Given: f(p) = 2 Choices: (2p+3; p<1 ; p = 1 p>1 Evaluate lim f(p). P-2 a. b. 5 7-2p Limit does not exist c. 2 d. 6

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

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Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: How would the triangle be drawn for this problem ?

A: Given: In a baseball field, a drone is flying directly between the first and second base. Distance…

Q: Let k(x, y) = = ex cos(x + 2y). For any (x, y) E dom k, evaluate 2k(x, y) + 4ky(x, y) - kry(x, y) +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: A company produces and sells 1440 tables each year. Each production run has a fixed cost of $200 and…

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Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

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Q: What is the first derivative of s(x) Select the correct answer below: O 12(28¹¹) O 28¹2 (31n 28+ O…

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Q: B: Evaluate the following: r (4)r (²) 1-

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Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

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Q: lve (a) da 2y X x²

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Q: Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

A: We can find the limit as below.

Q: 2y + [[ 2-y]] lim Y>-2- y² +Y-2 lim Y→-2+ 2y + [[2-y]] y² +y-2

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Q: -y = 16x³ + 4√x +5x

A: Given  y = 16x3 + 4x + 5x We have to evaluate the derivative of this.   We know that ddxxn = n·xn-1

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: The equation of the circle with the centre   ( h, k) and radius r is given by      (x - h)2 + (y -…

Q: dy dx = 4x+xy² y-x²y

A: Topic:- differential equations

Q: determine the general equation of the tangent plane to the surface of parametric equations: x = 1 +…

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Q: Given g(x) = x¹1 - 3x + 2, find the x-coordinates of all local minima using the second derivative…

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Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

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Q: ข 4 35 -7 16 2 -2 1

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Q: Find the rule of a quadratic function whose graph has the given vertex and passes through the given…

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Q: Find all values x = a where the function is discontinuous. if x 5 O a = 5 O a=0 O Nowhere O a = 0,5

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Q: 3.2 ff (u x + y)² dx dy Ő

A: When integrating with one variable the other variable is treated as a constant. When the limits of…

Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: Eliminate A and B from the relation y = Ae²x + Bxe²x

A: Given:y=Ae2x+Bxe2x...................(1)

Q: 9. Find the first four non-zero terms of the Taylor series for f(x) = - centered at %3D

A: We have fx=1x The Taylor series for fx centered at x=a is given by:…

Q: 3 2 1 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic notation and fractions where needed. Enter…

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Q: Given the graph of the function f (x) below, use a left Riemann sum with 6 rectangles t approximate…

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Q: Solve the problem. The amount A (in g) remaining of a radioactive substance after time t (in years)…

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Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

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Q: y = -14x+49. X-7

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Q: The rate at which the total average number of COVID cases is increasing at x=20 tents and dx/dt=2…

A: The given area is 21,600 square meter. One third of the area will be used to plant mango tree. The…

Q: 1. The following table gives the estimated stature (length, in cm) of human fetuses at various times…

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Q: 1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where…

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Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

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Q: 1(1)

A: We have to find the following given condition according to the given information

Q: Prove that (x₁, y₁), (x2, y₂), and (x3, Y3) are collinear points if and only if X1 Y1 1 2 Y2 3 y3 1…

A: The given points are:   x1, y1,  x2, y2  and  x3, y3

Q: A wireless phone company has a pricing scheme that includes 300 minutes' worth of phone usage in the…

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Q: Find the slope of the tangent line to the curve y = 4x2 at the point (–4, 64).

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Q: 1. Given that the position of a particle is given by s(t) = 3t4 + 20t³ − 48t² + 17t + e¹¹, determine…

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Q: 7. Use linear approximation to approximate the value of 82 without the need for a calculator.

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Q: Decompose 52+7 x³ + 2x²-x-2

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Q: Solve the following differential equation by Laplace: ² - 4y = 16 t -6, y(0) = 3 . dx

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Q: dz dt If (z=x. y), where x = cos (t) and y = sin (t) 03. Use the chain rule method to find

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Q: Q4/ A. Solve the set of equations by using matrix method (2x₁ - 3x₂ + 8x₂ = 6), (x₂ + 7x₂=-4),…

A: A detailed solution is given below.

Q: 3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

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Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

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Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation