Find the radius of convergence, R, of the series. Σ (x - 7)" 07 n=1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ k→∞ ak k=1 11

A: Given query is to apply ratio test.

Q: 1. Find the derivatives of the following function (a) y=4²+2√² (b) y=++ 2x+3

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Q: Find the laplace transform of f(t) = 2t¹-3e³t+10 cos 2t

A: Given that,  f(t)=2t4-3e3t+10 cos2t

Q: I need help on number 12. Thanks!

A: 12. The given differential equation is y'-y=0  .................................. (1) We assume the…

Q: Find an equation of the plane that is passing through the point and is perpendicular to the line L.…

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Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: Find the Taylor series of the function at the given center a. f(x)=x³-5x, a=2

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Q: Evaluate the integral improper integral (A) 1/9 B) 1/6 1/8 (D) 1/4 0 00 dx (2x-1)³

A:

Q: a) lim f(x) 2-0- c) lim f(x) e) lim f(x) 4 3 2 1- 0 + -1- Š 4 b) lim f(x) 2-0+ d) f(0) f) lim f(x)

A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2

Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: 1 Given f(z) find the average rate of change of f(z) on the interval [10, 10+h]. s z+5 Your answer…

A: The function is given by fx = 1x+5 To evaluate: The average rate of change of the function on the…

Q: List all x-values where f is not continuous. lim f(x) = X→∞ g. Is the value of f f(x) dx positive or…

A: e.  From the graph function is not continuous at  x = 3    f. for x→∞   f(x)=1limx→∞f(x)=1

Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: Caitlyn wants to enclose a rectangular field with two internal partitions as shown. If the area of…

A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

Q: Find the derivative of f(x) = tan(sin(2x))

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

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Q: y = (In x) x , find dy/dx. Oy y' = (In x)* (1 + ln x) O y' = (In x)*¹ [1 + x (ln x) (ln ln x)] O (E)…

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x²-3y-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ ak k→∞ Hence the…

A: After applying ratio test we have to tell about convergence of series.

Q: Consider the function f(x) = cos(x) - Give the following: A = B = f" (A) = f" (B) = Thus f(x) has a…

A: The given function is  f(x)=cos(x)-sqrt(3)x/2.

Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: ∞ Use the ratio test to determine whether n + 9 n! n=14 converges or diverges. (a) Find the ratio of…

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Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

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Q: b) f4 sec 0 tan 0 do

A:

Q: h(x) = f(gx)) calculate the following derivatives using the table a) h'(3) b) h'(2)

A: Given

Q: d d Calculate #ri(t) - r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product…

A:

Q: dx If z² = x³ + y², = -3, dy dt dt Please give an exact answer. Provide your answer below: - - 2,…

A: Answer is in step 2.

Q: du u+√4u² - 1

A:

Q: Let 0 = tan-¹ ( - ), then tan@ =_ and is in quadrant Now use trig identities to find the other 5…

A: Theta lies  in second quadrant ot in four quadrant . First find the trig ratio considering the theta…

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: Evaluate the definite integral. J01(e 20t i+e-t j+t k)dt e 20-120 i-(e-1-1) j+12 k e 20-120-(e-1-1)…

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Q: Describe the graph of the equation. r = 5 cos ti - 8 sin tj+ k O An ellipse in the plane z = 1,…

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: Find the gradient Vf at the given point, and compute the directional derivative of the function in…

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Q: Admission to a baseball game is $⁢2.50 for general admission and $4.50 for reserved seats. The…

A: Given Admission to baseball game is $2.5 for general admission and $4.5 for reserved seatsThe…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ||ti + 1²3|| dt =

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Q: Consider the following system of linear equations 4 4 -2 30 1 0 18-0 7 -2 -3 2 -18 Which one, among…

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Q: 1) f(x,y)=y-x, (2.1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 4 > Find the domain and range of the function graphed below. -5-4-3 1 2 3 4 5 52 Domain:…

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Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all ^~^ints.…

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Q: Evaluate the integral. JS 2x + y dA D where D is the region bounded by y=x, y=0, x=2.

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Q: 3.The population of birds in a region was measured to be 6300 birds in the year 2015, and 8700 birds…

A: 3. The population of birds in a region was measured to be 6300 birds in the year 2015,and 8700 birds…

Q: Use the method of Laplace transforms to solve (O) 0 (0) 0.

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: The equation of motion is given for a particle, where s is in meters and is in seconds Find the…

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Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2

A: We can answer the questions as below to find derivatives

Q: 7.3 = x + 2y x-2y y'

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