Consider the graph below of the function g(x) to evaluate the integrals. The graph consists of two straight lines and a semi-circle. 0 2 0 N 9 i. f g(x) dx = 8 3 5 6 A 8 6 10

Q: 3 Calculator active. Line L is tangent to the graph of y = 2 sin x at the point (k, 2 sin k), where…

A: Equation of tangent line L of a curve y=f(x)  at a point (a,b) is given byy-f(b)=f'(a)(x-a)

Q: Question 16 of 30 Step 1 of 1 01:28:22 You just bought a fish tank that is 27 in. long, 24 in. wide,…

A: Given query is to find the volume of the fish tank.

Q: Find fogo h. Chec fogoh = f(x) = 9x - 2 g(x) = sin x h(x) = x²

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

Q: : Find the GS of y' + 2xy + y² = a² −1-x²

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Q: (x + y − 5)dx + (3x + 3y + 2)dy = 0 -

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Q: 10. Solve uxx + Uxt-20utt = 0, u(x, 0) = (x), u₁(x, 0) = (x).

A: Factor the operator as we did for the wave equation

Q: Find the general solution of each of the following. rdp-(p+√pr)dr=0

A: Our Aim is to find the general solution of the following given below:-rdp-p+prdr=0 -(i)

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2-x 3

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Q: 4

A: Concept: Given: Demand for the education: P=75-Q Supply for the education: P=2Q Due to decrease in…

Q: 4. X x - 2 > x; in the form of intervals

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

Q: then m = (q²b²³) 1/10 9-1/261/5 = and n = qmbn 1/10

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Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: 4.3 Stretching (a) Let f(x) = r². How do the values of f(0) and 2f (0) differ? (b) Let f(x) = 1².…

A: Solution

Q: Find the integrals: 1- xdx A. -2/3 (1-x)3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3…

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Q: Given f(x, y, z)= xyz, find fxyy

A: Derivate f thrice with respect to x, y and then again with respect to y.

Q: Let A = {4, 3, 5, 7, 10, 6} B = {8, 3, 7, 1} and U be the universal set of natural numbers less than…

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Q: Draw the region of integration and reverse the order of integration to 1 I T.C. Y evaluate the…

A: The given integral is: I=∫01∫y1ex2dxdy The bounded region by the curves x=y, x=1 from y=0 to 1 is as…

Q: t costs $90 to rent a car driven 100 miles and $140 for one driven 200 miles. If x is the number of…

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Q: Given f(x, y, z) = xyz, find fyyx

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Q: The graph of the function f(x) is shown below. f(x) f(-1) is f(0) (a) Using the figure, find the…

A: Here we have to use the concept of derivatives

Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: 1. Determine the domain and range of f(x) = 5

A: The domain of the polynomial function, fx=a0+a1x+a2x2+....+anxn is always a real number. Where n∈N…

Q: 4. A large container initially contains 50 gallons of salt-water with concentration 0.4 lbs. of salt…

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Q: i) S 3+6x+4x² −2x³ (x4+3x²) ·dx

A: The given integral is (3+6x+4x2-2x3)/(x4+3x2).

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: We have to find the value of derivative at $21 and interpret the answer.

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

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Q: Use the definition of derivative to find f'(x) and f"(x) f(x) = 4x² + 3x + 2 f'(x) =

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Q: Let A = {1, 6, 9, 7, 5, 10) B=(3, 6, 7, 4} and U be the universal set of natural numbers less than…

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Q: f(x,y)=(5x°-4y3, + 4xy²

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Q: question 14. y' - 5y = e5x, y(0) = 2 answer 14. y e5x (x + 2) =

A: The given initial value problem is: y'-5y=e5x ;      y(0)=2

Q: - If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter…

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Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…

Q: (cos x-cosy-cotx) dx - sinxsiny dy=0

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Q: (x − 2y + 2) dx + (2x + y − 6) dy = 0 In((≈ – 2) + (y – 2)*) — 4arctan In((z − 2) + (3 −…

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Q: 3. Find the solution of the IVP: ry dy + (x² + y²) dx = 0, x>1,

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Q: (384)(340/340+50)

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Q: Find the standard form of the equation of a parabola opening to the right such that the endpoints of…

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Q: Find for x³ + y²x-3 = 0 dy dx

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Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

A: Given query is to find the the derivative of the function.

Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

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Q: Use the tabular method and the properties of limit to find the limit X 1 1) lim 2 3 X-0 ()

A: limx→02{13)x =2 since,  limit f(x)= L exists. By Tabular method property  -- limit f(x) exist and is…

Q: Let g(x, y) = sin(8x + 2y). 1. Evaluate g(1, -2). Answer: g(1, -2) = sin (4) 2. What is the range of…

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Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {6,…

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Q: Y = Ax² + Bc -X

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Q: If g(s) g'(s) = = 2s²- 19s +6 s² -, compute g'(s). Hint: Simplify g(s) by writing it as a sum of…

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Q: (a) Use the definition to find f'(x) when f(x) = 3x³. f'(x) = 6 x X

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