Which of the following is the complete set of roots of the auxiliary equation fory""-3y+3y'-y = 0.

Q: 7. Calculate the Present Value of the investment described in the table. Compounding Period Time…

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Q: E] Find the zeros of the function f(x) = 3x² - 6x + 2 F] Find the points of intersection of y = x² -…

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Q: 200N 30° 60° 300N 60° 300N 400N Find the resultant and Ø of the concurrent force system shown

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Q: Find an equation for the plane through the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2). The plane is

A: Find an equation for the plane trrough the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2) .

Q: 4 = √² 43 √8-7x8 dx

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Q: olve the initial value problem dy ¹y = x² + 3 + e²x, y = −1 when x dx

A: Topic:- differential equations and integration

Q: Find the difference quotient and simplify your answer. f(t) = 1 / t-4,  f(t) - f(3) / t-3,  t ≠ 4

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Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: What is correct form of the particular solution associated with the differential equationy"=8?

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Q: Practice Composition of Functions Given f(x) = 2x² +8 and g(x) = 5x - 6, find each function. 1.…

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Q: f(x)= = √16 − x^2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For f(x)=3-25², evaluate ƒ(2). O-3 O 5 O -1

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Q: 2. Determine the regular monthly deposit required to accumulate $10,000 in 5 years at an annual…

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Q: For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x +h)-f(x)] /h. 11…

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Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: Find the projection uy = (x, y) of u = (6, -7) along v = (1,2). (Use symbolic notation and fractions…

A: Topic - Projection of vector Projection of vector u along v=u.vv2v

Q: 58)941

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Q: Express the following functions in the form utiv • f(Z) = ln (1+z) P

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 8x − 3 f(2x)  =…

A: We have to slove above questions

Q: upward. flux = Compute the flux of the vector field F = 5xzi + 2yk through the surface S, which is…

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Q: -10 -10- 0 -5 5 10

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Q: You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents…

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Q: does the sequence an converge or diverge? Find the limit if the sequence is convergent…

A: givenan=cos(3pi2 - 6n)

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: n Exercises 1-8, evaluate the function at each specified value of the independent variable and…

A: Given:- fx=3x-7 To find:- f3 f-2 fa

Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: ∞ Use the equation = Σ x” for |x| < 1 to expand the function in a power series with center c = 0.…

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Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

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Q: a. Graph f(x) = 9-x², x*-3 X = -3. 5, b. Find lim f(x) and X--3- c. Does lim f(x) exist? If so, what…

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Q: Find the average rate of change of the function from x=1 to x=4 of f(x)=-8/x^2

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Q: 51. Lim ex-1 хто егу +2ex-3

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Q: Find the power series for f(x) = 24x³ in the form Ea (1-x4)² n=1 Hint: First, find the power series…

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Q: Write an equation of the plane with normal vector n (7,5, −4) passing through the point (1, −5, 1)…

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Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. n=0…

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Q: Re-write the given equation in slope intercept form, give the slope and y-intercept, and graph the…

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Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: Let A = (3, 4, 2), B = (-1, 4, 4), C = (-2,−1,0), and D = (2,−1, -2). Find the area of the…

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Q: 3 TT The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

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Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

A: Given:- Find a vector parametric equation r⇀t for the line through the points P=4,-3,4 and Q=3,-6,2…

Q: Procedures and Problem Solving Library of Parent Functions In Exercises 5-8, use the graph of the…

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Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: Use the graph of f(x) to evaluate the following: 4 3 1 f(x) 2 + LO X 6 The average rate of change of…

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