For what values of p is the series x-1 x √√x+7x+5 convergent?

Q: Solve the initial value problem. y sin 0 2 y +1 1 dy Ꮎ ᏧᎾ " y(t) = 1 The solution is (Type an…

A: The given differential equation

Q: please do 20

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Q: 3. Approximate the solution(s) to x³ = x² - 5 using a graphing

A: The given equation is

Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must [₁…

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Q: 5 (5) and Let F(x)=√x-4 gtx)=x²-1 A. Find (fog)(x) and simplify. Report Domain. 4 B. Find (gof)(x)…

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Q: Determine if the series converges or diverges. Use any method, and give a reason for your answer.…

A: To determine whether the following series converges or diverges.

Q: Decide if the series diverges or converges. If it converges, find its sum. Make sure to show step by…

A: The given series is .The aim is to determine the given series is converges or diverges.

Q: Find a basis for the solution space of the given homogeneous linear syster X₁ - 2x₂ + 18x3 = 0 2x1…

A: We will use the row reduction method

Q: Find a formula for the general term a,, of the sequence, assuming that the pattern of the first few…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (6, 8, -2) Vw(6, 8, -2) =

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Q: Tutorial Exercise Find the absolute maximum and absolute minimum values of f on the given interval.…

A: f(t)=2cost,+sin2t,  [0,pi/2]

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. Make…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: n=1 (−1)n-3 √n

A: Given that the series we have to find check the series convergent, divergent or absolutely…

Q: Calculate the following limit, use L'Hopital's Rule where appropriate lim x sin 8个8 ㅠ X

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Q: Calculate the partial derivatives af/ax and afƒ/ay of each function: (i) f(x,y) = (2x - 3y)². (ii)…

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Q: Write the sum using sigma notation. 2² + 3² +4² + + 15² K Σ k = 2

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Q: Find two positive numbers whose product is 16 and whose sum is a minimum. (Enter your answers as a…

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. 5m² + 7 n=0…

A: We have to find the convergence or divergence of the following series.

Q: 4- x - 2 ≥0

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Q: g(x) Find the area enclosed between f(x) = 0.1x² + 9 and g(x) = x from x = -2 to x = 7.

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Q: Given f(x) = f'(2) = 1 x+1 find f' (2) using the definition of a derivative. Provide your answer…

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Q: The speed of a car at time t, 5 ≤ ≤ 10, is given by f(t) = -2(t-10). The Mean Value Theorem…

A: Step 1: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,…

Q: At 5 PM a red car is 130 miles north of Bellevue and a blue car is 90 miles east of Bellevue. The…

A: Solution is following in explanation step.

Q: (Technology Permitted) At time t=0 there are 100 gallons of water in a barrel. Water starts leaking…

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Q: f(x) = 0 осх сп Sketch graph of f(x) in the interval -27 CX C2TT express f(x) as power series

A: This is a step function on fixed interval

Q: A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is…

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Q: 1. Find all the values of a, b e R such that the function sin (3x) ax is continuous. if x > 0 if x =…

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Q: The following linear system is in echelon form. Solve the linear system by back substitution. X₁ -…

A: The  following linear system is in echelon form. To solve the linear system by back substitution.

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

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Q: Determine if the series converges or diverges. Use any method, and give a reason for your answer. 00…

A: We have to find if the given series converges or diverges.

Q: The matrix A = eigenvalue. -2 -8 11 331 156 -17 -6 has an eigenvalue of 0. Find an eigenvector that…

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Q: Sketch the graph off by hand. maximum and minimum values of f. (If there is not one, enter NONE.)…

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Q: 3. Use implicit differentiation to find the equation of the tangent line to the curve y² (y² - 4) =…

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Q: (a) x² + y2 = 2 2x - y = 1

A: we need to find out the solutions of the given system."Note as per the company policies, we are…

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: A cup of coffee at 160 degrees is placed in a room where the temperature of 70 degrees After 5…

A: The initial temperature of the coffee After 5 minutes,

Q: List the first five terms of the sequence. a₁ = 18, ªn+1 a n n

A: The given sequence is defined as.The aim is to find the first five terms of the sequence.

Q: dx Assume that x= x(t) and y = y(t). Let y = x³ +5 and dt=4 when x = 1. Find dt 11 dy when x = 1.…

A: The objective of the question is to find the rate of change of y with respect to time (dy/dt) when x…

Q: Read It h(x, y) = e -8x sin(y), P(1, P(1, 1), V = -i

A: h(x,y)=e-8xsiny, P(1,pi/2), v=-i

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: The function is given as,

Q: (x, y) = ¹ +r³y - 2y' find fz (z,y), fy(z, y), and evaluate them at (1, of Find fa(, y) = da Answer…

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: We have to find the exact value of x (in ft) so that the greatest possible amount of light enters…

Q: Suppose that an= -4 and Al! 00 Wi (9an + -6bn) (9an+-6bn) n=2 00 b₂ = 8 and a₁ = 3 and b₁ = -1, find…

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Q: The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a…

A: The region bounded by the curve  , and

Q: The general solution of the 1st-order ODE, (x + 3y − 2)y' = é −3(x+3y−2)² Select one: O a. y(x) - y…

A: The given differential equation is

Q: To find the length of the curve defined by from the point (-2,372) to the point (1,12), you'd have…

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Q: Consider the function f(x) = x + 2 cos x, for 0 < x < 2п. Which of the following values are…

A: we need to find out the inflection points for the given function on the given intervals.

Q: 2. Find the derivatives of the following functions. (i) y = In²(cos ¹(2x))+ √coth x² (ii) y =…

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Q: I was wondering what the horizontal asympotoe would be? I was having troubling figuring that part…

A: As per student demand answer of (d) Horizontal asymptotelimx−&gt;oog(x)=l l is the horizontal…