(a) y = x2 – 2 and y = 2 -

Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: If e = 3 10x find the reference angle 0'. Give only exact answers, and type pi for a if needed. Do N...

A: Topic = Trigonometry

Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: What is the magnitude of the resultant of the two force vectors shown in the diagram? (-2,3) 3- 2- (...

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Q: The graph on the right shows the remaining life expectancy, E, in years for females of age x. 60- 40...

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Q: x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8

A: Use formula for integration of 1/(x^2+(a^2))

Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

Q: Given vector function: 7 (t) = (sin t, cos t, t) Find the following: (show complete solution). a. Fi...

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Q: Help

A: Please refer to the image below

Q: II. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1...

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: 3. =メー1 x+1 デー

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

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

A: A detailed solution is given below.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: x=5, y=-x+1, y=0 From the given lines the bounded region is as shown below;

Q: x3-/(x) 2. Let f be defined by the equation f(x) = V3- x. a. Evaluate lim f(x) x-3+ b. Evaluate lim ...

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Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2— б...

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Q: 20. Evaluate f(2.x – 3)(x² + 1)dx a. 4x* + 3x - x2 - 3x +C b. 4 x* - x + x² - 3x +C c. 34 x* + x - x...

A: We know that ∫xn dx = xn+1n+1+C        n≠-1  where C is constant of integration.

Q: Evaluate the following improper integrals to determine if they converge or diverge. integral converg...

A: Note: As per our company guidelines we are supposed to answer the three sub-parts of the question. K...

Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: (2x if x1 continuous? (A) (0,1] (B) [0,1] (C) (1,2) (D) [-1,2]

A: Graph of the piecewise function÷

Q: Determine the Laplace Transform of the given integral equation. A. f (t) = (t – T)2 cos(27)dr

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Q: a- If A = -1 %3D 2 and B = -41 prove that (A + B)T = AT + B". 12 [1/2 - If A-1 =1/2 -1/2) and |A| = ...

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

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Q: 2 y = | (x 3. 4x + 5) dx

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Q: 1 eB*[Scos2x - psin2x] + C *sin2xdx a Find: a + B + 8 + p

A: The given integral is e-3xsin(2x).

Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

Q: onsider the equation below. (If an answer does not exist, enter DNE.) f(x) x² + 4 (a) Find the inter...

A: I have done the red cross part of the question mention

Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

Q: ed Feedback ry again. The three hypotheses of Rolle's Theorem for a function f on the given interval...

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

A: The given series,       ∑k=1∞-1011k-1

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Evaluate the limit of the function given the graph of the function. Considered the graph of Function...

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Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³/y2 + z² at the pointP,(2,3,4). ...

A: Given that        f(x,y,z) = x3√(y2+z2) 

Q: Let f(x) = V /1 x and g(x) = 2 + x. (b) Evaluate the following. (i) (f – g) (1) (ii) (-) (2)

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Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: -x10+3 8 (x) = Vlx|+2x2

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Q: Integrate V4r - 8~ dx using a table of integrals 2. Chrome-Microsoft Word- Integral Formulas IIl.doc...

A: Given query is to find the value of integral using the table given.

Q: x3 dx = (x* +4)2 8.

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Q: Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of h...

A: Let's find. 

Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.