4.y = C₁e-2x + C₂e³x

Q: For each pair of functions f(x) and g(x), find the following. F(x) = x³ +6; g(x) = = (a) f(g(x))…

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Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: Graph the solution of the system of inequaliti [x-y > 0 1 + y ≤ 2x

A: We can plot the graph as below.

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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Q: speed x HOSX< 1000 if Graph Ffor 0 sx s 100. F sxs F 1000 (100, 1000 (100, 1000

A: We have to make the function from given data and graph the function.

Q: 59. Horizontal; containing the point (-3,2)

A: find an equation for the line with given properties.

Q: 44. Given the alternating series: 1-+-+632... What is the error bound for an 80 term calculation? A.…

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Q: average

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Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

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Q: where  h ≠ 0. f(x) =  5 x + 4

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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: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is g v (t)-cot…

A: U

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: given goaph of f'(x)

Q: 4. Verify that the solution of the DE d²x dt² + k²x = 0 is x = sin(kt).

A: To verify that the solution of the DE d2xdt2+k2x=0 is x=sinkt.

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

A:

Q: 3. f(x)=; X+5 X-4 4. f(x)= |x-1| Find (a) f(-3) Find (a) f(-1) (b) f(-3) + 4 (b) f(-1) + 2 (c)…

A: Given functions:- 3. fx=x+5x-4 4. fx=x-1

Q: A rectangle has perimeter of 64cm. Write an equation which relates the length of the rectangle as a…

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Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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Q: JJD In Exercises 7-10, evaluate the given double integral over the quarter-disk Q given by x ≥ 0, y…

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Q: Recall the integration by parts formuala: Complete the following computation = [f(a)g'(x)dx =…

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Q: Evaluate the following Limits: 3 1. lim x418 2. lim 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: Here is the required solution:

Q: Find the integral involving secant and tangent. (Use C for the constant of integration.) Itan tan²…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

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Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Find h(x) and g(x) such that f(x) = (hog)(x). f(x) = √8x+6 Suppose that g(x) = 8x + 6. h(x) =

A:

Q: (3) Find the total area of the region trapped between y = sin x and y = cos x and lines x = and x =…

A: The equation of the curves are C1: y = sin(x) C2: y = cos(x) C3: x = π4 C3: x = 214 To evaluate: The…

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: The graph shows the depth it W in reservoir over a one-year period as a function of the number of…

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Q: 32. ³+x²+x+2 + 1)(x² + 2) dx

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Q: (b) y = √2-3x

A: y=2-3x

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

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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: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

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Q: Find the equation of the plane in xyz-space through the point P = (4, 2, 4) and perpendicular to the…

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Q: EXS- Find the roots of the following eq.: 2¹ - 22²4+4=0 Sol 8.

A: Roots

Q: 2. Determine the common ratio for the sequence: 1, 3, 9, 27, 81, ... a. 3 b. 3 Cc. -3 d./

A: Given query is to find the common ratio.

Q: integral

A: We have to calculate the given indefinite integral according to the given information

Q: 2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was…

A: Given 1. High tide at midnight t=0. 2. Water level at high tide = 9.9 feet. 3. Low tide at 12 noon…

Q: If f(x) = 47 +5√x + 13 and g(x) = 2x² + 5, compute the composition (fog)(3). (fog)(3) =

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Q: The age/weight relationship of a particular animal can be estimated by the function ,-0.03(1-58)…

A: Given equation:- Mt=3120e-e-0.03t-58

Q: Find the domain of the function. Give result in interval notation  f(x) = 8/√8−4x

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Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers…

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Q: Sy < 1/3 x 1²x + 3 X y ≥ 2x 12 z -

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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: Use the Midpoint Formula to estimate the sales of a certain company in 2005, given the sales in 2003…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  year sales (in…

Q: numbers a and b, or k, so that f is continuous at every point. 4) x2, x -4 A) a = -9, b = 20 120 15)…

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Q: Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

A: