25) Which notation describes the translation of the sailboat B(70, 20) to the lighthouse B'(10, 80) as a change in (x, y)?   a.) (x, y) ==> (x + 60, y – 60) b.) (x, y) ==> (x – 60, y + 60) c.) (x, y) ==> (x – 60, y – 60) d.) (x, y) ==> (x + 60, y + 60)

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Which function has a y-intercept of -2? O 3x + 2 a) fx) = 5х -1 3x + 2 O b) Ax)· 5x- 1 Oc) Ar) = 5x…

A:

Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

A:

Q: Simplify (-4r X2r) Oa) 8r13 6. O b) 2r13 O 0 840 O d) 2y0

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Q: What's the result of translating the point (9, -5) using the rule (x, y) → (x + 7, y - 2)? O A) (2,…

A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Approximate Vsin²(x) + 3dx using n=4 with each of the following: a) Right endpoints b) Left…

A: Given that f(x)=∫15sin2(x)+3dx with n =4 a) The right  Riemann sum uses the right endpoints of a…

Q: Which of the following points is on the line with the given equation y = 1- 4x? A) (0, 0) B) (-1,…

A:

Q: Determine the length of x = 4(3 + y)* , 1<y<4 %3D

A:

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

A:

Q: D, E, F

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Q: SW= 3, g(2)=. n+3 (iYHow do I find (fo5) (a) and the domain of ) How do I find tgopte (gog)2) and…

A:

Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

A:

Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

A:

Q: Find the value of ZA (0, 1, 4) - - (-24,-2x, 92) dr I= -8 (-1, 4 ,0) BY O a) I = O b) I=2 O c) I =…

A:

Q: splve 15. (12х — 7) - (5х — 12) 16. (5 — Зх) + (2х — 8)

A: 15.  Given a expression,

Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

A:

Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

A:

Q: Q3) find the direction of A= 4i + 3/ + 12K (1) point

A: From the given problem:   A=4i+3j+12k   As we know that the direction of the vector is:   n^=A→A…

Q: Describe (in the form y = (x)) the images of the lines u = 6 and v = 6 under the mapping G(u, v) =…

A: Solution

Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

A:

Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

A:

Q: Evaluate by Algebraic Substitution: * 5. S/1+vz dz -(1-v5)(3VE – 2) +c b. (1+ v7)(3V7 + 2) + C 5(1 +…

A:

Q: ) = Zzz 2(러)(2-3) Find XCK) is X(2)

A:

Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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Q: what the factored form of the 1s ellowing expressons? O d? +5d -24 a.) (d+ 3)(d+8) b) &+3) (d-8)…

A: Split the middle term to factorize the polynomial.

Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…