Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx + b. (5,7); x+9y=8 The equation of the line is. (Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify your answer.)

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Q: If f and g are continuous functions with f(2) = 4 and lim [2f(x) − g(x)] = 2, find g(2). x → 2

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Q: A certain company recently sold five-year $1200 bonds with an annual yield of 8.25%. After how much…

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Q: (D³-D²-6D) y = 12x - 2 + 5e³x - 18 sin(3x)

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Q: 1. Given the vectors u = and v = , calculate 2v − 4u and |ū + v|.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: The measurement of the edge of a cube is measured to be 8 inches, with a possible error of 0.02…

A: The solution is given below

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Q: 4. y= x+1 X

A: Note: Since the student has mentioned to solve only question no. (4), so we are solving accordingly…

Q: 189. [T] x = 4 from y=0 to y = 2 190. [T] x = ln(y) on y = to y = e For the following exercises,…

A: See this solution in below.

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

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Q: Calculate how many liters (and gallons) of water arelost in 1 month by a toilet or faucet that leaks…

A: The faucet leaks 2 drops of water per second. one liter of water=3500 drops. 1 liters=0.265 gallons.

Q: 8. f(tan 2x + cot 2.x)² dx

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Q: n aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water. Find the work needed to pump…

A: Given that an aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water.

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

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Q: Which of the following is true about the differential equation of the family of unit hyperbola…

A: First we will find the differential equation of the family of unit hyperbolacenter at the line y=x.

Q: (B): use the directional derivative to estimate how much f(x, y) = cos(xy) + xy² Will change if the…

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Q: Part 2: Graph the linear equations using a table of values. 7) y = x + 2 X 7 4 0 -8 -6 -4 X+2 -2 6 4…

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Q: Which of the following = differential equation y' Show your solution A. y = 5 tan is the particular…

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Q: Find the Taylor polynomials of orders n = 0.1,2,3. and 4 about 2 = 20 and then find the nth Taylor…

A: Let the given function be fx=ex.We need to find its taylor series around the point x0=3.

Q: Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture…

A: Here we have given a continuous function: f(x)=kx2       : x≥2kx+14 :  x<2 If the given function…

Q: If f(x) = x + 7 and g(x) = x2 - 2, find the following: a. f(g(0)) b.g(f(0

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Q: Use the price-demand equation to find E(p), the elasticity of demand. x=f(p)=87-0.7 e P E(p) =

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Q: Find the inverse function of f(x) = √√8 +8. ƒ-¹(x) = Submit Question

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Q: 3 y Find the length of the curve x = 9 + 3 4y on 3 ≤ y ≤ 5.

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Q: Evaluate each limit, if it exists: x²-4 a)lim 22-4 X-2 1-x² b)lim x-1 1-x x²-4x x-0 x(x-1) c) lim

A: Here we have to find the limit of the functions.

Q: a coordinate line, where s is in feet and t is in seconds. s(t)= t³-15t², t20 (a) Find the velocity…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Let f(x) x - Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: 4. If P1000 becomes P1126.49 after 4 years when invested at a certain nominal rate of interest…

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Q: lim 8个8 5x 2x² +9

A: To find the limit of given function.

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A: A differential equation is called linear if the equation is free from the product of dependent…

Q: Solve the given linear differential equation.Use C as the constant of integration in your solution.…

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Q: A function is given g(x) = 5/x; x = 1, x = a Determine the net change between the given values of…

A: A function is given gx=5x; x=1, x=aTo determine the net change between the given values of the…

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Q: A heavy rope, 70 ft long and weighing 42 lbs, hangs over the edge of a building 100 ft high. How…

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Q: ind the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: y=8x3,y=0,x=1 about x=2

Q: Evaluate the limits. (You may not use L’Hopital’s Rule). limx→infinity tan^−1 (ln(1/x^2 + 2e^-x))

A: Evaluate the limits.limx→∞tan-1ln1x2+2e-x

Q: ← If √7-6x² ≤ f(x) ≤ √7-x² for -1 ≤x≤ 1, find lim f(x). x->0 lim f(x) = x-0 (Type an exact answer,…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: 5. 2w² - 5w+ 11 = 0 6. 7q²-3q + 1 = 0

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Q: Evaluate the integral, which has irreducible quadratic factors.       7 (x − 7)(x2 + 2x + 9) dx…

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Q: Let ?(?)=4?2−4?−4.f(x)=4x2−4x−4. The secant line through (2,?(2))(2,f(2)) and…

A: To find out the slope of the secant line and also slope of the tangent line at the values given.

Q: For which value of c, the limit lim f(x) exists? x→6 C = f(x) = 6x + c -4x+7 if x < 6 if x ≥ 6

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Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a 5 is y 8x - 6.…

A: Given y=f(x)

Q: K For the function g(x) graphed here, find the following limits or explain why they do not ex a. lim…

A: Since multiple subparts are asked, I am answering first 3 subparts