What form of the particular solution is appropriate for the differential equationy" - y'=4?

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: Situation 1: A car stuck in a ditch is being pulled by two tow trucks. For the car to move, the tow…

A: We have to find the force in each cable.   Let FR = resultant force, FA = force in cable A, FB =…

Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: nd the interval of convergence for the given series. Σ(n+8)!(x+14)" n=0 se symbolic notation and…

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Q: converges

A: We have to determine the given series is convergent or divergent using integral test

Q: 2. Use the graph in Fig. 11 to determine the following limits. lim f (x) lim f(x) lim f (x) (b) lim…

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Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Let's find average velocity and instantaneous velocity.

Q: 25. Sa 2x²-10x +4 (x + 1)(x-3)² dx

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Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

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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) =

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Q: Evaluate the integra S 10x dx

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Q: Find dy if y=t² & t = √h and h = x² dx

A: Given data: y=t2 ,t=h and h=x2

Q: domain

A: Please refer to the image below

Q: b) Calculate the following definite integral: [*(√x - 3) dx

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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: 2. A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and…

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Q: Use the given conditions to write an equation in point slope form and slope intercept form. 7. Slope…

A: Here we need to find the equation of line. The solution of given problem is as follows.

Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: 3) Prove that : tanz = 올n(부를) In

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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: Which of the following is true? A differential equation involving derivatives of one or more…

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Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

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Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: Solve for a. 8. 9a 16 a² =

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Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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Q: 'm sorry the point is -3/2 (negative three halves) not -32

A: The Solution is given below-

Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: Let f(x, y) = axy + ax²y + y³. (a) div(grad(f)) : = (b) Find a so that div(grad(ƒ)) = 0 for all x,…

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Q: each) Determine the domain of given functions. Write your answers in interval notation. a.) f(x) =…

A: We have given function  (a)  fx=2x-42x2-x-6 Domain is the values of x for which a function is…

Q: Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

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Q: 1. Find the derivatives of the following function (a) y=4²+2

A: Given Equation: y=4x2x-3xx+2xx          .....................(1)y=2x+3x2+x+1…

Q: (1) In the given figure, ABCD is a square of side length 8 cm, BTRS is a square of side length 6cm…

A: Given data:- Part(1); Side length of square ABCD, a = 8 cm Side length of square BTRS, b = 6 cm Side…

Q: Calculate the cross product assuming that = (-2, -8, -2) u x w = (4u − w) × w = (100)

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = 15x - 21+5 sin (2x)…

A: GIven function:- fx=5x-2+5sin2x

Q: 32. Given f(x)- vix, describe the concavity of f(x). A. concavity cannot be determined B. concave up…

A: We have to choose the correct option from the given options according to the given information

Q: 5. Cleaning pumps remove waste from a dump site at the rate modeled by the function R, given by 2πt…

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

A: To find the difference quotient of the given function.

Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

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Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: Problem 2 a. If y(t) = x₁(1) * x₂(t) = e^(1+3)u(t+3), find z(t) = x₁(t+4)* x₂(t−5). b. If x₁(1) =…

A: In this question we have to find the values of the functions.

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: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: 4 9. 54 = a¹

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Q: Define g(2) for the given function so that it is continuous at x = 2. 2x²-8 2x - 4 g(x)= Define g(2)…

A: We can find the correct answer in the below steps.

Q: 1. Find the area of the surface generated by revolving the given curve about the x-a (a) y = 7x,…

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Q: Obtain general solution xcos2ydx+tanydy=0

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Q: y 10+ 8 6 4 2 2 6 8 100 10 X

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Q: 1) f(x) = *-1 x+2 Find a) f(1) b) f(a + 1)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…