Use the Definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = x² + √1 + 2x, 5≤x≤7 lim n18 n i = 1 Need Help? Submit Answer Read It X

Q: Let F(x) = [" -f²e- е Find the MacLaurin polynomial of degree 5 for F(x). - 4t4 dt. 0.18 · 1025 Use…

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A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Suppose J is a continuous function, and we know the following data: t 7.5 8 8.5 9 9.5 10 10.5 11 4.3…

A: △x=b-an=11-74=1   For left Riemann sum =△x(f(7)+f(8)+f(9)+f(10))   Therefore to calculate left…

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A: fx=x22-x2-1 ; 0,2

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A: The third and sixth terms of a geometric sequence are 8 and 216 respectively. We have to find, which…

Q: • [[ [₂ (²² (x + y −42) dV where E = Evaluate = {(x, y, z) | − 1 ≤ y ≤ 0,0 ≤ x ≤ y,0 ≤z≤x+y²}

A: ∫∫∫Ex+y-4z dV-1≤y≤0    0≤x≤y    0≤z≤x+y2

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Q: Find the general solution of the given equation. y"-y' - 12y=0 Choose the correct solution below. c,…

A: Short Explanation::-

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A: NOTE: Refresh your page if you can't see any equations. . the given curve is  . substitute the…

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A: By using a triple integral to find the volume of the solid bounded  by the graphs of the equations.…

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. =1 Co C₁= -(0)²…

A: We need to find the Taylor series for f(x)= sinx at x=π2. This can be evaluated as follows:

Q: 1) † (4r³ – 1)d

A: Consider

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A: SOLUTION:-   A statue 3 m high is standing on a base of 4 m high. Given that an observer's eye is…

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Q: Find the first five coefficients. Co C1= C₂= C3 || Write the Taylor series for ƒ(x) = x³ about x =…

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Q: 19. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 4

A: The equation of plane 2x+y+z=4 Graph

Q: The Normal component of acceleration of a moving object in space at time t is given by a = t and the…

A: Normal component aN=tk(v(t))2=t 19t3(v(t))2=t(v(t))2=9t4(v(t))=3t2

Q: (0) = 0, y(0) = 0

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A: The marginal cost for a company to produce q items is given by,

Q: 6. Find the following limits lima-1 x^-y₁ λ lima-0 x^_y₁ λ

A: To find out the limits.

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Q: Given parametric equations and parameter intervals for the motion of a particle in the xy-plane…

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Q: 43. The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. a. Use…

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Q: Find the sum of the following series. If it is divergent, type "Diverges" or "D". Σ α 3η 5"n! n=

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Q: c) Find the are under the curve on the interval -2 ≤x≤2

A: Given that , y=x2+2x

Q: 1. Evaluate completely using rules, not by calculator. Show work. (Exact values in lowest terms): a)…

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Q: lim x→8 3+√x-5 x-8

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Q: = Söf(t)d t, find g'(2) Y -2 8- 6+ 4 2+ (2)=4 2 4 st

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Q: Solve this without using u-substitution

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Q: Find the gradient vector field of f(x, y) = x²y³ A

A: The gradient vector for the function f(x, y) is: ∂f∂x, ∂f∂y

Q: Form a polynomial of degree 3 whose real zeros are -2, 0, and 4.

A: A polynomial of degree 3 has real zeros -2, 0, and 4. We have to find a polynomial that satisfies…