Q5)-Solve the following a)- 3|4x-1| ≤ -9 (draw)

Q: Find the exact sum of the following series 8 (0.25)" (0.25)³ (-1)-1. n n=3 (0.25)4 4 + (0.25)5

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Find the curl of the function G = (xcosy)i + xy² j. (y² + xsiny) k ○ (y² + xsiny) î ○ (y² - xsiny) î…

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Q: Let Ln denote the left endpoint sum using n subintervals and let Rn denote the corresponding right…

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Q: 1 3 The x value(s) of the points where the tangent lines to the curve ³-4x that have a slope equal…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded the curve and…

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Q: Determine whether the given set of functions is linearly independent on the interval (-co, co).…

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Q: Let P be the point in R^3 with rectangular coordinates (√2, −√2, 2√3). How to find the cylindrical…

A: We have given rectangular coordinates  (x,y,z) = (√2, -√2, 2√3)

Q: Question Find the linear approximation L(x) of the function f(x) = -5x³ - 5x²-3x - 1 at a = -4.…

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Q: Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

A: Here we have to solve the differential equation.

Q: Use right hand rule to find area under the curve   f(x)= x2-x on interval [1,3]

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Q: Proof Prove that if A is an orthogonal matrix, then so are AT and A-1.

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Q: (b) Determine whether the series Σ n=1 5n cos(3n) 2en converges or diverges.

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Q: drawing the slope field for the differential equation , I would place slope lines of _________ at…

A: We have to find the required

Q: . (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

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Q: Consider the function f(x) = 3x + 8x-1. For this function there are four important intervals: (-∞o,…

A: Use differentiation for finding A and B and C

Q: Find the standard form of the equation of each ellipse. 9. 10. hori 16. 5 on test ор and ← 25 Find…

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Q: (c) Compute the principal unit normal vector N of r(t).

A: Given :  Unit tangent vector  T(t)=11+5t21,t,2t,    0≤t≤2 T(t)=11+5t2,t1+5t2,2t1+5t2,    0≤t≤2…

Q: Evaluate the integral using the following values. [₁x³ dx x³ dx = 960, ["x dx = 24, "dx = 4 [² (2x -…

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Q: Classify the given differential equation according to its type, order, degree, and linearity. J²u 8²…

A: Please see the below picture for detailed solution.

Q: 1. A private telephone company serving a small community makes a profit of *12.00 per subscriber, if…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: For each differential equation, indicate the order as a number. d'y dt4 Order is: d²y dt² Order is:…

A: Yo find the order of differential equations.

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Factor f(x) into linear factors. Don’t forget to include the leading…

A: Please see the below picture for detailed solution.

Q: fxsinxdx O xcos(x) -In sin(x) + C ○ -xcos(x) + sin(x) + C O xcos(x) + sin(x) + C O xcos(x) - sin(x)…

A: Topic = Integration

Q: A rock thrown vertically upward from the surface of the moon at a velocity of 40 m/sec reaches a…

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Q: Using Trigonometric Substitution a substitution of x = 6 sin(theta) was used to solve an integral.…

A: trignometric substitution

Q: The triangle with side length a=6 cm and angles measures angle B= 45° and angle C= 120° is given.…

A: Given data:- Side length of the triangle, a=6 cm ∠B=45°∠C=120°

Q: Find the area of the shaded region. r = sin(20) r = 4+3 cos (8)

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Q: Determine whether the following series converges. 5(-1)k+1 Σ k=1 k5 Let ak 20 represent the…

A: Given: Here,            ak=5-1k+1k5 and decreasing series.  Now,…

Q: The image of the point (1, 2) rotated on a positive direction centered at (1,0) is (1 +√3,1). What…

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Q: (y² - 2xy + 6x) dx − (x² − 2xy + 2) dy = 0. ANS. xy²x²y + 3x² - 2y = c.

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Q: ล. b. TM8 M8 n=1 n=1 (−1)n-1(x - 1)n n2n n! (x − 3)” 272

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Q: Find limit  lim x--> infinity of f(x)= (1+7/x)x

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Q: What is the horizontal distance from point E to the Vertical Axis? feet

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Q: Which of the following polynomial functions might have the graph shown in the illustration below? y

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

Q: Determine whether the vector field F(x, y) = conservative. yi + xj 1 + xy is

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Q: True or False? Let R be a ring and a, be R. Then a^2 - b^2 = (a-b (a+b) v a,b € R

A: We can check that the given statement is true or false.

Q: y = 1/√x; y(iv)

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Q: 2x3 2x² + 3 3 Submit an exact answer using fractions if needed. Find the average value of f(x)…

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Q: n=1 n! n - (x − 3)" 2n

A: The series is given by ∑n=1∞n!2nx-3n To determine:  The radius of convergence. The interval of…

Q: Find the divergence of the vector field F(x, y, z) = ln(x² + y²)i + xyj+ln(y² + z²)k. 0 21 2z x² +…

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Q: Example 1 Find dy/dx, if sin (²+3x+¹) b. y = cos²(2x-1)

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Q: Use integration by parts to evaluate the definite integral fr² ln x dr

A: Topic- integration by parts

Q: A function is given by f(X)=x^2+X+5 find f'(2)

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Q: [In(cosw)tanwdw

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Q: '() = xp (x-₂x) + xp (x + xx7)

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Q: ex + ex 11. y=e-ex

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Q: 5. Find the center of mass of a thin wire in the shape of the semicircle x² + y² = a², y ≥ 0, with…

A: Concept: The formula for the mass: m=∫Cρ(x,y)ds The center of the mass (x,y) is given by:…