Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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Q: 1. sin 0 =

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Q: dy 1- y}

A: Given query is to find the value of the integral.

Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: Differentiate the following using logarithmic differentiation y = x=

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Q: If f) = x*/x³ ++2 then 13x + 20x 2Vx +2

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Q: The arc y = x² from (0,0) to (2, 4) is rotated about the y-axis. Find the area of the resulting…

A: We want to find surface area

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

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Q: S V9x² + 64

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Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: To find the distance AB across a river, a distance BC 1226 m is laid off on one side of the river.…

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Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

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Q: Calculus The sales in thousands of a new type of product are given by S(t)= 260-90e-0.2t, where t…

A: Topic:- application of derivatives

Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

Q: Vcsc² 0 – 1d0 [In (sin 0)]² + 23

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Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. Find the…

A: A detailed solution is given below.

Q: Find the equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

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Q: 12 (25x – 46x' + 3)dx J-12

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Q: e equation (2 cose – 1)(3 + tane) = 0 over the interval [0, 27]. solving for trig functions,…

A: We will solve the equation.

Q: 2- A radio station conducts a poll about gun control. It invites listeners to call one phone number…

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Q: Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x² – 3x + 8…

A: Here We have to use the definition of the derivative.

Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

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Q: oncentration of a medication in the bloodstream t hours after injection is c(t) = 3t²e¬ the maximum…

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Q: Solve 6+ 3+ ニ 2-t-26 3-7++10 +

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Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

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Q: Determine using the giveti graph if the function f is contimuous on the following intervals: EXAMPLE…

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Q: S cot5 x dx

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Q: Calculate the following derivative if f(x) = 5e* - x³. %3D (Use symbolic notation and fractions…

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos(0) do 1

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Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: (2, 4) y = 2x ng a vertical element of area, he area of the shased region is gven by the integral

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Q: Calculate the limit of the following recursive sequence ao = 1 an+1 = V1+ an Hint: Prove that an is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q2/A) Find the particular solution for the following D.E., the boundary condition is (y-0@x

A: The given equation is dy=ex-ydx.

Q: alyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of…

A: We are allow to solve one question and 3 subpart only at a time. If you want rest of solution please…

Q: dy (1- y)

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Q: 3. Find the binomial series for (1+x)

A: On demand Question third is answer

Q: Find div F and curl F if F(r, y, z) = xz°i+ 2y°x²j+ 6z²yk div F= 2° + 16 y' x + 12 z Y curl F=

A: Given F(x,y,z)=xz6i+2y8x2j+6z2ykTo find div F & curl F:

Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

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Q: Find div F and curl F if F(x, y, z) = xz°i + 2y°r*j+ 6z*yk. div F=2° + 16 y' x+ 12 zy curl F=

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Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

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Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" n + 2 n = 0…

A: Alternating series test:∑n=0∞ (-1)nn+2an=(-1)nn+2bn=1n+2limn→∞1n+2 =0and bn+1-bn=1n+3-1n+2…

Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

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Q: t3 – 7t2 + 16t –- 12 t4 – 4t3 + 4t² 5. lim t2 w? – 4w + 1 6. lim w-00 3w2 + 7w – 4

A: limt→2t3-7t2+16t-12t4-4t3+4t2

Q: Determine the convergence or divergence of the series. (If you need to use

A: answer is in next step

Q: Find the area inside the oval limaçon r=7+3 sin 0. The area inside the oval limaçon is (Tuno uor…

A: we have to find the area.