Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

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Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

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Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

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Q: Let f(r) = 5I + 2. Using the definition of derivative at a point, a. enter the expression needed to…

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Q: 5. S 2x' dx 6. S*-5x* dx x3

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A: Let's find.

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Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: For what values of x in [0, 2T does the graph of f(x) = x + 2 sin x have a horizontal tangent? List…

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Q: Find the average value gave of the functiong on the given interval. g(x) = 3x, [8, 64] gave %3D

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: 9x² = 164 -8y² + 36x + 64y

A: The given equation is: 9x2-8y2+36x+64y=164...(1)

Q: Problem 4. Which gives the inverse transforms of the given s-domain function 1.88sin 2.67t -…

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Q: marginal cost of a product is modeled by dc 16 dx 16x + 7 vhere x is the number of units. When x =…

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Q: 2. A triangle is inscribed in an ellipse whose equation is 9x? + 16y? - 216x- 320y+ 2320 = 0. One…

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Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 2. Given f(x) = x' + ax² + bx has critical numbers at x=1 and x=3, find a and b. .2

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Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

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Q: the integral dx Va? – x? e may use x- educe the integral to a sine and dx= a cose de substitutions…

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Q: Evaluate: S Vx(x - 5)dx

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Q: 3. Sx Vx? – 4dx 4. S(2 – sin 4r) dr 5. S cos x sin? x dx

A: LetI=∫xx2-43dxPut x2-4=udifferentiate 2xdx=duxdx=du2I=∫xx2-43dx.I=∫u32duTake the constant out:…

Q: Q10. For the function f(x, y) = x³e³y_find the maximum value of its directional derivative at the…

A: Here, f(x,y)=x3e3y⇒∇f=∂f∂x,∂f∂y=3x2e3y,3x3e3y⇒∇f(1,0)=3(1)e0,3(1)e0=(3,3)

Q: Which of the following formula is used to get the the equation of the slope of a line tangent to a…

A: Given query is to find the correct option for the slope of the tangent.

Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

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Q: (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

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Q: Describe the graph of the equation. (8 – 21) i + 13rj r = O It is a plane in 2-space through the…

A: I have appended the formula used in the solution part.

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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Q: Q15. Find the Maclaurin series representation for each of the following functions. For each series:…

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Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis &amp; our topic is uniform continuity .

Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(x)

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Q: Find the first four terms in each portion of the series solution around xo = 0 for the following…

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Q: 0. xe-4x dx 1 dx x(ln x)3 4

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Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

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Q: Find the arc length L of the graph of r(t). 1 r(1) = r} i + t j+ Vor² 2<t< 5 L =

A: We need to find arc length.

Q: dy Q4) Find for the following functions dx 1. y = 2x + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t =…

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Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

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Q: Find the area of the shaded region. V2 y = csc e cot è 0- 3x - 2

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Q: Compute the composite functions fog and gof and discuss their domains, where f (x) =vx, g(x) = 1 –…

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Q: 4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

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Q: 3. At 2:00P.M, a thermometer reading is 80°F is taken outside where the air temperature is 20°F. At…

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