An equation of the straight line normal to surface x2 - y3 + z = 8 at the point P(2, -1, 3) on the surface is given by : 4x - 3y + z = 14 4x -Зу + z%3D 8 4х + 5y - z%3D0 r (t) = (2 + 4t) i + (- 1 - 3t) j + (3 + t) k ,te r %3D r (t) = (- 2 + 4t) i + (1 - 3t) j + (-3 + t) k , te R %3D

Q: For synthetic division, what would be the number in the left hand box?* (4.°+2 +2+x+2x +14x+9 ) 3 x-...

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Q: 1. Factor the following fully d) 12x2 + 28.x – 24 e) 12x2 + 42x + 18 f) 12x? – 48

A: d) 12x2+28x-24=43x2+7x-6                        =4(3x2+9x-2x-6)                        =43xx+3-2(x+3...

Q: What is the x - intercept of the function whose graph appears below: 3 2 -3 -2 2 3 -2 -4

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Q: Read each item carefully. Write the letter of the correct answer on the blank before each number. _1...

A: A pair of opposite side is parallel and congruent.  According to guidelines we solve only first ques...

Q: 11. What are the coordinates of each vertex if the figure is rotated 180° clockwise about the origin...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Write a System of Inequalities for each graph. 3. y 4. y

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Q: 4. Use the graph of y tanx to find the value of y %3D = tan G1). Round to the nearest tenth if neces...

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Q: 15-=8+30

A: Let us consider an expression, a+x=b+c  So, x=b+c -a  

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Q: What is the family of the equation y=−2x2 +3? linear exponential quadratic   Create a table of val...

A: I am attaching image so that you understand each and every step.

Q: 19. Find the volume of the cone shown as a decimal rounded to the nearest tenth. 22 m 12m Not drawn ...

A: topic- volume of cone volume of cone =13πr2hwhere r is the radius of base of coneand h is the height...

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Q: is equal to 2. O True O False

A: topic - division

Q: 1 Given h(x) . x+1• find h-(x), @ n-(x) = X-1 A B ® h-(x) = 1+* h-(x) = 1-x 1-x O n-(x)= 1=×

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Q: 7. Write a function based on the given parent function and the transformations in the given order. P...

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Q: 2. Solve the following trigonometric equations on the interval 0 <0 < 2m: (b) 2 cos (0) + sin(0) = 1...

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Q: m z E= (4x- 9)°, m z F=(7x-3)°, and mz G=x°. Find the degree measure of each angle in the triangle. ...

A: Solution )we know sum of all angle in triangle = 180° ∠E + ∠F + ∠G  = 180° 4x - 9 + 7x - 3 + x = 180...

Q: 176 5. Use transformations to graph the function defined by h(x)=|x-4|-5. Identify the parent functi...

A: Note :- These are multiple questions. According to our company guideline we can do maximum one quest...

Q: 8. Factor the polynomial r– 2x2 - x-28 into linear factors. Begin by using a graph to | find a real ...

A: Given that polynomial fx=x3-2x2-x-28Solution put x=3fx=x3-2x2-x-28f3=33-232-3-28=-22f3≠0x-3 is not a...

Q: Given the piecewise function below x² - 2 if x<0 f(x) ={ -2 if Osxs3 if 3<xs 10 which among the choi...

A: We take f(x)=x2-2 and find the possible value of x.

Q: x(x +4)(5 – 2x) = 0 %3D

A: Given query is to simplify the expression.

Q: 3x - 2 if - 4sx1 find f(0) + g(T). A TT +1 B -1+ n? 2+ TI -3+ 1?

A: as f(x) defines in two segments x&lt;2 it gives x^2+2x-1 and if x&gt;= 2 it gives 5x-3 . so we have ...

Q: Find the values of x that make the given rational expression undefined. 56x-14 24x-6 O x= O No value...

A: We have to find the values that makes the given function undefined.

Q: An account executive deposited $54,000 into two simple interest accounts. On the tax-free account th...

A: Let's find. 

Q: Given that v(x) = 2 x² – 5x +2 which of the following is equivalent to v(0.5) + v(1)? A 2 B 19 -1

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Q: Three alrplones are travelling at constant speeds. For each, the distance traweled depends on time, ...

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Q: 1. Solve the following proportion: 12 -8 (a) -12 (b) -14 (c) -16 (d) -18

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: 5-3х, What is the inverse of the function c(x) = 3-х 3-х O c(x) = 5-3X 1-2x ® c-(x) =-x O c-(x) = 5-...

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Q: 10. 53x-7 = 128x+9

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Q: Select the correct possible values in the table. Cow Asian Elephant Mouse Cat Rabbit Horse Pig 465,0...

A: a) 3x 106  b) 5 x 105  

Q: Given the function find f(-4). f(x) = f(-4) = (Simplify your answer. Туре an integer or a fraction.)

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Q: 4. Use g(x) = 3x² - 12x+14 to complete the following. a. Identify the vertex symbolically

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Q: x-3 Given f(x) = , find the domain of f(x). dom f-1: (x|x €R B dom f1: {x\x ER\0} © dom f-1: {x|x €R...

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Q: using radians find the period of the function y = 9sin ( 1/8x) − 5

A: Given that y=9sin18x-5solution :if y=AsinBx+C-Dperiod=2πB

Q: Given a one - to - one function p(x) that passes through the point (0,5), which of the folowing is/a...

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Q: The demand function for a product is given by  p = 2000e−q/4. (a) At what price per unit will the qu...

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Q: lan was asked to simplify the following exponential expression: lan is having trouble finding the co...

A: Given query is to simplify the expression.

Q: Solve. The solution is -D 5x- y+ z = -5 %3D 3x+ 2y-3z = 27 %3D x-3y+2z - 25 %3D

A: The given system of equations,5x-y+z=-53x+2y-3z=27x-3y+2z=-25

Q: 9. [폴-12 y3 10. [ (x - y)2 ]1/3

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Q: 5. Multiply and write in standard form: (5 – 3i)(2+4i).

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Q: The table shows data obtained while heating a solid sample of stearic acid, a waxy solid used in mak...

A: A) Temperature changes with time. (for  0≤t≤3,  8≤t≤10) Temperature is constant. (for  3≤t≤8)

Q: Solve the quadratic equation 2x2-12x+8=3, rounding to the nearest hundreth.

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Q: 3. Determine in each case, if the given * is (i)commutative and (i)associative. a. On Z, a + b = a +...

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Q: (2- 5)(x-3) I- 5 10. Using the inequality y 2 answer the following questions: Will the border line b...

A: a) the border line will be solid  as there is equality sign .  b) put (0,0) in the inequality.  0&gt...

Q: Given the set of ordered pairs S={(x,3x), x €N}, which of the following is not part of the range of ...

A: Consider the set of ordered pairs  S=x,3x,   x∈ℕ  

Q: Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and ...

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Q: Which of the following functions is one - to - one? A h(x) = x³ – x² –2x B (x)=|2x – 1| © f(x) = x² ...

A: 1) for a one to one, function, or any value in it's domain there will be a unique value in it's rang...

Q: VI +5, 6. What is the domain of the function f(æ) Give your answer in interval %3D x-7 form.

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Q: Consider the following function. f(x)=−x^2+8x−15. Find the vertex

A: The function is given by fx = -x2+8x-15 To evaluate: The vertex of the parabola.

Q: Given the replacement value of x = -2, find the value of . x+1 2/13 113

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