study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 8 steoarthritic patients. If 4 or more of the patients receive relief, we shall not reject the null hypothesis that p = 0.4, otherwise, we conclude that p<0.4. ) Evaluate a, assuming that p= 0.4. ) Evaluate B for the alternative p 0.3. a) a=(Round to four decimal places as needed.)

Q: (a) √|2|=3 (2²+1)2dz. (b) S₁2=22(2²1) dz. z³(z−1)

A:

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: Differentiate P = aQ1-a of dp A. = a(1 – a)Qª¯-2 dQ dp В. = a(1 – a)Q¯a dQ dp C. a²Q-a dQ dp D. =…

A: d/dx(xn) = n x n-1

Q: Find u v = ac + bd Find 5u-2v

A: a) We plug u and v, then use dot product.

Q: 17.) Integrate: 4sec2xtan2x dx

A: I=∫4sec2xtan2xdx substitute u=2x→du/dx=2→dx=(1/2)du =2∫sec(u)tan(u)du=2sec(u)undo substitution…

Q: 1) Complete a proof of the following in 2 column form. Given: mz3 + mz8%3D 180 Prove: a I b

A:

Q: d) (V125) e) 2lo82(7) elnv5

A:

Q: Scx+i) e dx

A:

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: 4 5 18 26 16 30 (a) Determine the LU factors of A. (b) Use the LU factors to solve Ax₁ where 3.10.1.…

A:

Q: 2) y=x' – 9x² + 24x – 18; [2, 4] -

A: let y=f(x) f(x)= x3-9x2+24x-18, [2,4] using rational roots tests: x could be :±1,±2,±3,±6,±9,±18 If…

Q: Integrate: Show that B(p+1,q)+B(p,q+1)=B(p,q).

A:

Q: 17) 4x2 - 4y2 = -48 2x2 +2y2 = 40 %3D %3D

A:

Q: Find d²v dt² v=3t² +7t+9 d²v dt² कर U- -

A:

Q: 1 5 ]v s or fractions.) W = - 3 0

A:

Q: Two forces of magnitudev50N and 20N act on an object at 30 and -45 degrees with the positive x axis.…

A: Image is attached with detailed solution.