Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic function Trigonometric function

Q: d) y = 21+1 31-2

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Q: Give the solution for Product rule, quotient rule, general power rule 5 8-ax y = 8 + ax/

A: Here we have to use the product rule, quotient rule and general power rule.

Q: 9. 5²-2 dz 10. fdx

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Q: For a battery of voltage V and internal resistance r, the total power delivered to a load with…

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Q: Given w = xe¯ª + ln(x²yz³). Determine δω ?х ?w dx 2 = -xe tết xyz³ dw = xe¯* + 1 + 1²/12 8x dw…

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Q: The Shroud of Turin, which shows the negative image of the body of a man who appears to have been…

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Q: What is the limx→5 5x + 2? 3 5 1 27 1 3

A: To evaluate: limx→5 5x+23 Let y = limx→5 5x+23 y = limx→5 5x+213

Q: f(x) = (2x - 3, if x = 2 # 3, if x = 2 12x 3,1

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Q: 3. A 5-pound monkey is attached to a 20 ft hanging rope that weighs 0.3 lb/ft. the monkey climbs the…

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Q: 3. find the derivative 513.5+412.52¹.7 lt Enter your answer

A: Taking derivative of the function with respect to t and using power rule of derivative gives the…

Q: For the following exercises, draw a typical slice and find the volume using the slicing method for…

A: Follow the procedure given below.

Q: On the graph of the function f(x), shown below in blue, choose whether there are zero, one, or two…

A: Horizontal asymptote

Q: How do you evaluate this integral using trigonometric substitution?

A: Here x2 -a2  type we use trigonometry substitution by x=a sec(θ)

Q: x²-3 (x-1)² Analyze and sketch the curve given by f(x)=- 2(x-3) (x-1)³ · if y'=—- and y"= 4(x-4)…

A: Given

Q: 3 f(x) = x³ + 2 right left [-1,1] n = 2 9=1 & middle hand rule b =

A: find out the left, right and mid riemann sum.

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

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Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: f denotes piece wise function .  Identify the interval where function is concave down

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: Evaluate the following integrals: 4T Vcsec 0 de 0

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Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: d- dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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Q: 2. find the derivative 725 - 2z² - 3z + 12 Enter your answer

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Q: An inverted conical tank is being filled with water at the rate of 2ft3 per minute. If the tank has…

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Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: using the guide below Analyze and sketch the curve (x) = (x-1)² A) Domain, intercepts, asymptotes,…

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Q: Find the indicated partial derivative. f(x, y, z)=euz²; fzyz fxyz(x, y, z) =

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Q: For the function y = (x - 2) lnx, what are the two x intercepts, and between the two intercepts, is…

A: The given function is y=x-2lnx. For x intercepts we take y=0 and then we solve for x. If y''(x)>0…

Q: Sketch an angle 0 in standard position such that 0 has the least possible positive measure and the…

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Q: Ⓒ Differenitale y = √3x-7 X

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Q: 4. find the derivative 4v².4+ [7v¹.5-3v-2 Enter your answer

A: Given  Let y= (4v^2).4+(7v)^1.5 - 3v -2 y= 16v^2 + (7v)^1.5 -3v -2 Formula: (d(x^n)/dx) = n(x^(n-1))…

Q: The temperature of a room in degree Celsius is modeled by a differentiable function T(x) where x is…

A: We need to choose correct option.

Q: Solve the following. 1. Find the volume generated by revolving the first-quadrant area bounded by…

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Q: Find the area of the region bounded above by y = x³ + 1 and below by y = x + 1. 3 2.5 2 1.5+ 3.5…

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Q: A ball is thrown eastward into the air from the origin. The initial velocity is (50, 0, 80), with…

A: Solution  As per given data, Initial velocity 'v'=(50,0,80) Acceleration vector 'u'=(0,-4,-32) As…

Q: 6. DETAILS ZILLDIFFEQMODAP11 1.2.009. MY NOTES ASK YOUR TEACHER In this problem, x = C₁ cost + c₂…

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Q: Considering a continuous function f(x) = 2e³-¹ – 2x, which is true about the relative extrema of f?…

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Q: b. S sin (3x) cos¹ (3x) dx

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Q: Suppose you make napkin rings by drilling holes with different diameters through two wooden balls…

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Q: b) Suppose to i that and V х-у Calculate the x and and y by and Jacobian ð (u, v) 2 (x, y) hence…

A: Suppose that x and y are related to u and v by…

Q: What is the equation of the tangent line to the curve y = x^ + 2x? −x+8 +2x2 where x = 1? y = 7x - 3…

A: Let's find equation of tangent line.

Q: Expand and simplify. 3(2y-3) 2(4y-1)(4+1) Factor: a. 3x² + 16x-12 b. x²-y²-6y-9

A: We will solve all 3 subparts in the following steps.

Q: Graph the parabola. y=x+2x-2 Plot five points on the parabola: the vertex, two points to the left of…

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Q: [C (sec 9x + csc 9x)³ dx

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Q: Evaluate: (e5x + x4) dx A. 5(e5x+x5) + C B. (e5x+x5)/5+C

A: answer is in next step

Q: Find an equation for the ellipse whose vertices are at (-1,-8) and (-1,0), and focus is at (-1,-1).…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

A: We are asked to find the area of the region

Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the…

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Q: does xy=4 describe y as a function of x?

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Q: For sketching the function y = determine the following x-intercept y-intercept vertical asymptote…

A: Function details