If SX = 7 and SX² = 21. A new variable Y is created by multiplying each X by 3. What are SY and SY² equal to?

Q: 2. Evaluate each using the values giver a. х 3 ソ-1 Y=1, when x = 5 and y = -2 %D

A: Given that:a. x.y-13; x=5 & y=-2b. z(x+z)+2; x=1 & z=5

Q: 4. Ifx, = 60 and x = 90, find each of the following: %3D a. (x, - 7) b. Σx-7 C. (x, + 2) d. Ex # 60…

A: Since you have asked multiple questions we answer only question number 4.

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

A: Given integral is: I=∫-3-5dww+1

Q: Solve for y: Ax + By = Cy + D.

A: Given Data The equation is Ax+By=Cy+D.   Evaluate the equation Ax+By=Cy+D by rearranging the…

Q: Given 2X+34= LIO-2 L13 -2 Find Xand Y

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Q: f(x) = x? + 2 – 6, b = 1, and n = 15

A: a. ∫abf(x)dx = ∆x(f(x0)+f(x1)+..........f(xn-1))where ∆x = b-an = 7/15therefore,left hand sum =…

Q: y = h(xlb)2.

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Q: 3. hlx) = n(IX+8) h'Lx)= ? X5+1

A: Please refer the attached image for complete solution. THANK YOU.

Q: O SS -İ 2 1 + √√ x² + y² ) dj d x

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Q: 100° |(x–10)* \(2y+24)°´ y is equal to _?

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Q: X -3 ar?

A: We have to divide (2x2 + 5x - 7) by (x - 3).

Q: Sketch the graph of f.

A: Given:            f(x) = x2+4x+4x2+3x+2 Factorize the numerator and denominator, to get…

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Q: Eliminate the Arbitrary Constant 1. Y? + Cx? – x = 0

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Q: If WX = s + 51 and TV = 2s, what is the value of s? W V S =

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Q: If h(x) = 0.8x, find the following. (a) h(4.5) (b) h(2.7) 7 (c) h

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Q: -1 dr =? x2 + 4x + 5 O A 3T 2 D. 37 4. B.

A: Solving the improper integral we have

Q: S(4) = S(x) df(2) dr?

A: f(x)=8x

Q: 3) 2хydx + (y? — х?)dy — 0

A: The given equation is of the form Mdx+Ndy=0where M=2xyand N=y2-x2to check the given differential…

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  &, z = 34    The detailed solution is as follows below:

Q: h(x)= Svarty ³ dr +² find d ах иск

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Q: Find the value of x to 38 (10x- 1)° O A. 11 о в. 3.5 O C. 38 O D. 7

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Q: og x + C Whe solution of - (За? — 1) 3x

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Q: 31° 43°

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Q: If D() = 400 + * and R(x) = 20x, find (D o R)(x). %3!

A: Given: Dt=400+t2 and Rx=20x. To find: D o Rx Solution: Composite function D o Rx can be written as:…

Q: e2x – 2ex = 15 e2x – ex – 12 = Q

A: here given equation are e2x - 2ex =15 e2x - ex =12 now subtract equation 2 from 1 so, - ex  = 3 ex =…

Q: If h(x) = 3x +1 and k(x) = x' + 3x, what is (hk)(2)? O a. 120 O b. 140 O c. 150 O d. 130

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

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: EX- (How) find inveNse femetion fex) 7 6-10X t+x8

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Q: 6). ADEF = ADSR E D. ZF= ?

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Q: E A

A: Topic = Geometry

Q: Find mZNIJ if MLHIN = 80°, MLNIJ = 2x + 9, and mZHIJ= 15x + 11. %3D H N

A: we have to find the angle NIJ

Q: C) L d X 27+7x+12

A: We have to find the integrals of the given functions.

Q: fa)if fcx)= V 3-x? ?.0<Xs Vi13

A: Explanation of the answer is as follows

Q: S(x, y) = x +2xy

A: From the given function: fx,y=x2+2xy We know that, to calculate the stationary point; ∂f∂x=0 ,…

Q: d. y = In(2x + 5)³

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Given h(x) = -5√2x+17+ 6... determine the value for -3h(-4)

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Q: find h(6)h(6)?

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Q: If h(2) = 4 and h'(2) = -7, find d(h(x) хр x = 2.

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Q: 6. Find mGH. 20x - 4 G 27x - 4 F

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Q: as x and the square of z, y= 150 when x yvaries jointly = 3 and z = 5. Find y when X = 12 and z = 8.

A: If x=3, z=5 then y=150 If x=12, z=8 then z=?

Q: If X~Exp(100), then the value of Pr(X > 15) is: а. 3 е 20 b. 1 С. -e 20

A: Exponential Distribution  The Continuous exponential random variable X has a density f(x) = λe-λx,…

Q: is my- lm Cy)-1=0 Solution

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Q: for each value of v, determine whether it is a solution to v/6+9=10

A: Given equation is:

Q: If x > 0, which of the following is equivalent to V5? Ix2 + x!/2 II. (a!/2)3 III. „³q-1/2

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Q: If x > 0 and y> 0, which of the following expressions is x-y ? Jx -Jy equivalent to

A: We will rationalize the denominator of the given expression to simplify it.

Q: If h(x)=12x+10 then h'(x)= ? %3D

A: Given hx=12x+10for inverse function intercharge the variablesx→hx and hx→x and solve for hx ,

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: Find the antiderivtive: (4x7 - 9x2 – 3 -da + C

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Q: oblem nd y(1 V

A: