Find the area under the curve of the following function f(x) = 7x³ on the interval [2, 6].

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A: The objective of this question is to find the interval of convergence and the radius of convergence…

Q: Зп 4 6п Зп 8 П 4. Find Ax in the Riemann Sum k=1 Зп f(x1)∆x on the interval |0, 0,3 2 using 4…

A: The Riemann sum  is given on the interval .

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Q: 1. Graph and shade the region enclosed by y = e + 2, y = 0, x = 0, and x = 0.3. -0.10 3 2 0.10 0.20…

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Q: 4 •[x² x²√√√x² - 81 dx

A: The given integral

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Q: X x+18

A: f(x)=xx+18

Q: 6. The quadratic Taylor approximation of f(x, y) near (x, y) = (a, b) is given by f(x,y) ≈ Q(x, y) =…

A: Given: To Find: To  find the quadratic Taylor approximation of .

Q: the t exist. ne of the described solla on or stat It does The region bounded by f(x) = (x + 1)¯⁹ and…

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Q: Hello! I wanted to ask a comprehension question for trigonometry. I have a really hard time…

A: We use double angle/ half angle formula in case of integration when we don't know the Direct…

Q: Use the Divergence Theorem to calculate the surface integral F(x, y, z) = 3xy²i + xe²j + z³k, S is…

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Q: 9. Find the interval of convergence and radius of convergence of the series n=1 2n (x - 1)n n

A: The objective of this question is to find the interval of convergence and radius of convergence of…

Q: Use integration by parts to evaluate the integral: J sin (9t) est dt

A: The given integral is

Q: Given f(x, y) evaluate f(5,6). = 100x + 60y - 2x² – 5y² – xy, and

A: Given a multivariable functionf(x,y)=100x+60y−2x2−5y2−xy

Q: 3. Evaluate the limit: lim a. b. 2 -8 x-2+x+2) 4. Evaluate the limit: lim (²). x-0 a. 0 b. 1 C. 0 d.…

A: (4) L=limx→0(1x)

Q: Evaluate the lim BE 1 1 x 2 X-4 X-4

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Q: A bee with velocity vector r' (t) starts out at (4, -1, -3) at t = 0 and flies around for 1 seconds.…

A: A bee with velocity vector r'(t) starts out at (4,-1,-3) at t=0We have to find location of bee at t=…

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Q: Solve the differential equation by undetermined coefficients. y'' + 2y' = 2x + 9 - e-2x

A: The objective of the question is to solve the given second order linear differential equation using…

Q: Suppose f(0) = -6 and f'(x) ≤8 for all values of x. How large can f(-3) possibly be? Use the…

A: Given that  and By Mean value TheoremFunction continuous over the interval Function differentiable…

Q: Solve the following improper integrals. For each of them state whether the integral is convergent or…

A: To solve the following improper integral and to state whether the integral is convergent or…

Q: 1. Solve. √√5x + 24 2/2 - 2 = x for prob.

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Q: (5.) Let u(x, y) = ln(x² + y²) (a (b. (c. State the domain of u: Determine lim f(x,y) (x,y) →(0,e)…

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Q: Plot the graph of piecewise function given below: 2x²8x + 2 if x ≤ -3 x + 7 f(x) = 6 x³ - 2 if - 3 2

A: The given function is

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Q: Find the domain of y = log(4 + 6x). The domain is:

A: Finding domain of logarithmic function

Q: _Let f(x) = √2+√3x. Find f'(x). =

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Q: please solve

A: A thorough explanation is provided below.   Explanation:To find the area between the x-axis and the…

Q: In 2005, Dr. Larry Kamin and his botany students at Benedictine University collected the following…

A: a) H(D) = 5.629D0.713 feet b) 91.579 feetExplanation:Step 1: Obtain the regression output Enter the…

Q: 4. Simplify the expression so that the result is not complex and does not have negative. exponents…

A: The Expression is as follows

Q: Please help evaluate each sum knowing that f(x) = x2, g(x) = 3x , & h(x) = 2/x

A: f(x) = x2, g(x) = 3x , & h(x) = 2/x

Q: The graph of the function f is shown below. Determine the value of lim form. y 10 4x + 8 x-2 f(x) -…

A: limit to find

Q: Suppose that a density function is given by the formula 1 38 { 2 15 Find the probability that is…

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Q: A projectile's path is represented by the function h(t) = -4.9t² + 32t+4, where h is its height, in…

A: Average rate of change of f(x) on x=a and x=b is given by

Q: Suppose f (x, y, z) = ² + ², P = (3, 4, 3). A. Find the gradient of f. Vf=i+j+[ k Note: Your answers…

A:

Q: Please use Differential equation or intergral equation to solve thanks

A: Please check the explanationExplanation:To solve this problem using a differential equation, let's…

Q: Find the tangent to y=x²-x+9 atx=1. oy=√x²-x+9 atx=1 is y=0 The tangent to y=√1

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Q: ƒ' (4) = If f(x) = 3√√√x(x³ − 2√x + 2), find f'(4).

A: Given that

Q: Which of the following series is absolutely convergent? Select one: O a. Σ(-1)*+1 IVE k+8 O b.…

A: Given that,which of the following series is absolutely convergent.

Q: УТ 41 2 -4-2 0 -2 4 4 x

A: (7)

Q: 4. Solve the difference equation Yn+25Yn+1 +4yn = n² with initial conditions y(0) = 2, y(1) = -1.

A: Please check it explanation section answer is in square box.Explanation:If you have any problem let…

Q: In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 11 seconds…

A: The objective of this question is to determine whether the driver was speeding based on the given…