Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“ x dx c). Evaluate the integral dx (x – 1)(x + 4)

Q: Find the area Aof the region R bounded bounded the graphs of y2 − 4x = 0 and 2x − y − 4 = 0.

A: Given,           y2-4x=0 and 2x-y-4=0To find : Find the area, A of the region R bounded bounded the ...

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to th...

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Q: 5. y- Br*-+습

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Q: Draw a line to show how the white can escape from check ,don’t forget:move ,block or capture

A: We need to draw a line so that white can escape check.

Q: Find (f-1)'(a) for f(x) = ーX-3 when a = 3x +2 (Enter an exact answer.) Provide your answer below: ((...

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Q: How to solve the following ordinary differential equation (ODE) xy' – 2y + y² = x“.

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Q: 1. f(x) 16x? – 4x +5 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: Use the degree 2 Taylor polynomial for f(x) = x centred at a = 1 (from question 3) to find an approx...

A: Given is the question of taylor series expansion.

Q: Consider

A: Please refer to the image below

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: 4. The derivative of f(x) = ln x at x = 3 when hpresent = 0.001 and hprevious = 0.002. %3D 5. The de...

A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: dx Assume that x= x(t) and y y(t). Let y=? •1 and D2 when x 3. dt dy Find when x=3 dt (Simplity your...

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Q: Analyze ( find the relative extrema, inflection points) and trace the curve y = x3 - 3x2 - 9x + 5.

A: Given function f(x)=x3-3x2-9x+5

Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

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Q: 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r+1)...

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Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: +o0 E(-1)" n=2 n?

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Q: (2 cos 3w – sec 3w tan 3w)dw

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Q: (1+4er²)(3-e+²)x er2 dx

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Q: siny Given the integral S" S" dy dx, Sketch the region of integration, reverse the order of integrat...

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Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: (a) Graph the function f(x) = 1/x (b) Hence, using translations, reflections etc., graph 1 f(x) = -1...

A: We have to draw the graph of the given functions according to the given information 

Q: Write an equation for the line through center a circle (x2 + y2 + 4x+6y = 3) which make an angle) wi...

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Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: graphing calculator is recommended. Find the following, rounded to two decimal places. (Enter your ...

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Q: у 3 cos (4x — 19)

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Q: Question 1 Suppose the infinite series an is divergent. Then for any real number c, the series can i...

A: We have to choose correct option

Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t)= t° – t² - 5t. D...

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Q: Use the second partial derivative to Find the relative extrema OF the Function f (x, y) = x°t 2xy-6x...

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Q: 5xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, ...

A: We need to find volume.

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

Q: Two sides of a triangle have lengths 10 m and 15 m. The angle between them is increasing at a rate o...

A: rate of change in side

Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: i- graph and Rined Demain and Range for yz sin'x- 3 ーhn Hi-z+ 3x3-5 2. - graph apel find Df f Rf for...

A: 1. y=sin2x-32. limx→∞4x3-2x2+13x3-53. y=-5sin2x Note:      Multiple questions are given, we are answ...

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

Q: Change the Cartesian integral into an equivalent polar integral. 2 2 a -x 00 S SO dy dx = dr de 2 2 ...

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Q: The point P has coordinates (-1, 4, 11) and the line / has equation r = (i) Find the perpendicular d...

A: The perpendicular distance, ?,between a point ?(?,?,?) and a line with direction vector d→ is given ...

Q: After some thought, you have decided that you will need $60,000 each year to live on after you retir...

A: This is a problem related to simple interest calculation. Based on the general formula of simple int...

Q: (1-x+2x²-x³ -dx x(x²+1)²

A: NOTE: Refresh your page if you can't see any equations. . first, we need to use the partial fractio...

Q: tan x[cot x – cos x]dx

A: Here we can find the integration as below

Q: List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling Gi...

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Q: +o0 (-1)" n (a) ► n! n=1 1 (b) E -3 n - -n n=1

A: Find the limit of the given functions at infinity

Q: Maximizing Yield An apple orchard has an average yield of 36 bushels of apples per tree if tree dens...

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