m(x)=ln(4-x^2) Find domain

Q: Solve the equation 3e²-1=0. Round your answer to two decimal places.

A: We have to solve given Questions.

Q: Find the function f(x) with the following properties. f'(x) = 3x², f(4) = 3.

A: Givenf'(x)=3x2,f(4)=3   We are required to find the function f(x)

Q: The Maclaurin series for sinx can be written as ...? a) Oa) O b) Oc) o d) 18-00 (-1)'+1x2r+1 (2r+1)!…

A: To determine the Maclaurin series for sin x.

Q: The function f is defined by f(x) x²-3x. Using a limit definition of the derivative, find f'(x).

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Q: Solve the initial value problem using the method of Separation of Variables. y' - x³y=0; y(0) = 2

A: Given query is to find the solution of the differential equation.

Q: A point on the xy-plane that does not lie on the graph of y = X+1 a) (0,0) b) (12.1) (₂ c) (−127,…

A: Given : a.

Q: Week 16: Curvature and Radius of Curvature 3. Practice items Determine the radius of curvature of…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To develop the equation of parabola.

Q: Step 4 We have a general solution to our differential equation: y = ₂0.08t + C - 25,000. To find the…

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Q: Given the following vectors, calculate 5u + 3v. |(7, 0), v = (-8, 10)

A: We need to perform the given algebraic operations on the vectors. The detailed solutions are…

Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden…

A: Given: The side along the driveway is labeled "$6 per foot" . The remaining three sides are labeled…

Q: 6. Convert from Rectangular to Polar Coordinates: (x,y) → (r,0). (-3,-4)

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Q: [ sin(lnx) x dx

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given f(x)=x2   We are required to findThe area under the curve f(x)=x2 between x=4 and x=8 using…

Q: Obtain the derived function for: y = x²+3 2x-1

A: dxndx=nxn-1  and dconstantdx=0d dx(ab)=bdadx-adbdxb2

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

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Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

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Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for…

A: Given, Position of the particle P is given by yt=4t2-5t+7 The position of the particle Q is given by…

Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: Find the radius of convergence, R, of the series. (-1)^ gn √n M² n = 1 +²

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Q: You want a linearization that will rep subsequent work as simple as possib which the function and…

A: Take x = a = 4

Q: Ordinary Differential Equations of the First Order.pdf Exercises: 1. y(2x-y+1) dx + x(3x-4y+3) dy =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros…

A: To solve the following problem using rational zeroes theorem

Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

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Q: 13) y= (х2+2х-1", бус? A) X+1 y в) чу (х+) D) — (XH) (x2+2*-1) 3/2 c) 1 2\722x-г

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Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: Given vectors u = −33i + 6j and v = −19i + 5j, find vector u — v. -

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Q: Use implicit differentiation to find dy/dx in terms of x and y: x - 3y = 2xy

A: Differentiate

Q: A curve with polar equation r represents a line. This line has a Cartesian equation of the form y =…

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Q: (6407 #2 p. 327) Let R denote the region bounded by the parabola y = r² - 3x and the line -4. Setup,…

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Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

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Q: (sin 8) (csc³ 0-csc²0- sec 0 tano) de 6)

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Q: 13. Solve the initial value problem using the method of Integrating Factors. y y' + 2 = x; y(1) = 1

A: y'+2xy=xy(1)=1∫xmdx=xm+1m+1+c

Q: b) Find the indefinite integral: S 5Cos(t) 2.Sin ¹0 (t) - dt

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Q: Match each polar coordinate equation with a description of its graph. 1.0=3 A. vertical line B.…

A: Given:  (1)  θ = 3   (2)  r = 3   (3)  r = 3 cos θ

Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

A: formula for average rate of change is  =f(b)-f(a)b-agiven f(x)=2x , given interval is  2,8there for…

Q: Consider the following. '11 du = Jo 7 √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the…

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Q: A chain 180 meters long hangs over the edge of a building that is 180 meters tall. The chain weighs…

A: Given:  A Building of height 180m.  The rope with weight of 25N per meter.  The water bucket with…

Q: Answer 20 only

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Q: The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤…

A: INTRODUCTION:  The indefinite integral is typically carried out in troubles concerning distance,…

Q: The angle addition formula for sine is sin(a ± ß) = sin a cos ß ± cos a sin ß. Use this formula to…

A: We have to solve given Questions.

Q: Given sin(0) = = , enter two possible solutions for below. Express your two answers in both degrees…

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Q: Calculate the work W against gravity required to build a right circular cone of height 2 m and base…

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Q: A grocer mixes 15lb of ground sirloin that costs $2.80 per pound with 10lb of ground pork that costs…

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Q: Find the average value of the function f(x, y) over the plane region R. (Give your answer correct to…

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Q: The volume of a certain cone for which the sum of its radius, r, an height is constant is given by…

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