Find the mass of a lamina bounded by y=4 sqrt(x), x=4, "and" \ y=0 with the density function sigma(x,y) = x+2

Q: What is the vector shown in component form? w 7 4 3 N -1 -2 -3 -4 2 3 4 Enter your answer by filling…

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Q: Intervals on which the function is increasing and intervals on which it is decreasing, ● critical…

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Q: If f(x) = 2e³², what is the average value of f(x) between [1, 4]?

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Q: 2) Students often make these simple derivatives harder than necessary. How would you differentiate…

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Q: (c) To solve this by calculus, we'd need to calculate substitution u = 1- x² doesn't seem to help.…

A: To explain briefly why the substitution , does not seem to help  to calculate the integral .

Q: Find the general solution of the given differential equation. dy dx +y=e4x y(x) = Give the largest…

A: We have,    dy/dx + y = e4x

Q: 1. 3 Sa x³√x² + 1 dx

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: 4) Find dx cos(xy) = y³

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Q: Find the limit of the Limit: sequence an = (4n+ 1)! If the limit does not exist, type "Diverges" or…

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Q: f(x) = 1 1+4x2

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Q: Given an acceleration vector, initial velocity (uo.vo)., and initial position (xo.Yo), find the…

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Q: (a) ㅣ dr x(x - 1)3

A: The given integral is:I=∫dxx(x-1)2

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Q: In Problems 6-10, let R be the region bounded by y = x² + 1 and y=x + 1.Each problem will describe a…

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Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

A: By using substitution and partial fractions to find the following indefinite integral. ∫sec2xtan2x+9…

Q: 2. Find the derivative of the function & write your answer in simplified, fully factored form. y =…

A: We have,    y = x7-4x32x3+3x22

Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) x² √…

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Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 5x³ and X= about the…

A: We need to find volume of solid region.

Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. Ixe¹ U = dv…

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Q: Consider the graph of the function f given below. f(x) I -2 4 B) If h(x) 2 0 -2 2 x 4 A) If g(x) =…

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Q: The graph shown below is f(x) = -(x - 1)2 + 5. What is the integral function g(x) that defines the…

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Q: √x f(x) = {3-x b) lim f(x) = Evaluate the following limits without graphing the function. a) lim…

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Q: A ball is shot out of a cannon at ground level. Its height H in feet after t sec is given by the…

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Q: Find the area of the region. y² = x²(1-x²) -2 2 o -2. 2 X

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Q: Find the annual percentage yield for an investment at the following rates. (a) 7.1% compounded…

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Q: If the position of an object is given by s(t) = ln(t³), what is the displacement of the object…

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Q: Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

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Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

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Q: a) -dox ; b) 2: sin xdx; e² 4+9e²

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Q: Write the pair of parametric equations in rectangular form. x = 7 sin 0, y 2 cos 0 =

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Q: Speed of Parametric particle. x=+³²-3+² y = 26²³-3+² -12 +

A: We have  3t2-6t2+6t2-6t-122=375 We have to solve for 't'

Q: 7(6x + 1)³√√x² + x (6x + 1)5 x² + x 2

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Q: Use implicit differentiation for the following prob- lems. 1 Find an equation of the tangent line to…

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: O 1

A: According to bartleby policy we can answer only one question at a time. If you want solution of…

Q: PROVE OR DISPROVE THE FOLLOWINCT: (SHOW FULL SOLUTION) 44 dx4 ((x ²³²= 1) inx) = 6 (x³71) x4

A: We have to proof that given expression. We know that  d/dx{f(x)×g(x)}=f(x)g'(x)+g(x)f'(x)

Q: Find the lengths of the two missing sides. 15 X 15 60% y Enter the value of a here. (You'll enter…

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: A region bounded by f(x) = x + 1, y = 0, x = 1, and x = 4 is shown. What is the volume of the solid…

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Q: 2. S dx x√x4-4

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Q: (x + y)² dx + (2xy + x²-2) dy = 0, y(1) = 1

A: Exact differential equations

Q: In Problems 6-10, let R be the region bounded by y = x² + 1 and y = x + 1.Each problem will describe…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: We have,  P = 17700  r = 6% = 6/100 = 0.006  t = 5

Q: 3. Find the linear unbounded operator A and its domain D(A), and write the system in the form U₁ =…

A: We need to find the linear unbounded operator A and its domain D(A), and write the system in the…

Q: Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0)

A: Note:-Since you asked multiple question, according to our policy we can solve only first question…

Q: Determine whether the improper integral diverges or converges. 3 √x(x + 5) 1.0⁰ dx

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: A triangle is formed by the points P = (1, 0, 3), Q = (4, -1,3), and R = (6, 1, -2). (a) Sketch the…

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