d Demain of the pareat fanction: Large of dhe parant fanction: elGraph bath Hhe parat funcfion and shxlelegalx-s)+3 Domain of gl): Rasge ofglx): f) Graph ratimal functin flx) X-x X+1

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: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: Solve for x and y. AABC O x O x Oz O x B ADEF 18 10 D 10 CB X 11.6, y = 14.29 11.6, y = 15.29 12.6,…

A:

Q: Solve, z2 - 4z + 5 = 0 Given that z, = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, determine…

A: Given equation is, z2-4z+5=0 Now, z=4±16-4×52⇒z=4±-42⇒z=4±2i2=2±i So, the solutions are z=2+i, 2-i

Q: Say that E = Ãek™, where the components of A and k are real and constant, i.e. they aren't imaginary…

A: A vector is a quantity that has both magnitude and direction. In general, vectors are represented as…

Q: Solve for 19 a) =20 = a" (I+ JEi ) b) z²+ zi +1 = b) zt Zi t1 =0

A:

Q: 7 Determine the intgral

A:

Q: (а? + 12гу) da — (Ал? + 8у) dy — 0

A:

Q: t Sintcost de

A:

Q: Solve for i in terms of Ve, a, and d) V2=DV;²-2ad %3D

A: Do the mathematical operations for that.

Q: [x +y z + w y +z w 7 4

A:

Q: 3. Solve for y. yo 11.2 I1.2

A: Let's find.

Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: Solve for x

A: Given,  In the parallelogram, UVWX The angle  U=9x+15 and V=6x+15. Since the consecutive angles of a…

Q: Find a b. . a = 8i + j, b = i-4j+ k

A:

Q: х- 2 12. Solve for x given that EX. 2 а. -2 b. 1 С. 2 d. -1

A:

Q: Find the Complete or Particular solution OF the Followoilng diffi rential equations: (2メコ+ )dx -2メよ…

A:

Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: |cos“(2 a x)d x

A: Use the formula in the integral to solve the square term. 1+cos2x=2cos2xcos2x=1+cos2x2 Using this…

Q: Let w = (2, −2, 1) and v = (4, 5, −4). Solve for u if v + 5u =3w − u.

A: Simplification of the function helps to find the vector u. Component-wise operations help to get…

Q: Find the magnitude of  v = i − 2j − 3k

A: The given vector is v=i-2j-3k   A vector of the form m=ai+bj+ck has the magnitude, m=a2+b2+c2

Q: Solve for c. a= = = (b+c=d) 010 믐 X 5

A: a=(b+c-d)/3

Q: Find R and 0 given the components R, = 6.172 and R, = -1.725.

A:

Q: ntegrate. Show the step-by-step computation.

A: we have to integrate

Q: Vx dx 1+xvx

A: To evaluate: ∫x1+xxdx

Q: Solve forvz. a.z = 16 + j25 b.z = 121 – j16 C.z = 10 + j4

A:

Q: (d) (e)

A:

Q: Solve the formula for x. Ux + Vy=W -0

A: Solve for x

Q: 22 21 and 21 in the form x + iy. Let z1 = 17 + 3i and z2 = 20 – 5i. Find 22 21 22 22 21 || ||

A:

Q: Given ü = (2,-3) and = (-2,5) find ü v %3D

A: Solution is done in step 2

Q: Q.3: the function describing the marginal cost (in dollars) of producing a product is MC = 8ßx +800N…

A: Note: It is assumed that β , S , Ω , T are constants.   Integrate the marginal cost function to…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.