S (72³ + 4a²) dæ

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 lim f(x) = -2, X → 2- lim f(x) = 2 and f(...

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Q: The size of a certain insect population is given by P(t) = 100e , wheret is measured in days. At wha...

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 4 - x^2 and x=0 from 0 to...

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Q: What is the slope of the tangent line passing through y = x^2 − 3x − 5 at (−1, −1)?

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

Q: y= ex between x= 1 and x = 4

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Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is ...

A: We can find the vertex as below

Q: Suppose the position of an object moving in a straight line is given by s(t) = 4t + 3t+ 4. Find the ...

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Q: Solve the given initial-value problem. y"' + 4y" + 4y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -6 y(x) = %...

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Q: Evaluate the definite integral 4 sin(x)dx

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Q: S sin?y dy

A: Here we will solve given integral,

Q: 4. DETAILS SCALCET9 2.5.037. MY NOTES ASK YOUR TEACHER Use continuity to evaluate the limit. lim In ...

A: Solution )4) limx→1ln(7 - x2/1 + x ) = ln [( 7 - 12)/( 1 + 1 )] = ln (6/2) = ln 3  = 1.098 5) limx→-...

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y? = 2x + C. y...

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Q: Q1. x= [5, -3, –1, 2]" is a 4-dimensional vector. Calculate the following values: 1. the squared l2-...

A: Given 4-D vector: x=[5,-3,-1,2]T We have to find the Norms of the vector. Norm is the magnitude of t...

Q: f(x + h) – f(x) f'(x) = lim h-0 %3D h bsnd Diffeentinble A) 7xh2 B) 9x2h C) 5x2 D) 9x2 5) Given (x")...

A: Given that: 4. f(x+h)-f(x)=9x2h+7xh2+5h35. (xα)'=αxα-1

Q: The area in the first quadrant, bounded by the curve y=2x 1/2 , the y-axis and the line y-6=0 is rev...

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Q: Find the average rate of change of the function over the given intervals. 3 f(x) = 9x +9; a) [1,3], ...

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Q: Which of the following functions creates the graph shown? (-x/2, 4) (5л/2, 4) 5.

A: The given graph is:

Q: II. Select all possible answers. Observe the continuity of each function using the corresponding gra...

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Q: II. Find the limits of the ff by applying the techniques of evaluating limit theorems. x2 + 4x + 3 1...

A: We can solve the questions to find the limit as below.

Q: logbx = .36 logbz = .83

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Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: Which of the following ordered pairs satisfy the 7x+8y0? а. (1,-5) b. (5,-1) . с. (1,1) • d. (0,0)

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Q: Find the general solution of the given second-order differential equation. у" - у' — 20у %3D 0 y(x) ...

A: Given that: y''-y'-20y=0

Q: Given the function f (x) = tan(3x) with the domain -5,5, choose the correct responses to complete th...

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Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

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Q: dy dx こD > SOLYE FOR THE GENE

A: Please refer to the image below 

Q: For a function f integrable on [a,b], its average value on [a,b], also called its mean, is given by ...

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Q: Let " 12.5 9.5 12.5 f(x) dæ = 9, f(æ) dæ = 5, | f(x) dæ = 2. 8. 11 11 Find f(æ) dæ 9.5 9.5 | 9f(x) –...

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Q: 1. The angle of elevation to the top of the Empire State Building in New York is found to be 11° fro...

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Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no odometer...

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=...

Q: Consider IVP: y' = y² + t², y (0) = 1. Using Euler's method with time step h find y (2) . 0.5.

A: Euler's method yn+1=yn+h⋅f(tn,yn)where  tn+1=tn+h

Q: Evaluate the integral 3 sin(t)dt

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Q: Use Part 2 of the Fundamental Theorem of Calculus to decide if the definite integral exists and eith...

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Q: Find the general solution of the given second-order differential equation. у" — 10y' + 26у %3D 0 y(x...

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Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible. l...

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Q: Example: Given the right triangle shown below with side lengths a = 5, b = 9, and c = V106 , find th...

A: Given:     a = 5     b = 9     c = √106

Q: das sdas :: consider the curve satisfying yll =6x and is tangent to the line y=5-3x at x=1. what is ...

A: Given that: Curve y''=6x and tangent to the line y=5-3x at x=1

Q: Solve the inequality and write the solution in interval notation when possible. Express numbers as i...

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Q: Suppose that f is integrable, and that f(z)dz = 3 and f(z)dz = 6. Find the value of the following de...

A: We have to find ∫45fzdz    and   ∫54fzdz 

Q: ative of the function using the definition of derivative. 1 x) = 6 + Vx %3D ain of the function. (En...

A: Please refer to the image below

Q: Stadium has 52,000 seats. Seats so for $28 in Section A, $24 in section B, and $20 in section C. The...

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (cos(x) if...

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Q: For the function whose graph is given, state the value of each quantity, if it exists. If it does no...

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Q: Use this definition to find f'(a) at the given number a. f(x) = V5x + 1, a = 3

A: First we find out f'(x) then put x=a=3 in f'(x).

Q: Find an equation of the tangent line to the curve at the given point.

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Q: For the curve whose equation is given by z -3xy +y-4x+2y+1-0, deline the equalion of the tangent lin...

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Q: A spherical balloon is Inflated with gas at à rate of centimeters per minute. (a) Find the rates of ...

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Q: 16) Find [2 f(x) - 3g(x) ]' = at x = 1 A) - 9 B) 11 C) - 1 D) 7 17) Find [g(x)f (x) ]'=_ at x = 3 A)...

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Q: Drawing Example 1: Use the definition to find the derivative of the function f(x) = x? - 2x Solution...

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