7. Which of the following type of variation does the statement "y varies directly as x" refers to? A. Combined В. Direct 8. Which of the following will be the simplified answer for the radical expression V8- V32 + V2? C. Inverse D. Joint В. - 2 С. -2 D. 3

Q: if 0 <t < 3 10 if 3 <t < 5 if 5 <t < ∞, y' + 3y = y(0) = 7.

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Q: -5 dw 4) \a w+1

A: Given integral is: I=∫-3-5dww+1

Q: 2. Which of the following is equal to? X Y Y X XY

A: In second question , we can solve for 'x'. Firstly take L.C.M and cancel the terms and solve.…

Q: Suppose z varies directly with y and directly with the cube of æ. If z = 112 when a = 2 and y = 7,…

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Q: (d) ((~p) v q) Ar (e) (pA(-q)) v (r As) () - (4-r) (8) (p ^ (~q)) (h) p+ (- p) (1) ((~ p) → q) +-r…

A: The logical symbol "∨" is used to denote "OR" . The logical symbol "∧" is used to denote "AND" . The…

Q: 23. If y varies directly as a, and y = 12 when a = 4, what is y when a = 8? y = 12 y = 16 y = 24 y =…

A: Given y=12 when x=4 To find y when x=8

Q: 1.Which of the following is the value of x as y varies directly as x and k = 6 and y = 72 A. x-12 B.…

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Q: If z = 9x2 + y? and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz. dz =…

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Q: 10. Find the cquation of variation were a varies jointly as b and c and a 36 when b-3 and c-4. a.…

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Q: Given that y = x In (3x²), the value of when x -1 is 22. A 3 B In 3 C 1 + In 3 Đ- 2 + In 3 ere

A: We can solve this problem using chain rule of derivative.

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: 2 4 Ayz x = By + Cz' ||

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Q: 10. U V Y

A: 10)  The given triangles are congruent.   SAS Theorem: If two sides and the included angle of a…

Q: . If OM = 8 and MY = 9, what does XZ equal? a. 6V7 b. 2V17 c. V145 d. 30

A: Consider the given diagram, it is given that OM=8 and MY=9. here the objective is to find the value…

Q: Find y subject to the given conditions. y"" = 24x, y"(0) = 12, y'(0) = 6, and y(0) = 7

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Q: Fiud S (x ds for

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Q: Evaluate: / y6 sech(e7hny) tanh (e 7Iny) dy A) -sech(y?) +C 7

A: We know that    elnx=  x we use above result to determine the integral

Q: y y' = x=2, y =4 x+ Vxy

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Q: 7/12 16.r(sec 4.r) dr =?

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Q: y xy x2 y? 5 2 10 25 15 10 150 100 25 16 400 625 256 35 | 25 Q 1225 625 Σ

A: i solved exactly first 3 subpart because of bartleby policy if you want more please uplode…

Q: From HW 8.2 , #13 Find the value of each variable. 13. 45 30 X= y3 17

A: We have, x = 17√3  y = 34√2  &amp;, z = 34    The detailed solution is as follows below:

Q: If UV = x + 13 and RT = x - 37, what is the value of x? V R %23

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Q: 25. y = 5 cot r²

A: Please see the answer in Step 2

Q: If p varies jointly as q and r, and p=150 when q=18 and r=5, find q when p345 and r%3D9.

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Q: Find ох given that 2лу у? 2.xy ].x-[;] Y X Y

A: If we find partial derivative of any function f(x,y)  with respect to x then taking y as constant in…

Q: x' +y f(x, у) - (х,у) —> (1,14) as X+y

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Q: sec?xdy+cscydx=0

A: We can find the answer by solving the differential equation as below.

Q: dy 3. 9+y? メーNE _ xp

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Q: Which of the choices is the separated form of this DE? #* (y-x yーメ) xe ニ

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Q: suppose that M varies directly as z and that M= 120 when z=15.Write the quation that expresses this…

A: As M varies directly as z so, there is linear relationship between M and z. M is propotional to…

Q: e forward-dif ckward-differ

A: The values of x and fx are given in the table . To determine the derivative of the each value of x,…

Q: If b varies jointly with a and c and b =112 when a = 12 and c=7, find a when b=72 and c= 2. %3D

A: Given : b varies jointly with a and c. When a=12 then b=112 and c=7

Q: 60. If a publisher charges $15 for the first copy of a book that is ordered and $12 for each…

A: Basic equation problem

Q: d the exact value of sec 0 18 14 9/2 0/7

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Q: 0.5 0.3 0.4

A: Q2 We have to find the value of h

Q: for the indicated variable. Assume that all letters represent positive numbers. x2/a2 + y2/b2 = 1…

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Q: Find the distance between (-10, -3) and (12, 9). \/610                   b.      \/305          c.…

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Q: OLogz dz + 0. 프3 Select one: OTrue False x

A: The function Log(z) is analytic except when z is a negative real number or 0.   According to Cauchy…

Q: || S 37 I+zx/ xp x

A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: Suppose z varies directly with y and directly with the cube of x. If z = 1536 when x = 4 and y ,…

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Q: If y varies directly as x and k = 8, find x when y = 8. O 64 01 8.

A: This question can be solved using the concept of direct proportion

Q: Express u = (3,-10) as a linear combination u = rv + sw, where v = (5, 1) and w = (1,−1). (Use…

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Q: 13. SS R Y 3x² +1 proble dA R= {(x, y)| 0≤x≤ 1, -x≤ y ≤x}

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Q: Dist. (X) Height (y) 1 7 12 15 4 16 15 12 7 7

A: Given,   Dist.(x)   Height(y)      1        7      2       12      3       15      4…

Q: A. ($4.31, $7.93) with xt B. ($4.27, $7.78) with xỉ = 19.286 and x = 64.181 C. ($1.82, $3.34) with…

A: Confidence interval for Standard deviation is given by:

Q: 8. Simplify completely. Assume all variables are positive: y? /24y? – 8/3ys

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Q: If S, * g (x) dæ = -4and , g (2) dæ = Ss 9 (x) dx ? = -4 and 6, what is 10 -10 -2 2

A: Given

Q: 9. If ATLY~ ACHK, find the value of x. T. 10 25 K x + 5 4х - 1 Y

A: If two triangles are said to be similar triangles then all the three Angles of one triangle is equal…

Q: Given that x and yvary inversely and that y is 24 when x is 8, what is the value of x when y is 18?…

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Q: Use a change of variable to evaluate: -In 4 So dz 3+2e

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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.