21. f(t) = 4t 10

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A:

Q: Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except…

A: Solution is here

Q: Find the derivative of the function using the definition of derivative. F'(v) = F(v) = V V + 3 3…

A:

Q: Draw the region of integration and reverse the order of integration to 1 I T.C. Y evaluate the…

A: The given integral is: I=∫01∫y1ex2dxdy The bounded region by the curves x=y, x=1 from y=0 to 1 is as…

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A: The objective is to find and and sketch the domain of the function.

Q: F Amplitude: Period: 856 Based on the graph above, determine the amplitude, midline, and period of…

A:

Q: dy/dx-3y=0,y(0)=2 solve by Laplace T. * f(s) Option 1 = - 1²/2+5²2²232 S-3 y=2 e³t

A: Given :dydx-3y=0     , y0=2

Q: Use the graph of y=f(x) shown to the right to graph the following function g g(x) = -f Choose the…

A: see below the answer and explanation

Q: x that makes each statement true. 15. 3 - 2 -X 4 = - 9 16. y². y² =

A:

Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: We have given a vacation house is rented.  Let,  x represents numbers of days C(x) represents cost…

Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

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A: Concept: The sum of the discrete data is indicated by the integration The area, displacement, and…

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A:

Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

A:

Q: 17.) Find the derivative using the quotient rule. f(x)

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Q: 6 2²{ - 2s-8) 01 02 03 C 4+2 ett

A:

Q: Solve (a) A x+2y-4 y-2x+3' (6) > c-y-1-

A:

Q: 4. Determine the domain ONLY of f(x) = 4-x x²_9

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Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

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Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

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Q: 2) Suppose that f(3) = 2.5, g (3) = 5, f' (5) = 2.7, f' (3) = 6.2, g (3) = -4, and g' (2.5) = 8. Let…

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Q: or For the given function f(x) and numbers L, c, and e> 0, find an open interval about c on which…

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Q: Find an equation for the line tangent to the curve y = (√x + 8)(x4 + 3) at x = 1. y =

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Q: Indicate whether the following equations are true or false for all integrable functions f. a) b) c)…

A: a) We know that properties of integration,…

Q: Find the horizontal and vertical asymptotes of the graph of the function f(x) = 3x³ √16x6 + 1

A: We need to find out the Vertical and Horizontal asymptotes of the function given below:

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A: Given, A company that sells calculators has determined that the revenue generated by selling x…

Q: Find the general solution of each of the following. rdp-(p+√pr)dr=0

A: Our Aim is to find the general solution of the following given below:-rdp-p+prdr=0 -(i)

Q: 3x-2 X→ 4x +3 Evaluate Lim A. 4/3 B. 3/4 C. 5/4 D. 1

A:

Q: 20. 8] n=1 2² 5n+10

A: D'Alembert Test: Let ∑n=1∞un be a series such that, limn→∞un+1un<1 Then this series is…

Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

A: see below the answer and calculation

Q: Use the Chain Rule to find dz/dt. z = xy² - x²y, x=t² + 1, y = t²2² - 1

A:

Q: In Exercises 9 and 10, use the graph to find (i) lim_f(x), (ii) lim f(x), (iii) lim f(x), and (iv)…

A:

Q: At which value of y does the relative minimum for the curve y = 3x³ 3x² - 24x + 10. A. -19.5 B. -26…

A:

Q: Find the equation of the tangent line to the curve xy+x=2 at the point (-6, -4/3). Write the answer…

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Q: The failure of several O-rings in field joints can result in a fatal space shuttle crash. Data from…

A: For the asymptote function become infinite. We can solve this as follows,

Q: 2. Consider the equation du = -0.5y²(y² + 1)(y² − 4)(y + 1)esin y (a) Find all equilibrium…

A: To find the equilibrium solution of the differential equation , set the differential equation to…

Q: If z is a differentiable function of x and y satisfying the equation sin(x²z+ny²) + 2x³ = yz² + 2,…

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Q: 1-sine 8-π/2 1+cos20 3) lim

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Q: LX X y = Cre²x cos 3x + Cze ²xsin 3x

A:

Q: Find all the second partial derivatives. f(x, y) = x6y5 + 2xºy fxx(x, y) = fxy(x, y) = fyx(x, y) =…

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Q: expression in the form x" . Simplify your answer as much as possible, and enter your answer as a…

A: Solve the value of n

Q: -23+-13

A:

Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A: We need to find rate of change.

Q: Evaluate ㅠ * 0 sin (9x) sin(5x) dx.

A: To evaluate the following integral.∫0π sin9x sin5x dx

Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: The given equation is; [cos(x+y)+cosy-3x2]dx+[cos(x+y)-xsiny+ey(y+1)]dy=0

Q: How to know if an equation is a solution to a first order differential equation? Please give clear…

A: To explain how an equation is a solution to a first order differential equation.To use the following…

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

Q: b) ay+3y=0; y(1) = 2,

A: We have to solve the given differential equation. According to our guideline we are supposed to…

Q: 0:0(0-¥x)+XP(46+2)

A: