What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx - B) + C? (A) 1 B) 2 C) 0 D 3

Q: Pls show complete solution (c) Set up the integral which yields the area of the indicated region R…

A: We need to setup integral for area.

Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

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Q: Calculate the average rate of change for the function f(x) over the interval-1≤x≤3

A: Topic = Algebra

Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Topic:- application of integration

Q: o - 23 dy

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Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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Q: Ja cos³ 0 sin 20 de

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Q: d/dx(arctanh(2x)) 2XIn2 A. 1-4X 2x B.- 1-4X 2 In2 C. 1+2x 2x D.- 1-2x

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Q: Let S be the surface with equation (z - 4)² = 4x² + 4y². Viewing S as a surface of revolution, find…

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Q: Curve Sketching y = x3 - 4x2 - 8x - 5 Show your work to determine: the y-intercept and any…

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Q: 3. Find a vector equation of the line that.... a) passes through (-3,5,-2) and (7,-3,1) 2+6 c) is…

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: Solve the first order linear ordinary differential equation x sin x dy dx + (sin x + x cos x) y =…

A: Here, the given DE can be written as: xsin xdydx+(sin x+x cos x)y=xex⇒dydx+sin x+x cos xxsin…

Q: Solve the differential equation using inspection method d'y d³y = 24. dx5 dx³

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Q: Given: planes II₁ : 2x - 5y + z = - −1 and II₂ : x + 5y + z = 5 intersecting on a line l (c) Give a…

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Q: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

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Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

Q: Consider the function f(x) = x² - 9x + 20 x - 3 a. Find the first derivative. f'(x) = b. List any…

A: We have to find the derivative and monotone intervals.   According to our guidelines we can solve…

Q: 4. Evaluate the following triple integral. [ƒÃƒ‚²‚x² sin y dy dz dx .

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Q: measured each day for several days. Suppose To test an individual's use of a certain mineral, a…

A: The amount of the mineral remaining in the bloodstream t days after the initialinjection is…

Q: If sin 20 = √3, 0≤ 20 ≤ 2π, calculate the values of

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Q: draw and identify the graph of the following surfaces a. z = √9-y²

A: Given

Q: 43. Evaluate: (2ex - 4x) dx A. 2ex - 4x + C B. -2ex + 4x + C 4x C. 2ex + C In 4 4x D. 2e + + C In 4

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Find the derivative of the function. 4 24 y=. VF X X

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Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: c) 3,-1, -3, 3, -9, -27, ...

A: If the difference between two successive terms of a sequence is constant, then the sequence is…

Q: i can't understand your solution

A: We have to explain the solution.

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The objective is to find the slope and equation of tangent line.

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: Let A = (–3, −5, 1), B = (–5, −10, −1), C = (–5, −5, −5), and D = (–3, 0, -3). Find the area of the…

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Use integration by parts and substitution method.

Q: (b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy +…

A: We have to find the general solution of the given differential equation using variation of…

Q: Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

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Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: 18. A radioactive substance decays exponentially: The mass at time is m (t) = m (0) ekt, where m(0)…

A: Concept: Mean life of a radioactive substance: The average life of all of the nuclei of a positive…

Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: Suppose the consumption function for a particular country is c(x), where x is national disposable…

A: This question can be solved using the concept of differential equation.

Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

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Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

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Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

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Q: PRECISE DEFINITION OF LIMITS Video Example: Use the precise definition to show that limx→2(x² + 3x)…

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Q: Find the value of that will make the function ƒ(z) continuous everywhere. f(x) = 4z + k, -5 0 =…

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