Find the area of the region enclosed between f(x)=x²-x+ 10 and g(x) = 2x²-3x+1 Area =

Q: E. Use separation of variables or linear differential equations to solve the following differential…

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Q: Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to…

A: Given query is to find the average value of the function.

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A: The objective is to solve the above question.

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A: Given query is to find x1 and x2 .

Q: 9. (x² + 3xy + y²)dx - x²dy = 0

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Q: Find the limit as x approaches infinity of (2x-1)(3-x)/(x-1)(x+3)

A: Given query is to find indicated limit.

Q: 2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point where x = 16 and…

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Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: Evaluate the definite integral. S² 3esin (2) cos(x)dr 0

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Q: Evaluate tan³ (32)sec² (32)dr + C

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Q: Check Point 3 If sin 0 < 0 and cos 0 < 0, name the quadrant in which angle lies.

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Q: Expand Log Stim1 Expand the logarithmic expression below. Find the NUMERIC value of A, b, C, D and…

A: Please see the below picture for detailed solution.

Q: - f(x)=√x, [0,4]

A: formula for average value is  favg=1b-a∫abf(x)dxf(x)=x∫xndx=xn+1n+1+c

Q: 4. The table shows selected values of a continuous function f(x), whose domain is 2 ≤ x ≤ 15. What…

A: Given Table:-   x 2 5 8 9 15 f(x) 11 40 35 27 15

Q: Evaluate the integrals: a) fxe-² dx. хе 2 b) ſ² sin πtdt. -3

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Q: The average cost for a company to produce x units of a product is given by the function…

A: The average cost for a company to produce x units of a product is given by the function…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. da (463-1) 25 dt = ab…

A: Given query is to find the derivative.

Q: OHaganBooks.com has been experiencing a run of bad luck with its summer college intern program in…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  to find the…

Q: Use a power series to represent the function f(x) = Provide your answer below: m 2 6x + 5 I centered…

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Q: Find the total work done if the motion is caused by the force field F(x, y, z) = (x+yz)i + (y+xz)j +…

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Q: Let f(x) = −x¹ − 5x³ + 4x + 1. Find the open intervals on which f is concave up (down). Then…

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Q: Given that "f(z)dx=14, what is "f(u)d da 3

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Q: 1) Graph 1 period of y = 2 tan (+) A

A: To plot the graph of the given trigonometric equation.

Q: 3 lim x→∞ x 4

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Q: Find the surface area of the rectangular solid with with length 1 = 6.8 ft, width w = 4.5 ft, and…

A: The rectangular solid has length l=6.8 ft, width w=4.5 ft, and height h=2.7 ft. We have to find the…

Q: 3. (y² - xy)dx + x²dy = 0

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Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: Calculate Tu, Tu, and n(u, v) for the parametrized surface at the given point. Then find the…

A: NOTE: Refresh your page if you can't see any equations. . here we have u=5 and v=9 so the point…

Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

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Q: Consider the indefinite integral: A The integrand has the following partial fraction decomposition:…

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Q: Set up an integral that represents the arc length of the function y = 4x4 + 4x from the point (-2,…

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Q: For y=f(x)=9x3​, x=4​, and Δx=0.08 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​,…

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given, an=67n+7

Q: Find the arc length of the curve x = Length = 4y³/2 from y = 0 to y = 5.

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Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

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Q: Note that some problems 1. Draw a graph of a function f(x) that is continuous over the interval…

A: Please see the below answer.

Q: Evaluate the surface integral. J[ ² S is the surface x = y + 3z², 0 ≤ y ≤ 1,0 ≤ z ≤ 5 z dS

A: Here we have to evaluate the given surface integral where S is the surface x=y+3z2 , 0&lt;=y&lt;=1,…

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

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Q: Find the total area of the shaded region. 10- 8 6 4 Ay 15 2 p y=9 π/2 2 y=9 cos x it 3m/2 N X 2x J

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Q: (D³-2D²-5D+6)y=e³x, Find Yp O a. 1 10 O b. OC. xe O d. xe 1 10 3.x 3x 10 10 e. none 3x 3x

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

Q: 1 C 10 4 3 2 1 To find the blue shaded area above, we would calculate: [ f(x)dx = area Where: a =…

A: Given query is to find the area of the shaded region.

Q: Evaluate the definite integral [² (9x² - 6x +9) dx

A: ∫279x2-6x+9dx

Q: (D4-1)y = sinx, Find Yp 1 10 a. O b. 1 15 O c. 1 10 O d. 1 sin 2x sin2x -cos2x 15 -cos2x e. none

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Q: 5. Which of the following differential equation is not Bernoulli b. y' = y(x-y)(x + y) a. y' = y√x…

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Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

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Q: In Exercises 61-66, find an equation for each graph. 61. -2# 2# ÄA Af AA 3″ 5m 62. 63. -3m R/C bire…

A: Answer is in step 2.

Q: Evaluate the indefinite integral. 9dx x ln(2x) +C

A: The given integral is an indefinite integral . We solve this integral using substitution method .

Q: Find the roots of (D4 + D² + 1) O a. 1± √3 0*1+√³. 2 1± √√3 2 b. Ob-1± √³, -1 ± √3 -1± √√3 2 2 OC.…

A: