25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

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Q: if Z= とan'Y final dž In Point C!,!)

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Q: 8. If s is t less than four times u, what is t in terms of s and u ? F. 4u + s oG. 4u- s H. u+s J. U…

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Q: 3) u = y f( ise XU, + yu, t zu. = ?

A:

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1<t0<t20       ;…

Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: If w= ebix-b2y-b3z, where b₁,b2, b3 are constants and b + b + b = 1. Show that 8² w 8² w 8² w dy² +…

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Q: 3. Find the following. * dw if w = (2² + y) {/2z – y ду |

A: We have to calculate the partial differentiation of the given function with respect to y   The…

Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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Q: Find C, (xy) if C(x.у) 2x? + 5ху - 9у? + 8х-Зу-9. Cx(x.y) =D

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Q: 1 If y* = ex , then y' equals -2x 2y B +3 (c) none of the given choices 2x (D y3 - 2y E x3 A,

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Q: 5. Given that mz1 42°, mz2 = x2, mzC =D %3D K C E D

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Q: If u = eª₁x+₂y+a, where a₁, a2, a3 are constants and 2² u J² u 2² u + = U. a² + a² + a² = 1. Show…

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Q: 4- Prove that (a) (b) Ax B|2 = |A|²|B|² - (A.B)² (A x B) (Cx D) = (A C) (BD) - (AD) (B C)

A: Answer is in step 2.

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

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Q: If y=a-5.* and z=a-bs.y , then x is equal to

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Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

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Q: 4. Show that (1) SST = Cu – 9)* = vy - ng = v (1. -) (2) sSR= Em – )* = ³ X'y – ng° = v ( H - )v (3)…

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

Q: 3. If 4=(x+2y+az,bx– 3y-z,4x+cy +2=) is irrotational. Find constant a,b,c.

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Q: 2. If AWXY~AVTU find the measure of ZT. W (2r-2) (8x- 7) Y (3r - 6)

A: Given  ∆WXY~∆VTU To find ∠T

Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

A:

Q: If A = x° yz? î – 3x² z³ j + yz? k , then a² A at the point (1,0, 1) will be дхду 3 î -3) -3 î

A: The vector A is A=x3yz2i-3x2z3j+yz2k find ∂A∂y=x3z2i+z2k ∂2A∂x∂y=3x2z3i the point 1,0,1…

Q: Note /M=4.9 -Mx хе y" + 3M²y = – 4My' (2Mx +1)' 3

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Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law:…

Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: 3.11. dz, a) y:|z + 2| = 1; (z -1- 3i)(z + 2) 6) 7:|z +1- 2i| = 3;

A:

Q: 1. If (x and jy) = 3 + j8, find x and y.

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement…

Q: Consider the following problem; max(x? + 2y) s. to 5-x2-y 20 and y20

A: Given: The given "kuhn-Tucker" condition and  given equation is  maximum (x2+2y)  subject to…

Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

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Q: Show that if 0 <y<1, and Y ~ N(0,1), we have that 9 6 3 P\Y + %(x² – 1) < =] × + (V +1). -

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: If s = 4/t - 3, then %3D ds dt

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Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: If S(r) = 4r and D(t) = 2t + 5, find (S D)(1). %3D

A: Given:S(t)=4πr2D(t)=2t+5 To find: (S∘D)(t)

Q: 7. If WX= 14 and WR = 8, find RZ. W Y R:

A: We use pythagorus theorem for right triangle to find the side XR and it can be seen that RZ=XR

Q: AJKL-AABC AKLR ATSR J. K (5y) 2x-4 24 21 64 K T. 24 5x-4 S. A. 64 6y- 12 14 50% 30 B R. 11. x = 13.…

A: The corresponding angles of a similar triangles are equal. The corresponding sides of two similar…

Q: If W (2t - 1, y(t), 4t -7) = -20, then y (t) = O e +5 none O2-5 O 2 + 3

A: Wronskian of two or more than two function is used to chect the functions are linearly inedependent…

Q: if was T:R Linearidentifir grand father O KerT ImF

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Q: An expression that allows to calculate: 3ry |dr + + 5xy ) dy 4 3 Corresponds to: A) » LL- B) (-r²y+…

A: To solve this problem we shall use the Green's theorem. Green's theorem: Let C be a positive…

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: 11. (16D³ + 12D²2 – 1)y = 0 ; y(0) = 1, y'(0) = 0, y"(0) = –1

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Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

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Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

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Q: 21. If x2 + y? =1 and xy = 2 , find (x + y)'.

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Q: Define fet)= et +etcost if t>#7/2 solve y(3) - 2y (2) + ý' - 2y = f(t) y(0) = 1₂ y'(o) = 2, y"(0) =…

A: Given differential equation is y3 -2y2 +y' -2y =ft   with   y0=1,  y'0=2,  y''0=4Here, ft = e2t if…

Q: (b) If y=ae", express t in terms of a and y.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.