Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1 and y%3= 3 O=0 2/3 2/3

Q: INTEGRATE BY PARTS /4 2. Sa* x sin 2x dx

A: The given integral,       ∫0π4x sin2x dx

Q: 4. The outline of a rugby ball has the shape of + = 1. The ball itself is the y2 30 16 revolution of…

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Q: If a ball is given a push so that it has an initial velocity of 3 m/s down a certain inclined plane,…

A: Given query is to find the velocity function ate time to reach the velocity 45 m/s.

Q: Evaluate the following integral: 1 *T/2 IL: cos x/1+ cos² x dxdy. arcsin y

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Q: | 2f(x) + ldx

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Q: Consider the following function. (If an answer does not exist, enter DNE.) h(x) = (x + 1)5 - 5x – 2…

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Q: Problem 2 Find the values of x for which the series converges. Find the sum of the series for those…

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Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: x + 1 dx x(x² + 1)

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Q: Solve by FDM with two Dirichlet BCs. d²y ET 2. 2.

A: Solution:  Given that,

Q: Problem 4 A patient takes 150 mg of a drug at the same time every day. Just before each tablet is…

A: Find your answer below

Q: Find an angle 0 with 0° <0< 360° that has the same: Sine function value as 250° 0 = degrees Cosine…

A: Find your answer below

Q: 00 n x-4 Write out the first few terms of the geometric series, 2 3 2 to find a and r, and find the…

A: ∑n=0∞ 3x-42nThe series can be written as;=3+3x-42+3x-422+...…

Q: x = sin(t/2), y = sin(t)

A: answer is in next step

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/8…

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Q: Find an equation of the circle whose diameter has endpoints (-6, - 5) and (-6, 3). D=0

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Q: 22. On what value of x is f(x) = x2+3x-10 has %3D x-2 removable discontinuity? A) 5 B) -5 C) 2 D) -2…

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Q: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

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Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A: Consider the parametric curves C1:    x1(t)=2cost,  y1(t)=2sintC2:    x2(t)=sint,  y1(t)=sint

Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

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Q: Without using a calculator, compute the sine and cosine of by using the reference angle. 6. radians.…

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Q: 6. Evaluate the integral e* dx ex + e-x

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Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

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Q: Carol has 1500 ft of fencing to fence in a rectangular horse corral. 750- x (a) Find a function that…

A: We can solve as follows

Q: The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) =…

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Q: Find the tangent lines as directed. To the ellipse x²+4y²=8 parallel to the line x+2y=6.

A: Given query is to find the equation of the tangent.

Q: can

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Q: The data and graph above show the number of hours of daylight in Richmond VA for specific dates…

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: find the critical points of the function f(x)=x-1x2+4

Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, –2)

A: Equation of tangent line of a curve y=f(x) at P(a,b) is given by, y-b=dydx(a,b)(x-a) Implicit…

Q: | sin rdr 3.

A: Here we have to solve the given integration by using integration by parts.

Q: True or False. The series S sin(m) is an alternating series. m n=1 False True

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Q: Find and describe the intersection of the following planes: T:3x+2y+5z-4 = 0 T: 4x-3y+=+1=0

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Q: = 8x - 3y2 nd the Implicit derivative " dy/dx" of the function. A) y' = - 6y B y' = 8 - 6y (Cy' -6y…

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Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

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Q: Evaluate So (ti + r*j+r°k)dt = i+ j+ k.

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Q: Evaluate (S(x+ 2y)dy) dx. О а. 5/8 O b. 8/5 Ос 3/16 d. 16/3

A: solution:-∫02∫0xx+2ydydx=∫02xy+2y220xdx=∫02x2+x2dx

Q: 1. Let R be the region bounded by the graph of f(x) = 2x² – x + 2 and x-axis F31 between x = 1 and x…

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Q: 25) Show that the curve with parametric equations x = tcos(t) , y = tsin(t), lz = t ies on the cone…

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

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Q: Let f be the function х? — с f(x) = 1 3x + 5c for x 5 Find the value of c that makes the function…

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Q: 1. Simplify the following: i) 271/2 ii) 9 3/2 iii) 3" x 9"

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Q: A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to…

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Q: f(x) = 10/10x³ + 6x*

A: Follow the procedure given below.

Q: Find Lim x→2 x2 - 5x + 7

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Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3D

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Q: Use the requested method to approximate the definite integral. Use the method of right Riemann sum…

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Q: 3. As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Let's find.