Use the substitution y(x) = t = -x to solve the given initial-value problem on the interval (-∞, 0). y(−1) = 4, y'(−1) = 3 4x²y" + y = 0, , X < 0

Q: quadrilateral ABCD are - Prove the *

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Q: Find the average rate of change of f(x) = 3x² - 2 on the interval [3, 6]. Your answer will be an…

A: f(x)=3x2-2 on interval [3,b]averare rate of change=f(x2)-f(x1)x2-x1

Q: The function f(x) = 2x³ - 30x² +54x + 4 has one local minimum and one local maximum. Use a graphing…

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Q: b. Consider the functions f(x) = 10x², g(x) = 100x, and h(x) 1.2⁰. Compare the intervals where each…

A: This is a problem related to graph function. Please follow the procedure given below.

Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT=…

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Q: Given that f(x) = 8x +3 and g(x) = 1-², calculate (a) f(g(0)) = (b) g(f(0)) =

A: Given that fx=8x+3, gx=-x2+1,and to find:  fg0

Q: x² + 4x +4 Since the numbers in this case are 2 and 2, we are going to split the middle term, 4x,…

A: We have to factor the given polynomial using box method.

Q: -{-₁-₁ Let S = , V₂ = VI V₂ V3 0 , V3 The augmented matrix corresponding to the equation a₁ V₁ +…

A: The given set S=v1=101, v2=220, v3=001. We have to find whether the vectors are linearly independent…

Q: Quadratic Formula Mar 19, 4:11:51 PM Solve for the roots in simplest form using the quadratic…

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Q: f(x) = x² + 3x + 2 g(x)=x+2 (-) Find (9) - The domain of (2)(a) is a Question Help: Video Submit…

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Q: 3,10,15)=(0,3,10,15) is statement true or false

A: we have to slove above question (3,10,15)=(0,3,10,15) is statement true or false

Q: Lisa sold 6 more than 3 times as many cookies as Mike and then sold 3 more at the end of the sale,…

A: From the given statement

Q: Which of the following graphs represents an even function?

A: Given query is to find the Even function.

Q: find the slope please ?

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Q: A contractor builds homes of 8 different models and presently has 4 lots to build on. In how many…

A: for arrnangements Prn=n!(n-r)!n!=n(n-1)(n-2)(n-3).....

Q: Given the following functions, find each of the values: f(x) = x² - 2x -8 g(x) = x + 2 (f+g)(-1) =…

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Q: The Tang family has four children. In how many ways could the Tang family line up for a photograph…

A: The tang family has four children.

Q: nd the number of combinations (subsets) of 9 things taken 5 at a time.

A: The number of combinations of 9 things taken 5 at a time is : 9C5

Q: A candy jar contains 8 red, 7 green, 2 blue and 3 yellow m&m. If a single m&m is chosen at random…

A: Given: A candy jar contains 8 red, 7 green, 2 blue and 3 yellow m&amp;m.

Q: Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when…

A: let  x1=no of shock replacement jobx2=no of brake replacement job He spends 2 hours when he replaces…

Q: Given the following data set, find the lower quartile: 12,13,5,8,9,20,16,14,14,6,9,12,12

A: We need to find out the lower quartile of the given data.

Q: Find the equation of the tangent line at the given value of x on the curve. y³ + xy² - 61=x+3y²; x=3…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Given the following functions, find each: f(x)=x²-5x - 14 g(x) = x + 2 (f+g)(x) = (f- g)(x) =…

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Q: Coats sold per day 60 50 40 30 20 10 (35,61) 35 40 m= -10 45 50 55 65 Average daily temperature (°F)…

A: To find the y-intercept for the given line of fit.

Q: Rewrite the expression using rational exponents. 5x√ Y 5

A: (1)  V=5xy56we know ab=(a)1b

Q: 14. g(x) = -f(x) g(x) = f(x) = (G)- 424 18 12 0 12) -18 -24 -30 X

A: Given that g(x)=-f(x) , where f(x)=(1/3)^x  To determine g(x) in term of x

Q: 5. Describe the transformations of f(x) = -√(x + 2)²³ + +3 from the base function g(x)=x².

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Q: Write an equation for a function that has a graph with the given characteristics. The shape of y= V…

A: The given function y=x. We have to find an equation of the function that is reflected about y-axis.

Q: Given functions h(x) = = interval notation. h(x) p(x) Domain of h(p(x)) : Domain of : Domain of…

A: Here we have to find the domain.

Q: The parabola graphed here is y=x² (a = 1, h = 0, and k = 0). How would you change the values in y=…

A: Given, y = x2

Q: Consider a set A and a function d: A × A → R that satisfies: • d(x, y) = 0 ⇔ x = y; • d(x, y) = d(y,…

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Q: Calculate the number of ways to generate a password consisting of 6 characters according to the…

A: First three distinct letters of the name. Since the first three letters must be distinct and cannot…

Q: nt remaining after 15 days is grams. swer to three decimal places. ite 0.123 as.123.

A: we will find the required.

Q: Suppose that f is a linear function such that f(3) =3 and f(7) =−4  Find the equation for f.

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Q: inimize g = 6y₁ +9y2 subject to 4y+3y2 2 26 Y₁ + 3y₂ 2 11. (a) Form the matrix associated with the…

A: We have  Minimize g=6y1+9y2Subject to4y1+3y2≥26y1+3y2≥11

Q: (fog)(14) = (ƒoƒ)(-8) X -8 -1 4 7 f(x) 15 -8 13 7 g(x) -8 -1 13 15 Question Help: Video (gof)(-1)=…

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Q: Let f(x) = = X x-5 = and g(x) 5 www. X . Find the following functions. Simplify your answers.…

A: f(x)=xx-5g(x)=5x

Q: Use the graph off to evaluate the following: 61 5 4 2 1 f(x) 3 X Submit Question 4 5 6 The average…

A: We have given graph of the function

Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

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Q: Maximize the function P = 7z - 5y subject to What are the corner points of the feasible set? The…

A: Given, 1

Q: Which binomial is a factor of 2x³-3x2-98x-48? Select one: a. x+12 O b. x+6 O c. x+16 O d. x+8

A: Given binomial p(x)=2x3-3x2-98x-48

Q: X, -2 0 2 У 3 3 3 (x,y) (-2,3) (0, 3) (2,3)

A: We are asked is this x=3 for the ordered pairs

Q: Please answer this question asap I will rate you for sure.     P(y)=t(dy/dx)-y^2.Determine if P…

A: see below the answer

Q: In questions 10-12, given r(x)=-3x, p(x)=x² + 3x, and g(x)=√√1-x, find the algebra of functions and…

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Q: T₁ T2 X1 X2 ([₁₂]) = [ X2 4x1 - 5x1 + 2x2 - 2x1 -4x2 (T₁-T₂) ([^^]); O 2 Ex: 42

A: We have  T1x1x2=4x1-5x1+2x2T2x1x2=-2x1-4x2

Q: m 3

A: Coordinate Geometry

Q: The air in a room 16 ft by 12 ft by 12 ft is 2% carbon monoxide. Starting at t=0, fresh air…

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Q: Problem #2: Let A = 2 -1 0 0 7200 0 0 -1 -1 2 OONT (a) Find the characteristic polynomial of A. (b)…

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Q: Solve log3(2-x) = 3. Give answer as a number. No variable.

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Q: Make-y the subject-of-x- x = 4y - y²1 I

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