Find the derivative of y y = log2s e-logs√x (-x-1)/(xln5) ○ (x-1)/(xln5) (x-1)/(2xln5) ○ (-x-1)/(2xln5)

Q: Given f(x, y) = -x-6x²y²+ 3y3, find 22 fx(x, y) = fy(x, y) = for(x, y) fry(x, y) =

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Q: Find the area of the region bounded by the graph of f(x) = x², the x-axis, and the vertical lines x…

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Q: MATH1274 Assignment #6 1) a) Evaluate the following definite integrals: S = 2x (4-x³) αx -2 dx b) 4…

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Q: a) A conical water tank (with the tip facing upwards) with a radius of 1 meter and height of 3…

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Q: Clear answer pls, thank you! :)

A: Step 1:To find the absolute value of the sum of the lengths AB+AC+AD+AE+AF in a regular hexagon,…

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A: To find the vector projection of vector x onto vector y, we'll use the formula:projy​(x)=(x⋅y) /…

Q: Hello, how do I simplify factorials? For example: n!/(n+100)!

A: We can simplify the factorial by expanding the  and canceling the common terms:  lets simplify the…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: ☐ ☐ 1. Approximate the following integrals using the trapezoid rule. (Round answer to three decimal…

A: 1).ans:- method  We can follow below steps to find the solution: i). Calculate the width of each…

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Q: Practice

A: Approach to solving the question: Detailed explanation:A. Vector m = 2k - fGiven vectors k = (2,1)…

Q: Question 3 The following are the abridged financial statements of Moon Ltd ("Moon") and its…

A: Step 1:Moon Ltd acquired the 360,000 ordinary shares in Yodo Ltd at the cost of N$400,000. This cost…

Q: Please help me w this question, thank you, full solutions.

A: Step 1: Represent the airspeed and wind velocity as vectors:Airspeed vector: 500 km/h at a heading…

Q: 7) Two residential buildings are to be constructed with a grassy recreational area between them. The…

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Q: Given the function f(x) = cos(5x), compute the right-endpoint (Riemann) sum using n = 3 on the…

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Q: Use the substitution u = √(x) to calculate the indefinite integral from image.

A: Given:∫x​+x​3dx​First, we need to simplify the denominator, we have:=∫x​+(x​)2x​1​dx=∫x​+xx​1​dxWe…

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Q: sinhx In (x + √√x² + 1), cosh x = In (x + √√x² + 1), tanh x = In 1+x x x≥1 |x| 1 x sech1 x = cosh…

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Q: Find the length of the dashed zig-zag path in the following figure. 0.75- 0.5- 0.25- A 0 0.25 0.5…

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Q: coth-1 x = tanh 1 x 1 x Prove mathematically that the right-hand side is equal to the left-hand side…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

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Q: Find the absolute minimum value of f(x) = 7 x² - 10 x + 10 on the interval [0, ∞). Note: You need to…

A: The given function is: f(x)=7x2−10x+10 The restricted domain of the function is: [0,∞) Let us recall…

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Q: Let C is the line segment from (0, 0) to (2, 1). Then ydx + xdy is 2 01 0 None of the above.

A: Step 1:Step 2:Step 3:Step 4:

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Q: Evaluate the definite integral. π/3 ³ sec(t) (tan(t) ° sec(t) (tan(t) + sec(t)) dt = Hint: First…

A: Step 1: Simplify the given integral :∫03π​​sec(t)tan(t)+sec2(t)dtStep 2:Seprate the single integral…

Q: Find the value of x using hyperbolic function formula.

A: Step 1:We know that, sinhx=2ex−e−x​, coshx=2ex+e−x​. Step 2:Using these, we have  3sinhx−2coshx−2=0…

Q: 4. 8

A: Let's assume t=e4x−4x, which implies dt=4(e4x−1)dx.So, our integral becomes:41​∫t2dtNow, integrating…

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Q: LET F(x) = f(x8) AND G(x)=(f(x)) 8 F(a) = 3 F'a = 7 F' (a 8) = 4 a 7 = 11 FIND F' (a) = 7 AND G' (a)…

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Q: Answer without referring back to the text. Fill in the blank. (Enter your answers as a…

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Q: 3.4

A: Step 1: Ratio Test:The Ratio Test states that for a series ∑a_n​, the limit L as n approaches…

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Q: Calculus A lighthouse that is 5 km from the shore is rotating at 2 revolutions per minute. Calculate…

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Q: Find F(-4) and F(4).

A: Step 1:Given that, f(t)={41​t2t2​​ifif​−4≤t<00≤t≤4​  F(x)=∫−2x​f(t)dt.  Only need to find F(-4)…

Q: Approximate the area under the curve graphed below from x = 3 to x = 6 using a Left Endpoint…

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