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Q: Evaluate: (2x + 1)3 dx by two methods: 11) let u = 2x + 1 %3D 12) Expand (2x + 1)³ Compare the resul...

A: Integration

Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x

A: Differentiation

Q: 3. [7 the graph of y = x3, on the interval [0, 1], is revolved about the Find the surface area of th...

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Q: A rocket is fired vertically upward from the ground. The distance 8 in feet that the rocket travels ...

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