Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of Integration.) /(x²- ²x² - 6x²- 1,4 - 12x - - 4) di Submit Answer - 4x + c dx

Q: A diabetes test is positive 85% of the time when the patient has diabetes and negative 95% of the…

A: Given data:- Diabetes test is positive 85% of the time when the patient has diabetes  diabetes test…

Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

A: Given problem:- If fx=x-1 is now restricted to domain x≥1, find f-1x and state its domain and range

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Q: 18. y = 3x + 2 20

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Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

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A: We have to find the sum  ∑j=16 8j + 5.

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

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Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

A: integration using partial fraction

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: B.Verify if a given function is a solution to a differential equation. 1 d²y dy 1x². +x=y= ln x dx²…

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Q: 3. xy = a², y = 0, x = a, x = 2a.

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Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Given f(x)=1xa=1

Q: 2. 3. (32²+7)dx=(2,₁¹²₁ )dy = 0 4) 1 xe²x dx + (5-1)dy = 0, y(0) = 0 1

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Q: 2.4 Write functions of the following graphs. 2.4.1 2.4.2 + -3 -2 -3 N 0 -1+ 34 2+ 0 - 2

A: Above question is solved

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A: Here is the solution:

Q: Evaluate the indefinite integral. 4 (t + 4)³ dt + C

A: Topic = Integration

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Q: Calculate the length of arc of y = 2x/² for 0≤x≤1

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Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: 2. Find the domain and the critical points of the following func- tions on their domain: g(x) = 3x5…

A: Concept: Domain: Domain of the function is the set of all the inputs over which the the function has…

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Q: dv/du = (uv)² — 2(u — v) — 2.

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Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…

Q: - -5 -4 -3 -2 1 - 1 y 5 3- N 1- 1 -2H -3- 1 2 3 4 5 X

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Q: 1. The graph of y=f(x) is given below. -4 2 2 -2 a) Find lim f(x) or state why it does not exist. 7…

A: Given

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A: We can answer the question in the following steps.

Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

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A: The solution is given below

Q: nd the radius of convergence, R, of the series. (x + 7)" 7n In(n) = n = 2 nd the interval, I, of…

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Q: What is the indefinite integral (anti-derivative) { cos(x) dx? ○ sin(x) + C cos(x) + C - sin(x) + C…

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Q: A- Find the solution y(x) of the differential equation +=(x), the initial dx conditions y(0) = 1, y'…

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A: I am attaching image so that you understand each and every step.

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A: The objective is to find the area of the shaded region.

Q: Answer A, B,C using the CALCULUS METHOD ONLY

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Q: If f(x) f'(x) = [ 7-x² 3+x² find:

A: Topic = Derivative

Q: EQUATIONS 5y" - (y) = y³ sin æ 4 x yy" + 2x = tan x ºr + (5) - w = 4et St2 88 SM - (SM) dy³ xt' +…

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