3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6) f(x)=- [2,3] [-4, 4,-1

Q: 17. lim (2x+1) = 5 x-2

A: I hope the question is to prove that the limit is equal to 5.  The answer is in step 2.

Q: If f(x) = (cos(√) - In (x²))³, then f'(x) = 3

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Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

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Q: Find the differential equations for each family of curves under the following conditions: c)…

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Q: Find an equation of the tangent line to the graph of the function at the point (0,1). (a) y = ex…

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Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: Which of the following differential equation is (are) solvable by a method that requires a…

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Q: A There is no correct answer from among the given choices. differential equation by separation of…

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Q: answer

A: As per policy only first question is answered. Please refer to the image below

Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

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Q: We'll be analyzing the surface area of a round cylinder - in other words, the amount of material…

A: The roots of a quadratic equation ax2+bx+c=0 are given by x=-b±b2-4ac2a

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Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: In Exercises 13-22, find equations of the tangent plane and normal line to the graph of the given…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Determine the values of k such that the function below has an inverse function. (Select all that…

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Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…

Q: Q8) (E.G.) Let ABCD be a cyclic quadrilateral and let O be the intersection of the rays AB and DC.…

A: Solution

Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

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Q: Prove the following mathematical ?x аф -у, ӘӨ дz relationships: f sin 0 r

A: According to the Bartleby guidelines, I'm solving the first one, please repost the other question…

Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

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Q: 1. For each statement, determine if it is True or False and explain why. x²-4 x-2 =x+2 b. lim *-* =…

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Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: B. by factoring 1. x² + 7x = 0 2. m² + 8m = -16 3. x2 + 5x − 14 = 0 4. 2y2 +8y - 10=0

A: Topic = Quadratic equation As per guidelines , At a time only three sub-parts can be answered.…

Q: 1. t. Determine the order of each of the following differential equations, and state whether it is…

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Q: (30) -3≤x-3y≤6

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours…

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Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

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Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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Q: Só 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx+a=lnx+a+C

Q: For #27, evaluate each limit or state the it does not exist 2. lim x²-3x x3x2-x-6 3. lim x²-3x…

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Q: Solve 2log (√√x) -log(6x - 1) = 0. 1 A X=- 6 B 1 X=- 5 Ⓒx=5 D x=6

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Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: Find dy/dx for the following functions:- (2) y = v sinh Vtan x (4) y=2,u = 3x²-2 u²+1

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Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

A: Given that , F→x,y=9sinx2siny2i^-9cosx2cosy2j^      ......1 and the labeled points are P=3π2,-3π2 ,…

Q: 41. How close to -3 do we have to take x so that 1 (x + 3)4 > 10,000

A: See this solution in below.

Q: √ ¹ (1+√x)3 √x - dx

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Q: A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will…

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Q: xdx e-x + (Y+) dy уз = 0

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Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

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Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

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Q: 5. Let f(g(x)) = H and H = √√x² + 4 a. If f(x)=√x, what is g(x)? b. If g(x) = x2, what is f(x)?

A: f(g(x))=Hand H=x2+43

Q: Prove the identity. sin (x-y) cosx cosy tan.x - tany Note that each Statement must be based on a…

A: We can prove the given statement as per the example in the below steps.

Q: f f(x) = x²√Inx² x . find the derivative of this function f'(x) 1-In x² x²√√In x² A. f'(x) = B.…

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Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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