i) Find the general term (an) of the sequence 3e-¹, 10e-2,29e-3, 66e-4, 127e-5,218e-6, ii) Calculate lim (an) 818 iii) Write a 12 term of the sequence.

Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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A: In this question we have to solve the Integral.

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: [x³e'dx,

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Q: (Question 8, 9, 10, 11, 20 pts) For the following exercises, find /(x) for each function. Use th…

A: As per the guidelines, we will be answering the first question. As per the instruction in the…

Q: Evaluate: f 4dx 3x+2

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Q: Question Rewrite the following quadratic function in standard (vertex) form. Enter exact values and…

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Q: Question * O O O The following integral 1° (3 (3 - ex) dx is an improper integral of type II that…

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Q: Ιπ 10. State the exact value of tan- 6

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Q: A ball is thrown into the air and its position is given by h(t) = -5.3t² +22t+21 where h is the…

A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: A pilot flies in a straight path for 1 hour 30 min. She then makes a course correction, heading 10…

A: topic :law of cosines

Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 06 O…

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Q: Partial fraction decomposition can now be used to write L{y}, such that all terms have linear…

A: We can find the value of A and B by using the partial fraction method.

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

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Q: Evaluate the integral by making an appropriate change of variables. 5(x + y) ex² - y² dA, where R is…

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Q: For a function h(x) we know that h(50)=68 and h’(50)=-5. Estimate the value of h(53)

A: Topic = Functions

Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

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Q: Solve the initial-value problem 1. (D² + 4) v = 12; y(0) = 0 (0) = 2

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

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Q: Given the triangle below, find the measure of angle x. Round to two decimal places. Note: picture is…

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A: Solution: y=32x2 vertex = (0,0)

Q: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

Q: K O O Given the integrals I, J, K and L, where 3 dx = 6²° 3 .00 dx x + 2' O 1 = = [₁*√x- √x-3 dx, L…

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Q: )Use Gauss-Jordan reduction to solve the following linear system: 2x1 +4x2-2x3 + x4 = 0 -2x1 -…

A: In this question we have to find the solution of linear system using Gauss Jordan Reduction Method.

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Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 8…

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Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

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Q: f(x) =l10x2 -4xI , g(x) = 9x - 6;Find (f ∘ g)(1).

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

Q: O The following integral L (3. (3-ex) dx is an improper integral of type II that converges to -2. is…

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