Evaluate limx-0 (2 sin x - sin 2x)/(x - sin x)

Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: Question 13 Evaluate the definite integral. 1.² sin (3t)dt Question Help: Video ▼ Submit Question…

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Q: Find the values of sin(0), cos(0), and tan(0) at the given points on the unit circles in the figure…

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Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

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Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: Consider the function below and its graph shown to the right. 1 -t if- 10 ≤t<0 f(t) = X F(-10)= Let…

A: Consider the function below and its graph shown below.ft=14t  if -10≤t&lt;0t22  if 0≤t≤10Let Fx=∫-5x…

Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: Assume f and g are inverse functions. Which of the following statements is/are true? 1. y = f(x) if…

A: Please see the below picture for detailed solution.

Q: Assume f and g are functions such that f(x) dx O 5G(x) - 2x + C OG (5x-2) + C O 5G(5x-2) + C OG(a) +…

A: Please see the below picture for detailed solution.

Q: DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

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Q: DETAILS GHCOLALG12 1.5.018.MI. oriental rug is 5 feet longer than it is wide. If the diagonal of the…

A: Given query is to find the dimensions of the rug.

Q: What is the standard form equation of the ellipse that has vertices (±12, 0) and foci (±9, 0)

A: Given Vertices = ( ±a , 0 ) →( ±12 , 0 ) foci = ( ±c , 0 ) →( ±9 , 0 ) so a = 12  &amp;  c = 9

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: 10) Determine the integrating factor of the differential equation (y tan(z)-e)dz + dy=0 a) ecos(x)…

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Q: For the function f(x) = 4 cotx determine its stretching factor and phase shift, and then graph it…

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Q: The table below shows values for f(x, y). x values are down the side, and y values are across the…

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Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: 7) Determine the volume of the solid of revolution formed by rotating the region under the graph of…

A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…

Q: Given that f(x) = x² − 13x and g(x) = x + 6, find: a) (ƒ + g)(4) = b) (f g)(4) = = c) (fg) (4) = d)…

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Q: Solve: y (cosx)= (9+ y²)

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Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: Consider the following system. dx dt dy dt = 6x + 5y K = = -2x + 8y Find the eigenvalues of the…

A: As per guidelines of bartleby we solve only one problem

Q: 1. Find f'where f(0) 2 Find all = 1+sec(0) 1-sec(0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-2) (x - 1)(x + 2) dx || y = X > 2

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Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

Q: The function w(z) represents a package's corresponding weight in grams when the package's weight is…

A: Given query is to find the meaning of the inverse function.

Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: Given the following equation of a circle in general form, find the equation in standard form by…

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Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: What is the value of 22 1 110 O 21 S 0 x(1-x) dx?

A: Given ∫01x(1-x9)dx   The objective is to evaluate the integral.

Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

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Q: Find the area of the region enclosed by y = 0.75 and x = = 5.5 - y². -4 -3 -2 -1 A -3 T N 1 2 3 Q…

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Q: Evaluate the indefinite integral. f7 sin³ (2) sin³ (x) cos(x) dx = J + C

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Q: Suppose that so h(x) dx = Answer the following: A. Suppose that h is an even function. Evaluate…

A: Since you have asked multiple parts in a single request so we will be answering only first three…

Q: (b) n=1 3 2n-1

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Q: Which of the following is the linear approximation of f(x) = sin x at x = ? OL(x) 1 OL(x) = x OL(x)…

A: Given f( x )= sinx at x = π2linear approximation L( x ) = f( a ) + ( x - a )f'( a )

Q: Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. Use the fact…

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Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x7, y =…

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