11. Each front tire of a vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf f(x,y)=k(x² + y²) 20≤x≤30, 20≤y≤30

Q: 3.) / sect 0 do

A: To evaluate ∫sec4θdθ

Q: Find cot β if csc β= -(3 √5)/5 and sec β=-3/2 A) (√5)/2 B) (9 √5)/10 C) (5 √5)/2 D) (2 √5)/5

A:

Q: S(cost x- sin x)dx

A:

Q: snip

A: Given, cosjx,coskx, ∋j≠k, k≥1 if inner product of two function f(x), g(x) on the interval [a,b]…

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A:

Q: Show that ePt cos qt and ePt sin qt are linearly independent.

A:

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A:

Q: B)Z = 1+ Ini, find |21.

A:

Q: Leb Fur =ue Show thab f6/0 )c

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 8) v = (sin(0),…

A:

Q: Assume that u- v = 8, ||u|| = 1, and ||v|| = 10. What is the value of lu- (9u – 8v)?

A: To get the values, first simplify the expression in such a way that you can use the given values.…

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A: Given, (e) ∫sin2x dx   (f) ∫cos2x -4e3xdx   We have to integrate .

Q: Determine if u and v u = (cos 0, sin 0,–1); v= (sin 0.-cos 0,0) are orthogonal

A: We have to determine if u and v are orthogonal   The given vectors are u=cosθ, sinθ, -1v=sinθ,…

Q: Let the SPline function ConSider Sa)=a;+(x-x;)bi+(k-xi)Ci+ (x-Ki)dite; sin Ck-xi} Then find Sexi)=y;…

A:

Q: Given u = 3+ 2i, v = –1+4i, compute ūv +

A:

Q: Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b…

A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

Q: Find the function f(x) = a + b cos Tx +csin 7x interpolating the data {(0,2), (1/2, 5), (1, 4)}.

A:

Q: Compute the Jacobian at the indicated point. G(r, t) = (r sin (t), r – cos (t)), (r, t) = ( 6,…

A: Jacobian of the function at a given point

Q: 5) Find the following of the function f(x,y) =xy+cos y+ysin x

A: To find: The partial derivatives ∂2f∂x2,∂2f∂y2,∂2f∂x∂y. Given: The function is fx,y=x2y+cosy+ysinx.…

Q: a sin(ry) dA, where R [0, 2] x (0, ] R

A:

Q: Find the tirst B secend dericatices %3D

A: y=7x55-x+8ex Differentiating with respect to x, we get dydx=ddx7x55-x+8ex=75·5x4-1+8ex…

Q: fze [sin(3x)]-m(x, y, z), where m(x, y, z) = Part C. yz-1 %3D

A:

Q: Evaluate ([cos (x – y)sin(x+ y)dA, where R is the triangle with vertices (0,0), R (-1,7), and (7,7)…

A:

Q: The covariance of X1 and Xzis defined by cov(X, X,) .A .B E[(x, -x,)=] .C E[(x, - x,)] .D

A: Option D is correct.

Q: sinha da 1+cosha

A: ∫sinhω1+coshωdωLet u=1+coshω.=∫1udu=lnuSubstitute back u=1+coshω=ln1+coshωAdd a constant to the…