A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

Q: What is y = sin (xy)

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Q: dx = 5x - 3y dt dy - 2x - 14y dt It is converted into the matrix (we will talk about this in lesson ...

A: Let's find.

Q: One of the following series is convergent. A) E-1(-1)" 21 3n+1 100 2n B) E1(-1)" 3n+1 C) (-1)" 100 3...

A: We have to check whether the given series are convergent or not. To check convergence we use Alterna...

Q: sin(ln x) r→0+ In(sin x) Use Squeeze Theorem to evaluate lim

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Q: y + x²–x = 0 x² + 2xy +y = 0 X-

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Q: Find and sketch the domain of the function. f(x,y) = Vy-5x- 6 Find the domain of the function. Expre...

A: We have to find and sketch the domain of the function 

Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: Use the formula for the binomial series: m(m-1).(m-k+1),k + ... m(m-1). 2! (1+ x)" = 1+ mx + = 1+ E=...

A: Put m=-3 in binomial series. And follow step 2nd . 

Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis...

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Q: In Exercises 15-22, find the inverse of each elementary matrix. 15. 16. 1 0 0 O 0 17 17. -2 0. 18. 1...

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Q: Convert the point (-1,-V3) from Cartesian to polar coordinates. A) (-2,) B) (2.). c) (-2, ). D) (2,)...

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Q: following

A: We will find the value of the integral

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

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Q: dx The integral / can be re-written as 1- x (A lim (2 - 2 V1-m ) m-- 00 B lim (-2 + 2 V1–m ) m-- 00 ...

A: ∫-∞0 dx1-x

Q: Evaluate the following integral : S (sec X + cot X)² dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 9 - x xp

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Q: 1 1 1 2 4' 8' 16 32 ' 64' 128 1 1 1 The sequence {1, } а. converges to negative one. O b. diverges C...

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Q: 10 (x. What is the appropriate formula? Given: @ 3 fa"du 2 B) Sa" du © Sa"du D

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Q: y = 3Vx, y= 20 – 2x.

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: Determine whether the alternating series converges. 7ln k k k=3 O The series converges. O The series...

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Q: The integral: 2nx coS x dx represents the volume of a solid obtained by rotating the region: A) 0Sys...

A: We have to find the region that is rotated.

Q: For j(x) = (2x² – 1) (-3x³ + 2x), find j'(0) by applying the product rule. %3D

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Q: Consider the function f(x) = /4-x +1 for the domain (-00, 4]. Find f(x), wheref is the inverse of f....

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Q: II. find an explicit solution of the given initial value problem using separation of variables. 5. x...

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Q: .3 T || f(r, e) r de dr Jo 0.

A: Solved below

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Question Let f(x) = 5 - 3. Calculate the arc length of the graph of æ = g(y) over the interval æ 2 t...

A: Given that fx=x5-3 To find : Arc length of graph x=gy  over the interval x=2 and x=5Solution :fx=x5-...

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

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Q: Find the general term of the sequence, starting with n 1,determine whether the sequence converges, a...

A: We have to start with n=1 to make given sequence. we have to find an and limit value

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Limit comparison Test : Suppose ∑ak and ∑bk be two positive term series and        L =limk→∞|akbk| I...

Q: Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞...

A: The given function is: g(x)=3xx-6&limx→∞g(x)=3

Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: F(x) = (-1)". n3n n=1

A: Given series ∑n=1∞(-1)nxnn3n

Q: The figure below shows a sector of a circle with central angle 0. Let A(0) be the area of the segmen...

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Q: Let R(x), C(x), and P(x) be, res pectively, the revenue, cost, and profit, in dollars, from the prod...

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Q: Determine whether the alternating series converges. 7ln k (- 1)*- k k=3 O The series converges. O Th...

A: We have to check weather the given series is convergent or divergent.

Q: Find the derivative of the function. f(e) = (3t + 18)2/3 2 f (e) = 3/3t + 18

A: Topic:- derivatives

Q: Some birds fly more slowly over water than over land. A bird flies at constant rate of 6 km/h over w...

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Q: On a particular lake, the difference between high and low tide is 6 hours. At low tide, 6 a.m., a st...

A: Answer is in step 2.

Q: 3. A particle is moving with the given data. Find the position of the particle. a(1) = 3 cos/-2sint,...

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Q: The region R shown below is bounded by the x-axis, the y-axis, and the curve given by the parametric...

A: We have to write the integral expression

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Then find the length of the indicated portion of the curve. r​(t)=3e^t cost I+(3e^t sin t) j−3e^t k​...

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Q: naximum revenue, and 5. Determine the net change and the average rate of change for the function f(t...

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Q: (a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the intere...

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Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a tab...

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Q: an object is traveling on a path of y=sprt(x+3) where will the object be closest to (2,0)

A: We have to find the closet point to (2, 0) 

Q: lim Example 21. x → 0 Jx + a - Va: |

A: see below the answer and calculation

Q: The owner of a ranch has 2800 yards of fencing material with which to enclose a rectangular piece of...

A: topic-  area and perimeter of rectangle