a) 1+2i -2-i

Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: The ladder Carrie places a 10-foot ladder against a wall. If the ladder makes an angle of 65° with…

A: Given

Q: (c) Let us assume the facts from part (b) for all a, b e R, i.e. as < bs whenever a < b. Let SCR be…

A: Given that S~=x∈ℝ|x3∈S And S⊂ℝ is bounded above. We say that S⊂ℝ is bounded above if  and if…

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A: Consider limx→∞sin2xxTo estimate the limit and complete the given table.

Q: Requ calculations when graphing rational functions. 2.. S 1. Error Analysis: Ashton said the graph…

A: You just need to verify whether the vertical and horizontal asymptote exist or not.

Q: The function D(x) = 2375x² + 5134x + 5020 models the total number of AIDS deaths x years after 1984.…

A: Given  D(x) = 2375x2+5134x+5020 For D(x) = 50000, x=? 50000 = 2375x2+5134x+5020 2375x2+5134x-44980 =…

Q: 3. Consider the function f(x, y) = −4+ 6x² + 3y² and point P(-1,-2). On the grid, label P and graph…

A:

Q: 4 While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they…

A: Given that Lisa has 15 eggs Liana has 20 eggs 10% are rotten eggs i.e., p = probability of rotten…

Q: Q2. A random sample of eight drivers insured with a company and having similar auto insurance…

A: Q.2  In the given information, the data of number of driving violations and monthly auto insurance…

Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).

Q: For each graph below show how you calculated the points you used. 18) Graph f(x) = 4x2 + 8x - 1…

A: Topic = Quadratic equations

Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: On a particular road map, , inch represents 18 miles. About how many miles apart are 2 towns that…

A: Given: 0.5  inch→18  miles2.5  inches→?

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

A: Given to prove ∫0141+x2=π

Q: (i) What is the probability a randomly selected student scores less than 30 on the homework? The…

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A: Let X be the incubation time is normally distributed with the mean is 22 days and the standard…

Q: et dxl 1+64e?x

A:

Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

A:

Q: 1. Solve for r. q =r - s

A:

Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: What do you notice? What do you wonder? Form f(x) = (x + 5)(x + 1)(x – 3) YA g(x) = (x + 5Yx + 1)(x…

A: We can explain the graphs as below.

Q: .... et A = (0,0) and B = (12,5). There exist points on the y-axis that are twice as far from B as…

A: a) Consider the graph:

Q: Solve this

A:

Q: (b) Let={A i EN} be a family of sets with A₁ CA₂ CCA10 C... Prove that nA = A₁.

A: