df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

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Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

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Q: 10) In an aquaculture, the amount of bacteria doubles every 7 minutes. If the amount of bacteria…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

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Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

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Q: Use the following information to answer the next question The following five statements, numbered 1…

A: Explanation of the answer is as follows

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 ( 1y – x2 )dx + xdy…

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Q: Problem 7. Find absolute extreme values for f(x) = ³ − 6x² + 5, x € [1,5].

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Q: 6. Find the Laplace transform of each convolution using the theorem C{f*g}=F(s)G(s). a) C {t³ * est}…

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Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: 4 5 5 Let A = -1 -1 0 4 6 Use determinants to decide whether the matrix is invertible. Enter the…

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Q: 22 Determine if lim(x,y)→(0,0) x²y² 2X4+Y4 exist

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Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.2x + 35,  find…

A: Topic:- application of integration

Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

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Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: For Item #8 - 9: The population of a certain type of animal increases according to the logistic…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

A: A tumor in a person's body has a spherical shape and that treatment is causing the radius of the…

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

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Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: Oppgave 1 Regn ut integralene (dersom de eksisterer). Sre [x² x cos(x) dx S In(x) dx x7 15 1/√ √…

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Q: Nx - My M If = Q, where is a function of y only, then the differential equation M + Ny' = 0 has an…

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Q: The inverse Laplace transform of H(s) = + (t) ==²e²+e-²t 8 1 " (3s+2)(S-2) b) f(t) ==e+e-2t -3 d)f…

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Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

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Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: Let r(t) = Find fr(e) de (don't include the +C) fF(t)dt = < [

A: Given,  r→(t)=-4t4-3,-4e3t,-2sin(-t) ∫r→(t) dt =∫-4t4-3dt,∫-4e3tdt,∫-2 sin-tdt

Q: Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any…

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Q: Find the upper Riemann sum U(ƒ,P) and the lower Riemann sum L(f, P) for each of the following…

A: Given :P :=0&lt;14&lt;12&lt;1 be a partition of 0,1f(x)=1+x,0≤x&lt;191-x,19≤x&lt;141+x314≤x≤1

Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: To find the value of y , first, we take the logarithm on both sides of the given equation and then…

Q: Find (fog)(x) and (gof)(x), given that f(x)=8x +9 and g(x)=7x-1. (fog)(x)= (Simplify your answer.)…

A: Topic:- function

Q: i) Consider the double integral I = -ff₁₂² Le e²² dx dy. y/3 Draw the region of integration then…

A: Given problem:-

Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: 12. A pie is re take the p

A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

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A: We need to find time.

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

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Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: We can solve the given problem by using the variable separable method.

Q: E) If F(x, y, z) = 3x²i + 3zj - 3xk find the Div (Curl F). 0/0 0/0 0/0= az any jaz V-Vx3 = 0₂ 17 Pue…

A: First we find curlF .

Q: 1. A man 6ft tall is walking toward a building at the rate of 5ft/sec. If there is a light on the…

A: Concept: The similarity of triangles: Two triangles are said to be similar when they are of the same…

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

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