Find the formula for the nth term of the arithmetic sequence.  Use the formula to find the 20th term in the arithmetic sequence.

Q: 13-17. For the probability density function f(x) = (x+4), 10], find the following: an over the given…

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Q: A kettle of water is warming for tea. The equation below represents the water temperature, W, after…

A: Given query is to find the time to reach the temperature of the water to 175°.

Q: 12. A company is constructing a cylindrical can for a new product. They want to keep the cost of…

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Q: 1 O Evaluate lim (3" + 7")

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Q: 15. Indefinite Integrals (Part 1) -/3 -2 a) + cscxcot x dx b) cosx--sinxr+4csc², sin x+4csc² x dx 3…

A: Solution is done in step 2

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: 1. √x √1 + x² dx X

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Q: The Maclaurin series expansion for the function f(x)=(1+x)² is Σ(-3)"x" Σ(-1)"x" This option…

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Q: A table of values of an increasing function f is shown. X 10 14 18 22 26 30 f(x) -11 -8 -1 1 3 7 30…

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Q: inverse laplace (7s-2)/(25-s^2)

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Q: Given the functions: Find: f(x) = 3x - 5 a. f(g(x)) g(x) = x² + 2x - 1 b. (f(h(x)) c. f(g(-1)) h(x)…

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Q: Consider the curve parameterized by x = 3t²3 and y = 2t³. Find equations for all tangent lines to…

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Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x)…

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Q: The rate of change of the temperature, r(t), in an oven (in degrees Celsius per minute) t minutes…

A: To find out the temperature change using simpson rule.

Q: QUESTION 14 Find d²y/dx². x = t + sint, y = t - cost

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Q: Use any method to determine whether the series converges or diverges. √k k³+27 The series diverges.…

A: Given query is to find series converges or diverges.

Q: You are training your dog to catch a frisbee. You are playing in a large field, and you are standing…

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Q: Evaluate the function at the indicated value of x =1. f(x)=loggx 8 -8 - 1011 8 0

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Q: √1² +25 -2 I dt

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Q: Consider the following matrix. -2 -3 A = 5 7 Choose the correct description of A. Find A if it…

A: First check that given matrix is singular or not then find its inverse.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Let f (x) = x³ 3x². - Find the absolute minimum value of f(x) on the interval [1, 4].

A: We have to find the function value

Q: Write the logarithmic equation in exponential form. log7 2 49

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Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y b) x = y¹,…

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Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

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Q: Integrate on of these partial fractions. (choose any)

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Q: Consider the curve parametrized by a = e-sin(0) and y = ecos(8) for 0 ≤ 0 < 2π. At what points (x,…

A: The parametrized curve x=e-sinθ and y=ecosθ for 0≤θ&lt;2π.

Q: A bottle of milk initially has a temperature of 79°F. It is left to cool in a refrigerator that has…

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Q: Let f(x) = (x – 3)(5x + 7). Find an equation for the tangent line to the graph of f at x = 2.…

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Q: taylor series & radius of convergence of f(x)=sin(2x), centered at a= pi (22/7)

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Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Explanation of the answer is as follows

Q: 14) Find the mean value of the function y = 4 - x² on the interval [-1,2].

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Q: A) ( This problem consists of two parts. Evaluate the following indefinite integral 5 TVER _ln(x+1)…

A: To evaluate: ∫51-x2+x21+x3+lnx+1x+1dx Let I = ∫51-x2+x21+x3+lnx+1x+1dx I =…

Q: Consider the curve parameterized by x(t) = 2(t²-1), y(t) = 5e²t, tER Determine an equation of the…

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Q: The Taylor series for cos(x) centered at x = 0 is given by: (-1) 2n (2n)! n=0 Using this result,…

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Q: Determine the positive and negative intervals of the polynomial function P (x) = x(x − 2)(x + 2)(x +…

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Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Q: [in (w)² ]] 4 W dw

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Q: Answer (A) & (B) A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx (x siny) dy…

A: Integrating factor of the differential equation: Consider  Mdx+Ndy=0 be the differential equation.…

Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: For the function y = f(x) = x² – 3x − 4, x ≥ 1.5, find df dy y=2

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Q: Find the inverse of f(x) = 3 √5x² +2 What is its domain?

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = 2t3 where t is…

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Q: 12 71. (-5-81) 1-4 1000

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Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: Describe the graph of the equation. r = 5 sin 14ti + 5 cos 14t j O It is a circle of radius 14 in…

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Q: Find the following using the table below. X 12 3 4 f(x) 3 1 4 2 f'(x) 4 1 2 g(x) 2 4 1 g'(x) 2 3 4 1…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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