Find the rule that describes the piecewise-defined function. (Type an exact answer, using radicals as needed. Do not factor. Type integers or simplified fractions.) if x< O A. f(x)=. if < x≤ C -107-5,72) (-2,4) Ау 10- (3/9) Q

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: The following statements are true EXCEPT A. Sa f(x) = 0 B. fk f(x) dx = k f f(x) dx for any real…

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Q: a/ the point (-2,-2√3) It is the Cartesian re ion of representation the polar vector (4, II) 3

A: Above question is solved.

Q: 0 Solve the seperable differential equation. dy = 0.24 dx & find the particular solution satisfying…

A: Given problem:- solve dy/dx =0.2y , y(0) =-2

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Q: State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Let's solve.

Q: dy ex sin² ey f • TAN e +c - 3

A: To determine whether the given statement is correct or not.

Q: 2. y (0) = Find the solution to the differential equation below satisfying the condition -2. x…

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Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: 43. f(x)=x³-9x² +15x+4

A: Given problem:- Sketch the function and Ensure you are finding everything you can about the function…

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Q: A certain radioactive substance is decaying so that at time t, measured in years, the amount of the…

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Q: -1 If f(x) = e*, calculate f '(2). ƒ' (2)=-4e² ƒ' (2) = = = = √² ƒ'(2) = = √₂ None of the above O O

A: Given f(x)=e-x-1, we need to calculate f'(2)First we need to find the derivative of…

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A: This question is based on Sine function.

Q: 6) Find The derivative of yo

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Q: Question: 4 Find the value of "k" such that the function f(x)=x² + kx-6 satisfies the hypothesis of…

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Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find the…

A: Topic = Limits

Q: Express the area in terms of integration. A. 1² (y + ²) dy B. L²(y + 2) dy C.S (y + 2) dy D. ³₁(y +…

A: Let's find area in integration term.

Q: Use the Fundamental Theorem of Calculus to evaluate ∫12 1/x2 dx. A. -1/X+C B. -3/4 C. -3/2 D.…

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Q: If it was 3 A = [ ²³₁ 4 So [20 0 8 A² = 11₁3 - A 51 41 A² = [¹64] - B 9 -C 20 A² = [13 A² = [16 9 5]…

A: To find the square of the given matrix.

Q: 3 2 Find the area bounded by the two curves y = x³-6x²+ 8x and y = x² - 4x

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Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: The ratio of the distances a driver and a -iron will drive a golf ball is 5 to 4 averages 152yards…

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A: We have to solve given Questions.

Q: Find te dx

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

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Q: An object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: √ √3x + 4 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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Q: -1 If f(x) = e calculate ƒ '(2).

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Q: fidencos 3 Evaluate If (n²7y) dv kabrood if G. As the solid bounded by is the parabolic cylinder…

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Q: Find the relative extreme values of p(x) = 20 5 - 3x3

A: Here we have to find the relative extreme values.

Q: 5) By using the method of undetermined coefficients, if the term of (r(x) = 3x² cos 5x), the exact…

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Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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Q: The table below lists the number of homes sold by a real estate company in 2010 and 2015. Let t =…

A: a.We need to write a linear model,   n(t)= mt + b  Given, n(0)=200 implies,  m×0+b=200 ⇒ b=200And,…

Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

Q: Express the repeating decimal as a fraction. 4.474747...

A: Let the given decimal number be x

Q: Determine all the values of x, 0≤x≤ 2, for which the slope of the tangent to f(x) = sin x tan x is…

A: We have to find solutions

Q: 13 Given the matrices A = - B 1 -1 3 4 the matrix X in the equation A (X + 3B) = C. X = 2 and C= -3…

A: A=111-1, B=1334 and C=-3032

Q: Evaluate Hf [n²ty) dv G₁ kebrood if G is the solid bounded by an ounded by 2013 the parabolic…

A: Integrate with respect to  z ,y and x and put limits respectively .

Q: Give a limit expression that describes the left end behavior of the function. 2+7x+8x² f(x) = Select…

A: We can solve this as follows:

Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

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Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: Problem 7. Find each of below for the function x+5, f(x)=3, 23 1, 2< (a) f(1.9). (b) lim f(x). (c)…

A: Solve the following

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

A: The radioactive decay rate is proportional to to the amount of substance is present at time t.…

Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: Using the sum and difference of cosines formula, find the exact value of cos(5π/12)   Enclose…

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Q: 11. Find the area of the region bounded byy = (x - 1)² + 1, the x -axis, x = -1, and x = 2. A. -6 C.…

A: Here we are using integration method to find the area of the given region.