Use logarithmic differentiation to find the derivative of the function y = 7x"(#), where r (x) = 8x . Enter the value of r (2) in the box below and upload your work in the next question.

Q: Use cylindrical shells to find the volume V of the solid. The solid torus (the donut-shaped solid sh...

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Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: 13. Find the solution set of a) |6x – 13x - 5|| = 2x b) 14x 1| > |2x + 3| + 1 c) |2x² – 3x – 4| < 5 ...

A: Discuss all cases and solve it. 

Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: 2. Parabolic tangents and peculiar perpendicularities! a. Let la and lo be tangent lines to the para...

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Q: 2t es the given condition; r' (t) =i+ te-t"j - =k;r(0) = i %3D t2+1 Vt2+4

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Q: 6. S 5e-6x dx 25 +e-6X + 22-2x ) dx *)dx 8. S sec(6x)tan(6x) 9-4sec2(6x)

A: You have asked multiple questions and not mentioned which question answer you need, so according to ...

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: Question 5 dy in terms of x. de 5. Given that y =u² - 4 and u=x +1, find dy dy du hint du de d du dx...

A: Topic:- derivatives   

Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the ...

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Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), - π/27<x< π/27 y y 3 3- ...

A: Here, to sketch the region bounded by the curves y=tan (9x) &amp; y=2sin(9x), -π27≤x≤π27

Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: sec x dx Vcot x 2.

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Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

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Q: 1. Complete the following tables of values to investigate lim(x´ – 2x+4). f(x) f(x) 1.6 0.5 1.35 0.7...

A: Here we have to find the limits of the given functions.

Q: Evaluate: O-0.05+j0.602 O -0.05-j0.602 O 0.05+j0.602 0.05-j0.602

A: To find: jjjj We'll use the formula: j=ejπ2.

Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

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Q: 24. Find the limit using the L'Hospital's Rule. a) lim x+0 (e2k-1) Inx b) lim X+0o x

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Q: Factor the difference an+1 a, to show that the given sequence {an} is strictly increasing or strictl...

A: an+1= (n+1)/(16(n+1) +9)        = (n+1)/(16n + 25) an  = n/(16n+9) an+1 - an =(n+1)/(16n + 25) - n/(...

Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10...

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the ...

Q: Use sigma notation to write the Maclaurin series for the function. 2cosh x (2k)! 2 (2k)! (2k)!" 24+1...

A: Given : f(x) = 2coshx

Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: A man that is 6 feet tall walks towards a light that is 20 feet above the ground at a rate of 5 feet...

A: Given:      Height of man =6 feet     Height of light =20 feet     Rate of walk by man dxdt=5 ft/sec...

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x...

A: To determine the intervals on which the graph of y=fx is concave up or concave down, and to find the...

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: 6 state if a power function. If so, write it in the form f(x) = kx". If not, type N for k and p For ...

A: To solve the following problem

Q: ·를 sin' X V cos x

A: This question is related to definite integration, we will solve it using given information. 

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: sec x dx 2. Vcot x

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Q: sin x dx 2- cos²x CoS

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Q: Given cost and price (demand) functions C(q) = 100q + 43,000 and p(q) = - 2q + 880, what profit can ...

A: Given :cost price (demand) functions C(q)=100q+43000 andp(q)=-2q+880, company earn by selling 50 ite...

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = sin-1 x

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Q: Find the numerical value of a) sinh Cen 4) b) sinh (1

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Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: (2x -y+2)dy + (x-2y +4)dx =D0

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Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find d...

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: 2. Complete the given 2 sets of tables of values to investigate the limits of a function. lim f(x) i...

A: To complete the given 2 sets of tables of values to investigate the limits of a function. limx→3 fx ...

Q: Alice rents a place in Cornelia Street and saw a paper on her desk. It says, "The product of two pos...

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Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: sec(Vx) tan(Vx) dx

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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