Find the area of the region bounded by the given curve:r = 5e 2 on the interval

Q: f(x) = 2sinx-x3ex 1. What is the first derivative of the equation? 2. What is the second derivative…

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Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. %3D (a) Determine the slope of the…

A: C2: r=4cosθ       red colorC3: r=4sinθ        green color

Q: x In x dx

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Q: 3. Find the absolute maximum value of the function f(x)=- 1+x2

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Q: Let f be a function defined for t 2 0. Then the integral L{f(t)} = e-stf(t) dt is said to be the…

A: Given problem:-

Q: z = 0, y = 1, у %3D1, z = x² + y? y = x².

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Q: 13. Find the mass of a thin funnel in the shape of a cone z = x² + y²,1<z< 4, if its density…

A: It is given that, the equation of a cone is z=x2+y2,1≤z≤4 and the density function is δx,y,z=10-z.…

Q: Find fr(x, y) and fy(x, y) given f(x, y) = tan x· cos os(x² – y?).

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Q: Let C1 be the curve with parametric equations x = cost, y = sint – t, where t e [0, 5]. (a) Find the…

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Q: Q2) Find the integral value for the following functions 3x 1. S V1+3x2 dx 2. S(sec(4x) – 1)? dx dx…

A: LetI=∫3x1+3x2dxTake the constant out:  ∫a·fxdx=a·∫fxI=3·∫x1+3x2dxPut…

Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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Q: certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 59 - 2.2t…

A: Given query is to find the average temperature for the given time interval.

Q: ||r(t) x r"(t)|| ||r'(t)|³ Use the formula k(t) to find k(t). 13 r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk…

A: A detailed solution is given below

Q: Question 2 Find the equation of the line through (9, 2) with slope -2/3. Select your answer y =-2/3…

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Q: Q2) Find the integral value for the following functions (choose five only): 3x dx 1. JJ+3x2

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Q3) A) If you have three functions: f(x) = x2 – x g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof (x)…

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Q: Problem: At time t = 0 there are 10 person in a community of 1,000 people who has the flu.…

A: Required formula:  Logistic growth model: Nt=K1+K-N0N0e-rt Where,  r = Exponential growth rate…

Q: In this problem, please evaluate the trig functions without a calculator and do not use a decimal…

A: Equation of a tangent line of y=f(x) at (x1,y1) is given by, y-y1= [dy/dx]at x=x1 (x-x1)

Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

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Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5]. (a) Find…

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Q: Determine whether the integral is improper (x-4) -'dx A Improper B Not improper

A: Given data÷

Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

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Q: t the end of 8 years, Beth will have approximately S Do not round until the final answer. Then round…

A: Use half yearly compounded formula.

Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

A: Given problem:- f(x,y) = 25 - x2 - y2 at the point P(3, 4). Use the Partial Limit Derivatives

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from z = 0 to r = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: The world population was approximately 6.04 billion at the beginning of 2000. It has been estimated…

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Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + aßy = 0…

A: given

Q: f(x) ニ 9-3х A. x =-1 B. x = 0 C. x = 3 S2x x < 6

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: 1 Suppose that L is a location function of an object, given as L(t) : We 2t – 3 will compute the…

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Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

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Q: Verify Green's Theorem by evaluating both integrals ax dA ду for the given path. C: rectangle with…

A: From: (0, 0) to (5, 0)y=0, dy=0∫ y2 dx+ x2 dy =0From: (5,0) to (5, 9)x=5, dx=0∫09 x2 dy= ∫0925…

Q: at x = 2 for the function below. dx Evaluate y = - 5u? + 4u + 9, where u = 9x2 – 2x + 4 Answer…

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Q: 5. y = [csc Jarcsin (cos.x)

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Q: 4. The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 0.2 inches. What is the approximate…

A: Let's find.

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 ecos-1x -xp- V1-x 5. S 6. Se…

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Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: Given parametric equations of a curve.

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: 00 (x - 3)" n n105n n=1

A: x=8

Q: 6 sin z Let f(r) = 6 sin z + 2 coS T Then f'(x) = The equation of the tangent line to y = f(z) at a…

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

Q: Evaluate the definite integral. e141 i + e-j +t k )dt O e 4 – 1 i + (e-1 – 1) j +, k - 14 (e4 – 1) i…

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Q: Question Describe the set S={ x: |(1/2)x-3| > 4 } Select your answer S= (-00, 12] U (14, o] S= (-00,…

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Q: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

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Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

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Q: 11. If f"(x)=-4sin 2.x, f(0)=0and f'(0) =2, find the value of f 4 %3D

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.

Q: Using shell method, find the volume generated by revolving the area bounded by y = 2x – x2 ; y = 0 ;…

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