(d) On what interval(s) is f(x) ≤ g(x)? (Enter your answer using interval notation.) (f) On what interval(s) is g decreasing? (Enter your answer using interval notation.)

Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an<1 and compare it…

Q: y = ln(x In x)

A: Given; y=ln(x lnx)

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

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A:

Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

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A: The answer is given below:

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A: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

Q: 1. Consider the function f : R² → R such that f(x, y) = 2xy² + x² − 2xy = y + 1. (a) Write down the…

A:

Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

A:

Q: Find Laplace -3+ 2 [t². 2³+. Sincat) e -

A: See the details solution in below

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A:

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A: We will use simple Integration rules to find the area of the region bounded by the curves y=x and y=…

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -HAXNO f(x) = 0…

A: Here, the given piecewise function is: f(x)=0; -π<x<0x; 0<x<π and the period L=2π

Q: 5. Given z = arctan (), Find əz/ay

A: We can answer the question as below.

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A: Solution

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A: Given problem:- The minimum point of y=x3/(3x+6)   method:- We use first derivative test  When at…

Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

A:

Q: . For questions and Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering student…

A: This is a problem related to differential equation. Based on the newton's law of cooling we will…

Q: x²-3x-4 Lim x- x²-1

A: The solution is given below:

Q: = In ( ²² +2²³v-_-²³ ) · then x +y is da by x-y If the function u = ln

A:

Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

A:

Q: B. Find all the values of x on the open interval (-5,5) where g is increasing. Justify your…

A:

Q: The solution set of the equation x2=12-4x is {2,6} صواب خطأ

A: The given equation is: x2=12-4x  ...(1)

Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: (√t-9) dt

A:

Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

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A:

Q: lim x-0 1+x−1

A: Given problem:-

Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

A:

Q: The degree of the term 8(x³y)2 is 6. صواب ه خطأ

A: Find the degree of term

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A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A:

Q: 36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO…

A: We will find the given point located in which quadrant in the following step.

Q: (3x² + 5x-2) dx

A:

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A:

Q: -2x²8x - 6 revolved about the The region bounded by y = -2x - 6 and y y-axis. Find the volume of the…

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Q: Evaluate Dy tan(y) + 1 tan(y) - 1

A:

Q: X zx + z p Lim

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: please show full solution thankyou, if it is not possible to solve all three please answer the…

Q: The solution interval of 2y +12≥3 or 3y 1 or y≤ -1} .B O (-∞, -1]U (1, ∞ ).CO {yly ≥1 or y<-1} DO

A: We have to find the solution interval of  2y + 1 ≥ 3 or 3y &lt; -3

Q: et +ex -x²-2 Lim- x-0 sin²x-x²

A:

Q: 3. Using the Gauss-Seidel method make three iterations for the linear svstem x(0) = 0, 4x - y -z =…

A:

Q: 1. Let G be the solid in the first octant bounded below by the surface z = y + x² and bounded above…

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: NT2093E Form a differential equation representing the family of curves 4 a (b + 2y); a, b being…

A: We have to form a differential equation representing the family of curves  3x2 = 4a(b + 2y)  a , b…

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: 1. 2. dx dx sin²(x² + 2x + 1) [4 tan(3x³) - 5 csc x]

A: To find derivatives

Q: (y² + 7xy + 16x²) dx + x²dy = 0 choices: In x + ( ₂₁ ₁²₁ ₁x) = C с 4x 1 In x + (y₂ + 4x) = с In x (y…

A:

Q: T T Find the area of the region bounded above by y=11 cos x and below by y=2 secx, - Sxs square…

A: Area of a region is calculate as ∬dydx, when strip is choosen parallel to y-axis see below the…

Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

A: