In Exercises 7–12, find the indicated derivatives. dr 8. if r= s - 252 + 3 ds

Q: Vx3+V4x+8 dx 2 vä ( \x²)

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Q: Show all your work 1. (a) a s} Sketch the region bounded by the graphs of y-Va-1 and y a-1 on [1,2]....

A: This question is based on washer method. V =  π∫ab [{R1(y)}2 - {R2(y)}2]dy

Q: The position of the particle at time t is given by s(t) = ? – 16t + 63. The particle is moving from ...

A: ThepThe of the particle at time t is given by s(t)

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

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Q: Evaluate the Integral dx 4. S V1-e-2x

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Q: sin( + 0) - cos( + 0) = %3D cos 0 sec Ө CSc e sin 0

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Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices

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Q: 3. Find the derivative of the following functions using the increment method. (10 pts each) 6- 3x 1 ...

A: a f(x) = 1/2-x now using increment method f'(x) = limh→0 [f(x+h) - f(x)]/h f'(x) =limh→0 [1/ 2-(x+h)...

Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: Solve for B in the given partial fraction: a4-15a-32a2-12z-14 (z+1)(-2)(x+3)(+2) + + + (CE November ...

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Q: A Geometric Series is the sum of an infinite terms that the ration of two consecutive terms is a con...

A: We need to prove the following geometric series by induction:1+r+r2+r3+...+rn=rn+1-1r-1

Q: If s(t) = 4t3 – 6t² – 24t + 7, represent the position of a particle traveling along a horizontal lin...

A: Here is the solution

Q: Find the local linear approximation L(x, y) to f(x, y) = x^3y^5 at P(2, 1) and simplify. (b) Find th...

A: Here, the given function is: f(x,y)=x3y5 and the given point is P(2,1).

Q: Solve the following equation; domain 0osx < 360°; 3 cot x + V3 = 0 O 120 240 60 300

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Q: Solution of ODE: Find the solution for the following ODE y' = 2y O y = ce2r O y = 2ce"

A: Topic - differential equation 

Q: dx 5. f xV16– 9x2

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

Q: Determine whether a given function is homogenous or not homogenous: 1. f(x,y) = sin x 2. f(x,y) = x...

A: Since there is a mistake in third question i do first two question as per our company guidelines ple...

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then sketc...

A: Given query is to find the equation of the tangent at given point.

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

Q: 4. J (sin t + cost t) dt A - cos t+ sin t + C - cos t- sin t + C cos t+ sin t + C cos t- sin t + C O...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t me...

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta. Velo...

Q: A function f has a removable discontinuity at x = c if limf(x) exists by f is not continuous at x = ...

A: Here, the given function is: f(x)=x-2|x|-2 So, function is not defined at x=2,-2

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t³ – 10t...

A: s(t)=3t3-10t(a)  v(t)=s'(t)=9t2-10       substitute t=1    v(1)=9(1)2-10          =9-10          =-1...

Q: 5. Evaluate the integral JI. dA, R = [-2, 4] × [1, 3]. R

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Q: a. Determine the points where the curve 2x + 4y² - y = 1 has a vertical tangent line. b. Does the cu...

A: 2x+4y2-y=1

Q: = - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate tan 29 24/5 24/7 12/13

A: Here we will find tan2θ,

Q: 2. Use parametric equations to derive the formula for the lateral surface area of a right circular c...

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Q: If s(t) = 2t-3t2- 12t +5, represent the position of a particle traveling along a horizontal line. De...

A: Let's find. 

Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

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Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t me...

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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: Give the r-coordinate of a point where: A. the derivative of the function is positive: a = B. the va...

A: * The derivative of the function at a point represents the slope of the tangent at that point. A.) T...

Q: How

A: We will find the solution. 

Q: ) y= tanx+ sin x 0<x<27 (k) y=sinx -2n Sx< 2n

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Q: Calculate the integral approximation S12 for Si dz. 5+1

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Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)...

A: The given problem is solved below in detail.

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: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

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Q: Use any method to determine whether the series converges or diverges. Σ k° + 8 k=1 O The series dive...

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Q: Calculating pressure-volume work A mixture of nitrogen and neon gas is expanded from a volume of 90....

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

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Q: (х? + 2х + 3)(5—х) 10. g(x)= Зх + 2

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Q: A soccer ball is kicked from the ground with an initial speed of 19.4 m/s at an upward angle of 46.7...

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Q: 2.2 If fe R(a) on [a, b] and if Saf da prove that a must be constant on [a, b]. = 0 for every f whic...

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

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Q: Use substitution method to prove step-by-step that (PAQ)A(P = -(QAR))A(S = R) = -S.

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

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Q: A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t ...

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