Determine the interval of convergence of -1)"+12nx"| n2 + 3

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decre...

A: Let's find. 

Q: 25 1. If cscy = 24 %3D

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Q: Question Select your answer. What is the slope of the tangent line to the function -2 f(x) = at the ...

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Q: Differentiate each of the following functions, simplify the answers if applicable. (need help, timed...

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Q: Since both equations will always be equal to zero, we will automatically move the V2 term to the rig...

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Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 , ar...

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two sepa...

Q: (b) ) п? + 2n n=1

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Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

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Q: Consider the funetion 1) Find the domain of glx) 2) Find lim g(x) and limg(x). 3) Find oblique asymp...

A: Solution: Given data ,  g(x)= 2√(x2+3x)

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides b...

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Q: Find the specified term of the geometric sequence. a5: a1=7, a2=28, a3=112,… a5=

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Q: IV. In each item, solve the constant of proportionality k, form the complete variation equation, and...

A: This question can be solved using the concept of constant of proportionality.

Q: dz %3D dt

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Q: 8) y"+4y' +5y= 0

A: Since you have posted multiple question, as per guidelines we can solve only one question at a time ...

Q: Find the derivative of the function g(x) 3+5x (2), 6 > Next Question

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Q: Graph the functions in Exercises. of the function on the interval and say where they occur. Then fin...

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Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through...

A: We have to find the solution of differenrial equation

Q: d. f(u) = (4u + 5)(7u3 -2u) %3D 3s – s* C. gts) = %3D 2 +1

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Q: ſ csc' xdx

A: Solution is written in below steps.

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

Q: Use the difference an+1 - a, to show that the given se- quence {a,} is strictly increasing or strict...

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Q: Edward finds The temperature of the corpse 35°C at 1:30 pm an ol 23°C later. Normal deer body temper...

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Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square an...

A: Length of the wire = 4 m,  One piece is bent into the shape of a square and the other into a rectang...

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: C. 1. If f(x) = V find, f '(4) and f "(4) 2. Find the slope of the tangent line to the curve 2x + 2y...

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Q: Give the equation of the horizontal asymptote, if any, of the function. h(x) = *+6 x2 - 64 no horizo...

A: We can find the equation of horizontal asymptotes as below

Q: B. Find the sor and aguation of the TANGENT and NORMAL LINE to the curve Graph cach curve, normal, a...

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Q: d. If a rational function has a finite limit as x , then it must have a finite limit as x 43. Explai...

A: Topic:- calculus

Q: {vñ – vn+1

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Q: Let h, r be constants. Consider the quadric surface S of equation (r – h)? y-1) (2-r) 16 The trace o...

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Q: Write the first five terms of the arithmetic sequence. a4=20, a10=32

A: Given query is to find first five terms of the arithmetic sequence.

Q: Determine whether the improper integral diverges or converges. 00 dx 12 converges O diverges Evaluat...

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Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares ...

A: Explanation of the answer is as follows

Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from a...

A: Given query is to find the graph of the derivative.

Q: 1 Let an = n > 3. nVlnn +00 (c) Use the Integral Test to determine if the series an converges or div...

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Q: 238 The isotope of plutonium 40° Pu is used to make thermoelectric power sources for spacecraft. Sup...

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.x) b) Fin...

A: Note that, the Maclaurin series of  ln(1-x) is: ln(1-x)=-x-x22-x33-x44-...                  ...(1) w...

Q: C = x Vx? – 25 + 50V2? – 25 + C.

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: 6. Let a be a real number.

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Q: 2. How many alphabet characters should a password be composed, making sure that there are at least 2...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: solution

Q: 18) 4y"+4y'+17y=0

A: Given: 4y''+4y'+17y=0 So, we can also write as; 4D2+4D+17y=0 The auxiliary equation is: 4m2+4m+17=0

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: Verify that the equation is an identity. cot 0 cos 0 cos 0 81. cot 0 - cos 0 1- sin 0

A: Since you are asking multiple questions. We are answering only the very first question as per our gu...