Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

Q: Let Pr[A]=0.6, Pr[B] =0.7, and Pr[AUB]=0.8 Find Pr[A|B]

A: Given Data: The probability of event A is: P(A)=0.6 The probability of event B is: P(B)=0.7 The…

Q: use the equotion below to find v if u=12, a=9, and t=4                v=u+at

A: Given:

Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

A:

Q: Consider the figure below, where |u| = 4 and |v| = 9. 150 (a) Find Ju x vl. (b) Determine whether u…

A: |u×v|=|u||v|sin150

Q: what value u is P(U > u) = 0.05? What is P(U < u) = 0.05?

A:

Q: Let P(A) = 0.4, P(B°)= 0.4, P(B|C) = 0.4 & P(C) = 0.6. A and B are dependent, A and C are disjoint.…

A: Given: P(A)=0.4P(BC)=0.4P(B|C)=0.4P(C)=0.6

Q: Let P = v?R/(R +r)² as in Example 8. Calculate dP/dr, assuming that r is variable and R is constant.

A: Given:

Q: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

Q: If r(t) = , find r '(t), T(1), r ''(t), and r '(t) ✕ r ''(t).

A: Given  r(t) = &lt;4t, 6t2, 2t3&gt;

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t).

A:

Q: Let o : R → S' be given by o(r) = e2™ir. Find ker P.

A: This is a problem of Abstract Algebra.

Q: Given u = 5) and v = (5, -4), calculate u· v.

A: u=&lt;-4,5&gt;, v=&lt;5,-4&gt;

Q: Find proj, u and scal, u by inspection without using formulas. proj, u = OD

A: Vector and scalar projection

Q: Q21 find the Slop af following angles: c)a = IS:

A: Find the slope of following angles

Q: Based on the following figure, determine whether u × v is directed into the screen or out of the…

A: The objective is to determine whether u×v is directed into the screen or out of the screen.

Q: If u = 5i + 2j, v = i - j, and w = 3i - 7j, find u . (v + w).

A: According to the question, we have to find the value u·v+w, if u=5i+2j,v=i-j and w=3i-7j. The above…

Q: Given u and v as follows, calculate u + v, u – v, and v – u. 2 (a) u (b) и %3D 4 -3- 21

A:

Q: Given u and v, find proj, u u = [-1,3] v = [-7,4] proj, u = [Ex: 1.234 ), Ex: 1.234

A:

Q: Use rhombus JKLM 13. If NK = 7 and KL = 15, find NL. for 13 and 14. K

A:

Q: Given u(x,t) =t²e¯¤, compute: Uxx

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

Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = &lt;3, -5, 10)&gt; b = &lt;1, 5&gt; v = &lt;2, 5&gt; w = &lt;2, 1&gt;

Q: Which of the following statements must be true if AGHI ~ AJRL? Sle the apply- H K G J 7.

A:

Q: If X~N(u , 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

A:

Q: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: Show that for all u e V, [T(u)]c = A·[u]g. Hint: For i = 1.r, find [T(v¡)]c and then, write u =…

A: Given that . For , V⊆ℝn and W⊆ℝn , V,W are vector subspaces and β=v1 , v2 ,...vr and C=w1 , w2…

Q: If u = (bla +|a|b) and y= (la|b-b|a), evaluate u•v. Hence, interpret the geometrical с. relationship…

A: Here two vectors, vector a and vector b is given. Another two vectors, vector u and vector v is…

Q: If r(t) =  , find  r'(t), T(1), r''(t), and  r'(t) × r ''(t).

A:

Q: Find u xv and determine whether u x v is directed into the screen or out of the screen. |v|= 4 45°…

A: We have a×b=absinθ So,  u×v=uvsin45°=3×4 sin45°=12×12=62 Hence, u×v=62

Q: If i = j+z, i – j = đ, and j – z = b, show that ā = -15.

A:

Q: r(0)=, find v(t) and r(t).

A:

Q: if T(x,y) = (x,0) then Null(T) = span{(0,1)} Select one: True False

A:

Q: Let linear tiansformation I(4)=(2,32and Tls0) =(3B,2) Cheek whether T? exists or noti2 Find T. E=R…

A: The objective is to check whether inverse of T exists or not and find it.

Q: If X~N(u, 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

A:

Q: Use the figure. 7. K If NL = 3, KL = 12, and KJ = 16, find KP. %3D %3D %3D P.

A: From the given figure, it is observed that: PN is parallel to JL i.e., PN∥JL Also, NL=3, KL=12 and…

Q: find az and dz if uv u=1+St, v= S? ta

A:

Q: If s,? 232, ng 30 & s22 = 387, n2 = 46, a = 0.05, then the table F value for a 2-tail test is: %3D…

A: Solution-: Given: n_{1}=30, s_{1}^2=232,n_{2}=46,s_{2}^2=387,\alpha=0.05 For two tailed test Find…

Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

A:

Q: Q2. Let S(x) = (x+2), and g(x)= (x+) gof and fog find

A: From the given data:

Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

A:

Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

A: Explanation of the solution is given below...

Q: Let T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

A:

Q: Given u and v, find proj, u. u = [6, 1] v = [-4, 7) proj, u = [Ex: 1.234 , Ex: 1.234

A:

Q: If f(x, y) = e + e", then .Vf(x, y) = (0, e') :Select one TrueO False

A:

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

A:

Q: (a) What is the behavior of V(r) as r→0? As r-0, V(r)→ O What is the behavior of V(r) as r→0? As…

A: Given that, the function is Vr=1r6-Ar3. Find the behavior of Vr as r→0 as follows, Apply the left…

Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =

A:

Q: For what values of aare u and v orthogonal?

A: Consider the given vectors  u=11-2  and  v=a-12 Write the vectors in row form u=1,1,-2  and…

Q: ind r'(t),r''(t),andr'(t) · r''(t). r(t) = (t2 + 4t)i − 8t2j

A:

Q: Use the folowing diagram for the question. Assume a // band c/ d. a 3/4 6/5 11/12 1/2 8/7 9/10 State…

A: c and d are parallel and a is a transversal. Thus, the angles 1 and 9 are corresponding angles and…