556710 %3D 16

Q: Find the derivative of the function using the definition of derivative. g(x) = /2 – x g'(x) = State ...

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Q: За3 — 4а +2 7а3+5 lim

A: To evaluate:limx→∞ 3x3-4x+27x3+5

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: Consider IVP: y' = y² + t², y (0) = 1. Using Euler's method with time step h find y (2) . 0.5.

A: Euler's method yn+1=yn+h⋅f(tn,yn)where  tn+1=tn+h

Q: Consider the differential equation у" - у'- 30у 3D 0. Verify that the functions e-5x and e6x form a ...

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Q: 4х — 3, 0 < x < 3 - f(x) = 5, х? — 6х + 18, 3 <х x = 3 %3D use algebra to find each of the following...

A: We have to find limit and sketch the graph.

Q: Stadium has 52,000 seats. Seats so for $28 in Section A, $24 in section B, and $20 in section C. The...

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Q: Q1. x= [5, -3, –1, 2]" is a 4-dimensional vector. Calculate the following values: 1. the squared l2-...

A: Given 4-D vector: x=[5,-3,-1,2]T We have to find the Norms of the vector. Norm is the magnitude of t...

Q: 3600t The system of the population of a culture of tumor cells is given by p(t) Find and interpret l...

A: Given that: p(t)=3600tt+4

Q: Write a function based on the given parent function and transformations in the given order. Parent f...

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Q: The function f (x) is graphed below. How many points on the graph represent a relative extreme value...

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Q: Let f and g be functions that are differentiable such that: f(2) = 3 f'(2) = -2 f'(3) = -4 g(2) = 3 ...

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Q: Find the cartesian equation of the following: 6 1. r = 3-sin 0 2. r2 cos(20) = 4 %3D 9. 3. 4 sin(20)...

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Q: a The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where...

A: length of curve

Q: Example 2: Use the definition to find the derivative of the function Solution:

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Q: f(x) on the 2. Assume that f is twice differentiable. Prove that the curve y = xy-plane has curvatur...

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Q: 2 log, u - 3 log, 4 log, V -

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Q: Find the general solution of the given second-order differential equation. y" + 9y = 0 y(x) =

A: Given equation, y''+9y=0 It can be written as, (D2+9)y(x)=0, where D=ddx  

Q: 4. A student borrowed money from a friend at 5% simple interest to help pay for college tuition. At ...

A: Given, Final amount = $1365 Interest rate = 5% = 0.05

Q: The base if a solid is the region bounded by the graphs of f(x)=x^(2) and g(x)=18-x^(2). Find the vo...

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Q: According to Newton's law of cooling/warming, the rate at which the temperature of a body changes is...

A: Find your answer below 

Q: Q#3: a) Evaluate the following integralS sec®x dx by using the reduction formula of cosine. b) Expre...

A: Question no. 3a,Given,           ∫sec8xdx

Q: calculate the mass of the surface, knowing that the density at each point is proportional to the dis...

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Q: Calculate and at the points (7,41, 1) and (7, 41, – 1), where z is defined implicity by the equation...

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Q: Sketch the graph of a function f that is defined on R and continuous exXcept for the stated disconti...

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Q: (a) If G(x) = 5x2 - x³, find G'(a) and use it to find equations of the tangent lines to the curve y ...

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Q: Find the general solution of the given second-order differential equation. у" - у' — 20у %3D 0 y(x) ...

A: Given that: y''-y'-20y=0

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x+3x at x= - 1 The ...

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Q: 15 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the graph has a cubic behav...

Q: A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep...

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Q: The following statement is TRUE except A. Derivative is the same as slope. B. A function is continuo...

A: Given that: A. Derivative is the same as slope.B. A function is continuous at a number a if limx→a-f...

Q: CONCERTS Last year, a ticket provider sold 1350 lawn seats for a concert at $70 per ticket. This yea...

A: This year, the provider increased each ticket by $2 and sold 30 fewer tickets.To Find:a. How much sh...

Q: 3 24- dx (3— 4x(х + 1)

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Q: Evaluate the following limits. lim (x – 1)(x² +1) 2 i. x→ 2 6+4x ii. lim x→-3 x2+1 iii. lim 3x3 + 27...

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Q: A telephone line hangs between two poles at 12 m apart in the shape of the catenary y = 50 cosh ) - ...

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Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0, ...

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Q: Finding the length of the curve with parametric equations  x(t) = 3t2,  y(t)=2t3,  0 ≤ t ≤ 2

A: Given: - The parametric equations are, x(t)=3t2, y(t)=2t3, 0≤t≤2 To find: - The length of the curve ...

Q: an open box is to be constructed from a poece of cardboard 10 cm by 20 com by cutting squares of sid...

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Q: The derivative of the function y = (x² – 1)2 (x² + 2)³ is LA. 2x (x² +2)°(x² – 7) 2x (x² + 2) (x² + ...

A: As we know that; The Power rule: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f...

Q: 12. Ben’s Moving charges $100 plus $30 per hour to move a household across town. Pat's Movers charge...

A: Please refer to the image below

Q: Question 5 Find the ninety-ninth derivative of the function f (x) = cos(2x). O f(99) (x) = 2}00 sin(...

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Q: In this question, we will use the notations A, B, and C to denote the angular measure of the interio...

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Q: Consider the following equation. y = x4 + 9e* Find y'(x). y'(x) = Find equations of the tangent line...

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Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P&amp; Q is the fu...

Q: Evaluate the integral. 9. dx (36 + x²)3/2

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Q: Use the Trapezoidal Rule to approximate the given integral with n = 8. (Find T8.) Round your answers...

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Q: Questions: (2 points) Find the tangent plane to the surface of x? + 2² = y? + 9 at (1, – 1,3). 3

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Q: 2 50 = 50t Rint 204 Rint %3D

A: Solving the problem by finding the Rint.

Q: Evaluate the definite integral: (4x – 4) dz

A: Evaluate the definite integral

Q: Find the function y(t) whose Laplace transforms are the follow (a) 1/(s' -s-2) and (b) 2s/[(s+1)(s² ...

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