Find the mass of the portion of a sphere in the first octant with radius 1 and density function ƒ(p,0,0)= e¯º¹. (set-up triple integral then evaluate by hand)

Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t) =…

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Q: me following limit, identify f(x), a, and L. elect the correct answer below: Of(x) = -x + 2; a = -1;…

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Q: 0. The equation 7(x) = 40cos(x-10)] + 160 describes how an element in a fur cyclically, where x is…

A: topic:- function

Q: 1. 6 2x² =dx 1 + x

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Q: Maximizing the Volume of a Box An open-top box is to be made from a 30 in. by 40 in. piece of…

A: Let's solve given maximizing volume of a box problem.

Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

A: area bounded by curve  y = x2  y = 2x +8  step 1  find the intersecting point of curves step 2  find…

Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: Find the general solution of the differential equation y" — y' - 12y -32t + 24t². NOTE: Use t as the…

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Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(e, 1) =

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Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: Find the average value of f(x) = x² on the interval [2, 4]. Answer:

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Q: 2. Find the first 4 terms of Taylor series for the function (In x4) about x = 3 ?

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Q: J sin(lnx) dx

A: Let's solve given integration.

Q: 2) Find the radian measure of angle 0 in the figure below. 22.5. a) O 2.25 radians b) O 4.5 radians…

A: we know that arc 2πR =2π radians

Q: Find the z - transform of IN k

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Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: What is the area of the region bounded above by y = -3 MX. 54-3-2-1 1 2 3 4 45 O ভাল লাল নাল O O O…

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Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; x = 0, y = 0, y = -1, y = 2 Particular…

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Q: B: Draw the function y = √√x-8

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Q: Use the method of undetermined coefficients to find a particular solution x" + 8x' + 9x = t³ Xp²

A: Solution of given question is written in below steps.

Q: π/2 1-z [²6² x cos ydzdydx = = [Show your solution.]

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Q: Draw the function y = √x-8

A: The 5 points are the following.

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: II. Trigonometric Substitution. Evaluate the following integrals using trigonometric substitution.…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is…

A: This question is based on derivative.

Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x intercepts…

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Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

Q: 17. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the…

A: Concept of similarity along with derivative is used.q

Q: (15) Use the divergence theorem to evaluate SSF. ds, where S 3 F(x, y, z) = and 5 is the surface of…

A: To evaluate the given integral using divergence theorem.

Q: Is sinxV9+ cos2 xdx

A: To evaluate the value of given indefinite integral.

Q: z²+1 5. S ₂²³(x+5) I

A: Let's solve given integral.

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

A: Given that,

Q: (b) f(0) = (Type an integer or a decimal.) (c) f(1) = (Type an integer or a decimal.) (d) What are…

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Q: s sin xv9+ cos2 xda xdæ

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Q: 3x₁ − 2x₂ + 4x₂ = 19 1 3 x₁ + 5x ₂ −x3 = -12 x₁ + 2x₂ + x3 = 0 1

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: In 1991, there were 41,628 shopping centers in a certain country. In 2001, there were 48,434. (a)…

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Q: Evaluate the antiderivatives. 2x dx 5 S

A: ∫2xdx/5 ∫axdx = ax/lna here a =2

Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.

Q: Problem 3: Find (i) f'(x) and (ii) f"(x) of the following functions. 6x4-√x , c) ƒ(x) = e4 – 5e-5x -…

A: As per the rules of the company we can answer only the first question and rest can be reposted.

Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 2 x intercepts…

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Q: Solve the initial value problem y" - 2y' — 35y = 0, y(0) = a, y'(0) = −10. Find a so that the…

A: Here we have to solve the differential equation.

Q: (x), a, and L. Select the correct answer below: Of(x) = -x + 2; a = -1; L = 3 O f(x) = -x + 3; a =…

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Q: Find the solution of the initial value problem y" + 16y = 0, y(72) = 8, y¹ (72) = -16. Sketch the…

A: Given: y''+16y=0