Use trigonometric substitution to do the integral 4x3 dr. VI² + 4

Q: a) Evaluate £{est}. b) Evaluate L{(t− 3)² + sin 7t + cos 8t} c) Use the Laplace transform to solve…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. AVIATION After takeoff, an airplane is headed east and is climbing at an angle of 18" relative to…

A: i have assumed here the motion in two dimension, because at a particular point of time plane is…

Q: Let (xn) be a bounded sequence. Recall that lim inf xn = sup inf xm = sup inf{rn, Xn+1, ...}, lim…

A: We prove it by contradiction. For this, we assume that L1 is a limit point that is smaller than L.

Q: Write the functions represented by the graphs.

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Q: The periodic function with L=2 is presented as f(x)= O if -1<x<0 and f(x)= x if 0<x<1. Find the…

A: We have to solve given problem:

Q: Stock Prices A random sample of stock prices per share (in dollars) is shown. Find the 80%…

A: The data shows the stock prices per share (in dollars)

Q: 4. Most of Canada's earthquakes occur along the west coast. In 1949, there was an earthquake in the…

A: The Richter Scale is logarithmic, which means that each increase of one unit represents a tenfold…

Q: 2. A waterwheel with radius 7m, has 1m submerged. The wheel rotates at 6 revolutions per hour. Time…

A: a) We have to Graph the distance if the point P above the surface of the water during one complete…

Q: A particle moves according to a law of motion s = f(t), 0 sts 12, where t is measured in seconds and…

A: d) The particle is moving in the positive direction vt is positive. vt&gt;0 here it will be…

Q: Determine the (x, y) co-ordinates for Leigh's and David's position at time s. which Find the…

A: Given that David is climbing the parabola y=x2-6x+14. (d) At time s, the position coordinates of…

Q: 3. (a) A company is looking hire more sales staff. The human resources department accepts only the…

A: Introduction: Denote X as the event that the resume of a randomly selected applicant is accepted,…

Q: Suppose f(x) is a linear function with domain (-0,00). Use the table below to estimate the solution…

A: The given table of values, x -2 -1 0 1 2 3 f(x) -11 -8 -5 -2 1 4 We have to find the…

Q: how about part D, how to solve that?

A: The information provided in the question are as follows :-…

Q: 3. You decide you would like to build a ramp to go into your shed. For safety, the angle of…

A: Given,The angle of elevation is . The entrance to the shed is  from the ground.Aim: To find the…

Q: Sin(A)= &,with A in Quad II, & Sin (B) = - %3D with B in Quad III. Find cos (A-B).Give you answer as…

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Q: Let C denote the curve that starts at the point (1,0), traverses the unit circle to the point (0,…

A: Please check step 2 for the solution.!

Q: Let an > 0 and assume that an diverges. Write Sn = a1 + a2 + • ·.+ an. Prove the following…

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Q: 4.20 Combinations Evaluate these combinations: b. C c. C: d. C?º 20 а. с.

A: The total number of combinations of n different things taken r at a time is given by Crn=n!r!n-r! ,…

Q: 2b. Solve the following equations for Va and Vb: (Va - 10) (Va + Vb) Va + = 0 5 10 20 (Vb - 5) (Vb +…

A: Explained below

Q: me accompanying data represent the dearumber of care for a random sample of 900 adults. Complete…

A: Here the given table is        We have to Construct a discrete probability distribution for the…

Q: Look at the following proposition about a natural number n: 2 + 3 < 4 2, and n=3. (a.) Investigate…

A: Given inequality is 2n+3n&lt;4n. We have to prove that the inequality 2n+3n&lt;4n is true for all…

Q: Part 2: Proof that (A n C) – BC (A – B)n (C – B) Consider the sentences in the following scrambled…

A:

Q: The nice little graph you see here is the graph of the polar equation r Compute the area enclosed by…

A: Given: - The graph of the polar equation r=sin3θ and the nice little graph is, To find: - The area…

Q: 1) The dimension of the subspace of P3 consisting of all vectors of the form at³+bt2 + ct+d, where b…

A: We have to find the dimension of the subspace of P3 which consists the vector at3+bt2+ct+d   where…

Q: -35 = -35 a a || = a457 140a -35 140

A:

Q: A random sample of 12 radon detectors of a certain type was selected, and each was exposed to 100…

A: Null hypothesis: µ=100. Alternative hypothesis: µ≠100. This is a two-tailed test. Here, the sample…

Q: on of W

A: Given: S=t3+t2-2t+1,  2t2+2,  t3-2t,  2t3+3t2-4t+3 L

Q: For a hyperbola in standard form: x² a² 6² = = 1, a, b>0 the constant a is called the semifocal axis…

A: Given that  be a point on the hyperbola  ,whose coordinates of foci ,where  be the…