Solve the given initial value problem. y" - 2y' + y = 0; The solution is y(t) = 7 y(0) = -3, y'(0) = - 4

Q: The line: x = 1 + t, y = 2t, z = -3t intersects the plane x+y-z = -4 at a point Po Enter the point…

A: Given that, the parametric form of a line and the equation of a plane  x=1+t,  y = 2t,  z = -3t…

Q: Find an equation of the plan through t Point R (3₁-6₂7) and parallel to the plas 5x = 0 - 2y +2=

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Q: Find the future value for the ordinary annuity with the given payment and interest rate PMT= $3,000;…

A: PMT=$3000r=1.30%=0.0130t=10 years  Compounded quarterly m=4 r'=rm=0.01304=0.00325

Q: ||| Toi cac (a) (c) O GRAPHS AND FUNCTIONS Matching parent graphs with their equations Choose the…

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Q: Question 6 Find all whole number solutions of the congruence equation x= 17 mod 7. O (3, 10, 17,…

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Q: For each function, determine whether it is a polynomial function. Function (a) f(x)=-8√x (b) h(x)=7-…

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Q: x₁ = Let y [$] and = Write y as the sum of two orthogonal vectors, x, in Span (u) and x2 orthogonal…

A: y→=5-9 and u→=-2-6

Q: Which of the following rational functions is graphed below? -10 10 -10 O A. F(x) = 1 (x + 1)² 10

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Q: Use the Laws of Logarithms to expand the expression. loga (5)

A: loga (x5 / (y z6 )  Expand the expressions using law of logarithmic

Q: 2. When the expression (156)(205) (557) is evaluated, it ends with a string of consecutive zero's.…

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Q: he function. f(x)=√x-4 four points on the graph of the function: the leftmost point and three addi…

A: f(x)= √x-4

Q: K2. If ƒ(x) = 9 — x², what is the domain of f(x) O{y € Ry # 0} O{x ≤ R} O{æ €R|æ # -3,3} IDI 07

A: f(x)=9-x2let  B=1f(x)B=19-x2for domain 9-x2≠0

Q: ever become greate 20. The table below shows census data from a particular state. Population Total…

A: Census data from a particular state. Total population of the entire state = 12,742,886

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: Concave up and down. f''(x) > 0  f''(x) < 0

Q: Consider the statement that 3 divides n³ + 2n whenever n is a positive integer. Outline the proof by…

A: Given that , 3 divides n3+2n for  positive integer n. Hence

Q: 3 24 Find the exact value of sin(u+v) given that sin u = 5 and cos v = - (Both u and v are in…

A: Sin(u+v)=sin(u).cos(v)+cos(u).sin(v)

Q: You invest $2500 in an account at interest rate r, compounded continuously. Find the time required…

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Q: You are shopping around to determine which bank account yields the highest return. You have three…

A: For compound interest we have the formula: A=P(1+r/n)nt   Where,     A=Final amount.    P= initial…

Q: rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of…

A: Volume of container = 20 m3 The width of base = x  Then length = 2x   Volume=…

Q: Question Description Graph the given inequalities on the number line. −4 < y < −2

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Q: f(x)= 2√x+4 Plot four points on the graph of the function: the leftmost point and three additional…

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Q: The number of bacteria P (t) in a certain population increases according to the following function,…

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Q: In the problem, find the miimum value of z = 4x + 5y, subject to the following constraints: 2x+y≤6;…

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Q: Given that cos JU 12 = - (√6 + + √√√2), find sin 4 JU 24

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Q: What is x^2+y?

A: Given expression.  x²+y

Q: K3. What is the equation of the horizontal asymptote for the function f(x) Oy=0 x²+3x³-2x x³-27 4…

A: The given function fx=x2+3x3-2xx3-27. We have to the horizontal asymptote of the function.

Q: Approximately how many fewer books has Dr. Seuss written than Agatha Christie, expressed as a…

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Q: For each function, determine whether it is a polynomial function. (a) u (x): Function 1 X (b)…

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Q: The number of mosquitoes, M(x), in millions, in a certain area depends on the June rainfall, x, in…

A: M(x)=22x-x2M(x)=Number of mosquitosx=Rainfall in inches

Q: 6. The figure at the right shows an angle 8 in standard position with its terminal side intersecting…

A: Given co ordinates of point P P( -513 , -1213 )  so we can conclude as x = -512y = -1213

Q: -3 -2 2 0 -2 2 4 K 5 6

A: A graph of the rational function is given. We have to find the equation of the rational function.

Q: COMPLEX NUMBERS Find the three solutions to z³=-i and draw these on an argand diagram. You must…

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Q: Rebecca earned $2,995 as interest by lending a certain amount at 1.00% p.m. for 8 months. b.…

A: Given that Interest amount = $2995 Rate of interest = 1% Time = 8 months .

Q: Suppose that the functions p and q are defined as follows. p(x)=2x+2 q (x) = -x² - 1 Find the…

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Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

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Q: suppose th the functions u and w are defined as follows. u(x) = 5x-5 w(x)==x+2 Find the following.…

A: u(x)=5x-5w(x)=-x+2

Q: Teresa, josh, and Felipe served a total of 113 orders Monday at school cafeteria.Josh served 4 times…

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Q: The function f is defined as f(x)=24 + Find f (x-6). Write your answer without parentheses, and…

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Q: If Ahsoka never adds or removes money from her account, approximately how much money will be in her…

A: For question -3 A(t) = 300 (1.04)12t

Q: Identify the graph of the h(x)=√x+3-3. -2 2 --2 2 4 X

A: fx=x

Q: Find the present values using the given discount rates. Payments of $5,000 at 6 and 8 years…

A: The solution is shown in step-2

Q: The shape of a wine barrel shown below can be obtained by rotating the shaded region bounded by a…

A: The solution is shown in step-2

Q: Use a matrix method to solve the following system of equations 3x-3y+z=5 4x + y + 2z = 3 5x + 3y +…

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Q: Prove that if A is infinite and ACB, then B is also infinite.

A: Given: A is infinite set and A ⊆ B We have to prove that B is also infinite.

Q: Sess und scuba diver for an aquatic research organization is scouting locations where a new derwater…

A: Given data

Q: Below is the graph of y=-x/. Translate it to make it the graph of y=-x-2 +3. 4 2 N -N 4 6 X Ś

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Q: The sum of three numbers is 58.The third number is 2 times the first.The second number is 6 less…

A: Given,            The sum of three numbers is 58.The third number is 2 times the first.…

Q: Determine the x-intercept of the line passing through the points (4,8) and (-8, 8). If the line has…

A: Line passing through the points (4, 8) and (-8, 8).

Q: The domain of any quadratic function is all real numbers. True False

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Q: Ex. 2. Solve the differential equation (a) (b) y' + e* = e-y. y' + ey = ex+y

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